Greatest Common Factor of 786/44, 924/5028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 786/44, 924/5028

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 786/44,924/5028

Given fractions are 786/44,924/5028

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 786,924

Greatest Common Factor of Numerators i.e. GCF of 786,924 is 6 .

LCM of Denominators means LCM of 44,5028 as per the given fractions.

LCM of 44,5028 is 55308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 786,924

GCF of Fractions 786/44,924/5028 is 6/55308

2 786, 924
3 393, 462
131, 154

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

Greatest Common Factor of 786,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,924 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 786,924 . The biggest common factor number is the GCF number.
So the greatest common factor 786,924 is 6.

Lets's calculate LCM of 44,5028

2 44, 5028
2 22, 2514
11, 1257

∴ So the LCM of the given numbers is 2 x 2 x 11 x 1257 = 55308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/55308

Therefore, the GCF of Fractions 786/44,924/5028 is 6/55308

Least Common Multiple of 44,5028 with GCF Formula

Least Common Multiple of 44,5028 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 44,5028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,5028) = 4

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

GCF(44,5028) x common factors =4 x 1 = 4

LCM(44,5028) = ( 44 × 5028 ) / 4

LCM(44,5028) = 221232 / 4

LCM(44,5028) = 55308


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 786/44, 924/5028

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 786/44, 924/5028?

Answer: GCF of Numerators as per given numbers 786/44, 924/5028 is

GCF of Numerators i.e. for 786,924 is 6

LCM of denominators i.e. for 44,5028 is 55308.

Thus, GCF of Fractions is 6/55308.Finally, GCF of Fractions for 786/44, 924/5028 is 6/55308.