Greatest Common Factor of 560/52, 3984/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 560/52, 3984/605

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 560/52,3984/605

Given fractions are 560/52,3984/605

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 560,3984

Greatest Common Factor of Numerators i.e. GCF of 560,3984 is 16 .

LCM of Denominators means LCM of 52,605 as per the given fractions.

LCM of 52,605 is 31460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 560,3984

GCF of Fractions 560/52,3984/605 is 16/31460

2 560, 3984
2 280, 1992
2 140, 996
2 70, 498
35, 249

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 560,3984 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,3984 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 3984

List of positive integer factors of 3984 that divides 3984 without a remainder.

1,2,3,4,6,8,12,16,24,48,83,166,249,332,498,664,996,1328,1992,3984

Greatest Common Factor

We found the factors 560,3984 . The biggest common factor number is the GCF number.
So the greatest common factor 560,3984 is 16.

Lets's calculate LCM of 52,605

Given numbers has no common factors except 1. So, there LCM is their product i.e 31460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/31460

Therefore, the GCF of Fractions 560/52,3984/605 is 16/31460

Least Common Multiple of 52,605 with GCF Formula

Least Common Multiple of 52,605 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 52,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,605) = 1

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

GCF(52,605) x common factors =1 x 1 = 1

LCM(52,605) = ( 52 × 605 ) / 1

LCM(52,605) = 31460 / 1

LCM(52,605) = 31460


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 560/52, 3984/605

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 560/52, 3984/605?

Answer: GCF of Numerators as per given numbers 560/52, 3984/605 is

GCF of Numerators i.e. for 560,3984 is 16

LCM of denominators i.e. for 52,605 is 31460.

Thus, GCF of Fractions is 16/31460.Finally, GCF of Fractions for 560/52, 3984/605 is 16/31460.