Greatest Common Factor of 3628/852, 8736/2754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3628/852, 8736/2754

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 3628/852,8736/2754

Given fractions are 3628/852,8736/2754

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 3628,8736

Greatest Common Factor of Numerators i.e. GCF of 3628,8736 is 4 .

LCM of Denominators means LCM of 852,2754 as per the given fractions.

LCM of 852,2754 is 391068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3628,8736

GCF of Fractions 3628/852,8736/2754 is 4/391068

2 3628, 8736
2 1814, 4368
907, 2184

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3628,8736 By Matching Biggest Common Factor Method

Greatest Common Factor of 3628,8736 By Matching Biggest Common Factor Method

Factors of 3628

List of positive integer factors of 3628 that divides 3628 without a remainder.

1,2,4,907,1814,3628

Factors of 8736

List of positive integer factors of 8736 that divides 8736 without a remainder.

1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,32,39,42,48,52,56,78,84,91,96,104,112,156,168,182,208,224,273,312,336,364,416,546,624,672,728,1092,1248,1456,2184,2912,4368,8736

Greatest Common Factor

We found the factors 3628,8736 . The biggest common factor number is the GCF number.
So the greatest common factor 3628,8736 is 4.

Lets's calculate LCM of 852,2754

2 852, 2754
3 426, 1377
142, 459

∴ So the LCM of the given numbers is 2 x 3 x 142 x 459 = 391068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/391068

Therefore, the GCF of Fractions 3628/852,8736/2754 is 4/391068

Least Common Multiple of 852,2754 with GCF Formula

Least Common Multiple of 852,2754 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 852,2754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,2754) = 6

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

GCF(852,2754) x common factors =6 x 1 = 6

LCM(852,2754) = ( 852 × 2754 ) / 6

LCM(852,2754) = 2346408 / 6

LCM(852,2754) = 391068


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 3628/852, 8736/2754

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 3628/852, 8736/2754?

Answer: GCF of Numerators as per given numbers 3628/852, 8736/2754 is

GCF of Numerators i.e. for 3628,8736 is 4

LCM of denominators i.e. for 852,2754 is 391068.

Thus, GCF of Fractions is 4/391068.Finally, GCF of Fractions for 3628/852, 8736/2754 is 4/391068.