Greatest Common Factor of 3640/89, 7056/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3640/89, 7056/712

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 3640/89,7056/712

Given fractions are 3640/89,7056/712

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 3640,7056

Greatest Common Factor of Numerators i.e. GCF of 3640,7056 is 56 .

LCM of Denominators means LCM of 89,712 as per the given fractions.

LCM of 89,712 is 712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3640,7056

GCF of Fractions 3640/89,7056/712 is 56/712

2 3640, 7056
2 1820, 3528
2 910, 1764
7 455, 882
65, 126

∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56

Greatest Common Factor of 3640,7056 By Matching Biggest Common Factor Method

Greatest Common Factor of 3640,7056 By Matching Biggest Common Factor Method

Factors of 3640

List of positive integer factors of 3640 that divides 3640 without a remainder.

1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640

Factors of 7056

List of positive integer factors of 7056 that divides 7056 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,49,56,63,72,84,98,112,126,144,147,168,196,252,294,336,392,441,504,588,784,882,1008,1176,1764,2352,3528,7056

Greatest Common Factor

We found the factors 3640,7056 . The biggest common factor number is the GCF number.
So the greatest common factor 3640,7056 is 56.

Lets's calculate LCM of 89,712

89 89, 712
1, 8

∴ So the LCM of the given numbers is 89 x 1 x 8 = 712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/712

Therefore, the GCF of Fractions 3640/89,7056/712 is 56/712

Least Common Multiple of 89,712 with GCF Formula

Least Common Multiple of 89,712 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 89,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,712) = 89

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

GCF(89,712) x common factors =89 x 1 = 89

LCM(89,712) = ( 89 × 712 ) / 89

LCM(89,712) = 63368 / 89

LCM(89,712) = 712


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 3640/89, 7056/712

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 3640/89, 7056/712?

Answer: GCF of Numerators as per given numbers 3640/89, 7056/712 is

GCF of Numerators i.e. for 3640,7056 is 56

LCM of denominators i.e. for 89,712 is 712.

Thus, GCF of Fractions is 56/712.Finally, GCF of Fractions for 3640/89, 7056/712 is 56/712.