Greatest Common Factor of 5386/37, 4560/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5386/37, 4560/632

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 5386/37,4560/632

Given fractions are 5386/37,4560/632

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 5386,4560

Greatest Common Factor of Numerators i.e. GCF of 5386,4560 is 2 .

LCM of Denominators means LCM of 37,632 as per the given fractions.

LCM of 37,632 is 23384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5386,4560

GCF of Fractions 5386/37,4560/632 is 2/23384

2 5386, 4560
2693, 2280

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

Greatest Common Factor of 5386,4560 By Matching Biggest Common Factor Method

Greatest Common Factor of 5386,4560 By Matching Biggest Common Factor Method

Factors of 5386

List of positive integer factors of 5386 that divides 5386 without a remainder.

1,2,2693,5386

Factors of 4560

List of positive integer factors of 4560 that divides 4560 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,38,40,48,57,60,76,80,95,114,120,152,190,228,240,285,304,380,456,570,760,912,1140,1520,2280,4560

Greatest Common Factor

We found the factors 5386,4560 . The biggest common factor number is the GCF number.
So the greatest common factor 5386,4560 is 2.

Lets's calculate LCM of 37,632

Given numbers has no common factors except 1. So, there LCM is their product i.e 23384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23384

Therefore, the GCF of Fractions 5386/37,4560/632 is 2/23384

Least Common Multiple of 37,632 with GCF Formula

Least Common Multiple of 37,632 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 37,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,632) = 1

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

GCF(37,632) x common factors =1 x 1 = 1

LCM(37,632) = ( 37 × 632 ) / 1

LCM(37,632) = 23384 / 1

LCM(37,632) = 23384


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 5386/37, 4560/632

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 5386/37, 4560/632?

Answer: GCF of Numerators as per given numbers 5386/37, 4560/632 is

GCF of Numerators i.e. for 5386,4560 is 2

LCM of denominators i.e. for 37,632 is 23384.

Thus, GCF of Fractions is 2/23384.Finally, GCF of Fractions for 5386/37, 4560/632 is 2/23384.