Greatest Common Factor of 7417/810, 1056/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7417/810, 1056/424

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 7417/810,1056/424

Given fractions are 7417/810,1056/424

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 7417,1056

Greatest Common Factor of Numerators i.e. GCF of 7417,1056 is 1 .

LCM of Denominators means LCM of 810,424 as per the given fractions.

LCM of 810,424 is 171720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7417,1056

GCF of Fractions 7417/810,1056/424 is 1/171720

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

Greatest Common Factor of 7417,1056 By Matching Biggest Common Factor Method

Greatest Common Factor of 7417,1056 By Matching Biggest Common Factor Method

Factors of 7417

List of positive integer factors of 7417 that divides 7417 without a remainder.

1,7417

Factors of 1056

List of positive integer factors of 1056 that divides 1056 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,66,88,96,132,176,264,352,528,1056

Greatest Common Factor

We found the factors 7417,1056 . The biggest common factor number is the GCF number.
So the greatest common factor 7417,1056 is 1.

Lets's calculate LCM of 810,424

2 810, 424
405, 212

∴ So the LCM of the given numbers is 2 x 405 x 212 = 171720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171720

Therefore, the GCF of Fractions 7417/810,1056/424 is 1/171720

Least Common Multiple of 810,424 with GCF Formula

Least Common Multiple of 810,424 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 810,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,424) = 2

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

GCF(810,424) x common factors =2 x 1 = 2

LCM(810,424) = ( 810 × 424 ) / 2

LCM(810,424) = 343440 / 2

LCM(810,424) = 171720


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 7417/810, 1056/424

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 7417/810, 1056/424?

Answer: GCF of Numerators as per given numbers 7417/810, 1056/424 is

GCF of Numerators i.e. for 7417,1056 is 1

LCM of denominators i.e. for 810,424 is 171720.

Thus, GCF of Fractions is 1/171720.Finally, GCF of Fractions for 7417/810, 1056/424 is 1/171720.