Greatest Common Factor of 4291/106, 9424/7810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4291/106, 9424/7810

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 4291/106,9424/7810

Given fractions are 4291/106,9424/7810

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 4291,9424

Greatest Common Factor of Numerators i.e. GCF of 4291,9424 is 1 .

LCM of Denominators means LCM of 106,7810 as per the given fractions.

LCM of 106,7810 is 413930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4291,9424

GCF of Fractions 4291/106,9424/7810 is 1/413930

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

Greatest Common Factor of 4291,9424 By Matching Biggest Common Factor Method

Greatest Common Factor of 4291,9424 By Matching Biggest Common Factor Method

Factors of 4291

List of positive integer factors of 4291 that divides 4291 without a remainder.

1,7,613,4291

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 4291,9424 . The biggest common factor number is the GCF number.
So the greatest common factor 4291,9424 is 1.

Lets's calculate LCM of 106,7810

2 106, 7810
53, 3905

∴ So the LCM of the given numbers is 2 x 53 x 3905 = 413930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/413930

Therefore, the GCF of Fractions 4291/106,9424/7810 is 1/413930

Least Common Multiple of 106,7810 with GCF Formula

Least Common Multiple of 106,7810 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 106,7810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,7810) = 2

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

GCF(106,7810) x common factors =2 x 1 = 2

LCM(106,7810) = ( 106 × 7810 ) / 2

LCM(106,7810) = 827860 / 2

LCM(106,7810) = 413930


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 4291/106, 9424/7810

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 4291/106, 9424/7810?

Answer: GCF of Numerators as per given numbers 4291/106, 9424/7810 is

GCF of Numerators i.e. for 4291,9424 is 1

LCM of denominators i.e. for 106,7810 is 413930.

Thus, GCF of Fractions is 1/413930.Finally, GCF of Fractions for 4291/106, 9424/7810 is 1/413930.