How to Find GCF of 3100/889, 6058/8012?

GCF of 3100/889, 6058/8012

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 3100/889, 6058/8012 i.e 2/7122668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3100/889, 6058/8012.

Enter two or more fractions separated by "commas"

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

What is the GCF of 3100/889,6058/8012?

Given fractions are 3100/889,6058/8012

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 3100/889,6058/8012, numerators are 3100,6058

Denominators are 889,8012

The GCF of 3100,6058 is 2 .

LCM of 889,8012 is 7122668.

The greatest common factor of 3100/889,6058/8012 = [GCF of 3100,6058]/[LCM of 889,8012]= 2/7122668

Therefore, the GCF of 3100/889,6058/8012 is 2/7122668.

Greatest Common Factor of 3100,6058

To find the highest common factor of 3100,6058, we have to find the factors of both numbers and list the highest common factor.

The factors of 3100 are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100

The factors of 6058 are 1, 2, 13, 26, 233, 466, 3029, 6058

The HCF of 3100,6058 is 2.

Lets's calculate GCF of 3100,6058

Greatest Common Factor (GCF) of 3100,6058 By Common Division

2	3100, 6058
	1550, 3029

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3100,6058 By Matching Biggest Common Factor Method

Now, list down the factors of 3100

1,2,4,5,10,20,25,31,50,62,100,124,155,310,620,775,1550,3100

Now, list down the factors of 6058

1,2,13,26,233,466,3029,6058

Greatest Common Factor

We found the factors 3100,6058 . The biggest common factor number is the GCF number.
So the greatest common factor 3100,6058 is 2.

Lets's calculate LCM of 889,8012

Lowest Common Multiple of 889,8012 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7122668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7122668

Therefore, the GCF of Fractions 3100/889,6058/8012 is 2/7122668

Least Common Multiple of 889,8012 with GCF Formula

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

We need to calculate greatest common factor of 889,8012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,8012) = 1

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

GCF(889,8012) x common factors =1 x 1 = 1

LCM(889,8012) = ( 889 × 8012 ) / 1

LCM(889,8012) = 7122668 / 1

LCM(889,8012) = 7122668

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3100/889, 6058/8012

1. What is the HCF of 3100,6058?

The HCF of 3100,6058 is 2

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 3100/889, 6058/8012?

Answer: GCF of Numerators as per given numbers 3100/889, 6058/8012 is

GCF of Numerators i.e. for 3100,6058 is 2

LCM of denominators i.e. for 889,8012 is 7122668.

Thus, GCF of Fractions is 2/7122668.Finally, GCF of Fractions for 3100/889, 6058/8012 is 2/7122668.