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GCF of 8120/109, 3500/6220

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 8120/109, 3500/6220 i.e 140/677980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8120/109, 3500/6220.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8120/109,3500/6220?

Given fractions are 8120/109,3500/6220

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8120/109,3500/6220, numerators are 8120,3500

Denominators are 109,6220

The GCF of 8120,3500 is 140 .

LCM of 109,6220 is 677980.

The greatest common factor of 8120/109,3500/6220 = [GCF of 8120,3500]/[LCM of 109,6220]= 140/677980

Therefore, the GCF of 8120/109,3500/6220 is 140/677980.

Greatest Common Factor of 8120,3500

To find the highest common factor of 8120,3500, we have to find the factors of both numbers and list the highest common factor.

The factors of 8120 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120

The factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500

The HCF of 8120,3500 is 140.

Lets's calculate GCF of 8120,3500

Greatest Common Factor (GCF) of 8120,3500 By Common Division

2 8120, 3500
2 4060, 1750
5 2030, 875
7 406, 175
58, 25

∴ So the GCF of the given numbers is 2 x 2 x 5 x 7 = 140

Greatest Common Factor of 8120,3500 By Matching Biggest Common Factor Method

Greatest Common Factor of 8120,3500 By Matching Biggest Common Factor Method

Now, list down the factors of 8120

:

1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120

Now, list down the factors of 3500

:

1,2,4,5,7,10,14,20,25,28,35,50,70,100,125,140,175,250,350,500,700,875,1750,3500

Greatest Common Factor

We found the factors 8120,3500 . The biggest common factor number is the GCF number.
So the greatest common factor 8120,3500 is 140.


Lets's calculate LCM of 109,6220

Lowest Common Multiple of 109,6220 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 677980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 140/677980

Therefore, the GCF of Fractions 8120/109,3500/6220 is 140/677980

Least Common Multiple of 109,6220 with GCF Formula

Least Common Multiple of 109,6220 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 109,6220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,6220) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(109,6220) x common factors =1 x 1 = 1

LCM(109,6220) = ( 109 × 6220 ) / 1

LCM(109,6220) = 677980 / 1

LCM(109,6220) = 677980


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8120/109, 3500/6220

1. What is the HCF of 8120,3500?

The HCF of 8120,3500 is 140

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 8120/109, 3500/6220?

Answer: GCF of Numerators as per given numbers 8120/109, 3500/6220 is

GCF of Numerators i.e. for 8120,3500 is 140

LCM of denominators i.e. for 109,6220 is 677980.

Thus, GCF of Fractions is 140/677980.Finally, GCF of Fractions for 8120/109, 3500/6220 is 140/677980.