How to Find GCF of 6262/237, 3500/167?

GCF of 6262/237, 3500/167

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 6262/237, 3500/167 i.e 2/39579 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6262/237, 3500/167.

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 6262/237,3500/167?

Given fractions are 6262/237,3500/167

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 6262/237,3500/167, numerators are 6262,3500

Denominators are 237,167

The GCF of 6262,3500 is 2 .

LCM of 237,167 is 39579.

The greatest common factor of 6262/237,3500/167 = [GCF of 6262,3500]/[LCM of 237,167]= 2/39579

Therefore, the GCF of 6262/237,3500/167 is 2/39579.

Greatest Common Factor of 6262,3500

To find the highest common factor of 6262,3500, we have to find the factors of both numbers and list the highest common factor.

The factors of 6262 are 1, 2, 31, 62, 101, 202, 3131, 6262

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 6262,3500 is 2.

Lets's calculate GCF of 6262,3500

Greatest Common Factor (GCF) of 6262,3500 By Common Division

2	6262, 3500
	3131, 1750

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

Greatest Common Factor of 6262,3500 By Matching Biggest Common Factor Method

Now, list down the factors of 6262

1,2,31,62,101,202,3131,6262

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 6262,3500 . The biggest common factor number is the GCF number.
So the greatest common factor 6262,3500 is 2.

Lets's calculate LCM of 237,167

Lowest Common Multiple of 237,167 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 39579

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39579

Therefore, the GCF of Fractions 6262/237,3500/167 is 2/39579

Least Common Multiple of 237,167 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 237,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,167) = 1

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

GCF(237,167) x common factors =1 x 1 = 1

LCM(237,167) = ( 237 × 167 ) / 1

LCM(237,167) = 39579 / 1

LCM(237,167) = 39579

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6262/237, 3500/167

1. What is the HCF of 6262,3500?

The HCF of 6262,3500 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 6262/237, 3500/167?

Answer: GCF of Numerators as per given numbers 6262/237, 3500/167 is

GCF of Numerators i.e. for 6262,3500 is 2

LCM of denominators i.e. for 237,167 is 39579.

Thus, GCF of Fractions is 2/39579.Finally, GCF of Fractions for 6262/237, 3500/167 is 2/39579.