Greatest Common Factor of 1351/917, 5534/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1351/917, 5534/624

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 1351/917,5534/624

Given fractions are 1351/917,5534/624

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 1351,5534

Greatest Common Factor of Numerators i.e. GCF of 1351,5534 is 1 .

LCM of Denominators means LCM of 917,624 as per the given fractions.

LCM of 917,624 is 572208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1351,5534

GCF of Fractions 1351/917,5534/624 is 1/572208

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

Greatest Common Factor of 1351,5534 By Matching Biggest Common Factor Method

Greatest Common Factor of 1351,5534 By Matching Biggest Common Factor Method

Factors of 1351

List of positive integer factors of 1351 that divides 1351 without a remainder.

1,7,193,1351

Factors of 5534

List of positive integer factors of 5534 that divides 5534 without a remainder.

1,2,2767,5534

Greatest Common Factor

We found the factors 1351,5534 . The biggest common factor number is the GCF number.
So the greatest common factor 1351,5534 is 1.

Lets's calculate LCM of 917,624

Given numbers has no common factors except 1. So, there LCM is their product i.e 572208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/572208

Therefore, the GCF of Fractions 1351/917,5534/624 is 1/572208

Least Common Multiple of 917,624 with GCF Formula

Least Common Multiple of 917,624 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 917,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(917,624) = 1

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

GCF(917,624) x common factors =1 x 1 = 1

LCM(917,624) = ( 917 × 624 ) / 1

LCM(917,624) = 572208 / 1

LCM(917,624) = 572208


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 1351/917, 5534/624

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 1351/917, 5534/624?

Answer: GCF of Numerators as per given numbers 1351/917, 5534/624 is

GCF of Numerators i.e. for 1351,5534 is 1

LCM of denominators i.e. for 917,624 is 572208.

Thus, GCF of Fractions is 1/572208.Finally, GCF of Fractions for 1351/917, 5534/624 is 1/572208.