Greatest Common Factor of 8052/456, 3942/8713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8052/456, 3942/8713

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 8052/456,3942/8713

Given fractions are 8052/456,3942/8713

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 8052,3942

Greatest Common Factor of Numerators i.e. GCF of 8052,3942 is 6 .

LCM of Denominators means LCM of 456,8713 as per the given fractions.

LCM of 456,8713 is 3973128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8052,3942

GCF of Fractions 8052/456,3942/8713 is 6/3973128

2 8052, 3942
3 4026, 1971
1342, 657

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8052,3942 By Matching Biggest Common Factor Method

Greatest Common Factor of 8052,3942 By Matching Biggest Common Factor Method

Factors of 8052

List of positive integer factors of 8052 that divides 8052 without a remainder.

1,2,3,4,6,11,12,22,33,44,61,66,122,132,183,244,366,671,732,1342,2013,2684,4026,8052

Factors of 3942

List of positive integer factors of 3942 that divides 3942 without a remainder.

1,2,3,6,9,18,27,54,73,146,219,438,657,1314,1971,3942

Greatest Common Factor

We found the factors 8052,3942 . The biggest common factor number is the GCF number.
So the greatest common factor 8052,3942 is 6.

Lets's calculate LCM of 456,8713

Given numbers has no common factors except 1. So, there LCM is their product i.e 3973128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3973128

Therefore, the GCF of Fractions 8052/456,3942/8713 is 6/3973128

Least Common Multiple of 456,8713 with GCF Formula

Least Common Multiple of 456,8713 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 456,8713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,8713) = 1

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

GCF(456,8713) x common factors =1 x 1 = 1

LCM(456,8713) = ( 456 × 8713 ) / 1

LCM(456,8713) = 3973128 / 1

LCM(456,8713) = 3973128


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 8052/456, 3942/8713

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 8052/456, 3942/8713?

Answer: GCF of Numerators as per given numbers 8052/456, 3942/8713 is

GCF of Numerators i.e. for 8052,3942 is 6

LCM of denominators i.e. for 456,8713 is 3973128.

Thus, GCF of Fractions is 6/3973128.Finally, GCF of Fractions for 8052/456, 3942/8713 is 6/3973128.