Greatest Common Factor of 6264/710, 4147/4354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6264/710, 4147/4354

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 6264/710,4147/4354

Given fractions are 6264/710,4147/4354

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 6264,4147

Greatest Common Factor of Numerators i.e. GCF of 6264,4147 is 29 .

LCM of Denominators means LCM of 710,4354 as per the given fractions.

LCM of 710,4354 is 1545670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6264,4147

GCF of Fractions 6264/710,4147/4354 is 29/1545670

29 6264, 4147
216, 143

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 6264,4147 By Matching Biggest Common Factor Method

Greatest Common Factor of 6264,4147 By Matching Biggest Common Factor Method

Factors of 6264

List of positive integer factors of 6264 that divides 6264 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264

Factors of 4147

List of positive integer factors of 4147 that divides 4147 without a remainder.

1,11,13,29,143,319,377,4147

Greatest Common Factor

We found the factors 6264,4147 . The biggest common factor number is the GCF number.
So the greatest common factor 6264,4147 is 29.

Lets's calculate LCM of 710,4354

2 710, 4354
355, 2177

∴ So the LCM of the given numbers is 2 x 355 x 2177 = 1545670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/1545670

Therefore, the GCF of Fractions 6264/710,4147/4354 is 29/1545670

Least Common Multiple of 710,4354 with GCF Formula

Least Common Multiple of 710,4354 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 710,4354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,4354) = 2

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

GCF(710,4354) x common factors =2 x 1 = 2

LCM(710,4354) = ( 710 × 4354 ) / 2

LCM(710,4354) = 3091340 / 2

LCM(710,4354) = 1545670


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 6264/710, 4147/4354

1. 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.

2. What is the GCF of Fractions for 6264/710, 4147/4354?

Answer: GCF of Numerators as per given numbers 6264/710, 4147/4354 is

GCF of Numerators i.e. for 6264,4147 is 29

LCM of denominators i.e. for 710,4354 is 1545670.

Thus, GCF of Fractions is 29/1545670.Finally, GCF of Fractions for 6264/710, 4147/4354 is 29/1545670.