Greatest Common Factor of 1547/688, 9424/7844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1547/688, 9424/7844

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 1547/688,9424/7844

Given fractions are 1547/688,9424/7844

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 1547,9424

Greatest Common Factor of Numerators i.e. GCF of 1547,9424 is 1 .

LCM of Denominators means LCM of 688,7844 as per the given fractions.

LCM of 688,7844 is 1349168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1547,9424

GCF of Fractions 1547/688,9424/7844 is 1/1349168

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1547,9424 By Matching Biggest Common Factor Method

Greatest Common Factor of 1547,9424 By Matching Biggest Common Factor Method

Factors of 1547

List of positive integer factors of 1547 that divides 1547 without a remainder.

1,7,13,17,91,119,221,1547

Factors of 9424

List of positive integer factors of 9424 that divides 9424 without a remainder.

1,2,4,8,16,19,31,38,62,76,124,152,248,304,496,589,1178,2356,4712,9424

Greatest Common Factor

We found the factors 1547,9424 . The biggest common factor number is the GCF number.
So the greatest common factor 1547,9424 is 1.

Lets's calculate LCM of 688,7844

2 688, 7844
2 344, 3922
172, 1961

∴ So the LCM of the given numbers is 2 x 2 x 172 x 1961 = 1349168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1349168

Therefore, the GCF of Fractions 1547/688,9424/7844 is 1/1349168

Least Common Multiple of 688,7844 with GCF Formula

Least Common Multiple of 688,7844 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 688,7844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,7844) = 4

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

GCF(688,7844) x common factors =4 x 1 = 4

LCM(688,7844) = ( 688 × 7844 ) / 4

LCM(688,7844) = 5396672 / 4

LCM(688,7844) = 1349168


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 1547/688, 9424/7844

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 1547/688, 9424/7844?

Answer: GCF of Numerators as per given numbers 1547/688, 9424/7844 is

GCF of Numerators i.e. for 1547,9424 is 1

LCM of denominators i.e. for 688,7844 is 1349168.

Thus, GCF of Fractions is 1/1349168.Finally, GCF of Fractions for 1547/688, 9424/7844 is 1/1349168.