Greatest Common Factor of 5642/640, 5520/1860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5642/640, 5520/1860

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 5642/640,5520/1860

Given fractions are 5642/640,5520/1860

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 5642,5520

Greatest Common Factor of Numerators i.e. GCF of 5642,5520 is 2 .

LCM of Denominators means LCM of 640,1860 as per the given fractions.

LCM of 640,1860 is 59520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5642,5520

GCF of Fractions 5642/640,5520/1860 is 2/59520

2 5642, 5520
2821, 2760

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

Greatest Common Factor of 5642,5520 By Matching Biggest Common Factor Method

Greatest Common Factor of 5642,5520 By Matching Biggest Common Factor Method

Factors of 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642

Factors of 5520

List of positive integer factors of 5520 that divides 5520 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520

Greatest Common Factor

We found the factors 5642,5520 . The biggest common factor number is the GCF number.
So the greatest common factor 5642,5520 is 2.

Lets's calculate LCM of 640,1860

2 640, 1860
2 320, 930
5 160, 465
32, 93

∴ So the LCM of the given numbers is 2 x 2 x 5 x 32 x 93 = 59520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59520

Therefore, the GCF of Fractions 5642/640,5520/1860 is 2/59520

Least Common Multiple of 640,1860 with GCF Formula

Least Common Multiple of 640,1860 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 640,1860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,1860) = 20

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

GCF(640,1860) x common factors =20 x 1 = 20

LCM(640,1860) = ( 640 × 1860 ) / 20

LCM(640,1860) = 1190400 / 20

LCM(640,1860) = 59520


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 5642/640, 5520/1860

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 5642/640, 5520/1860?

Answer: GCF of Numerators as per given numbers 5642/640, 5520/1860 is

GCF of Numerators i.e. for 5642,5520 is 2

LCM of denominators i.e. for 640,1860 is 59520.

Thus, GCF of Fractions is 2/59520.Finally, GCF of Fractions for 5642/640, 5520/1860 is 2/59520.