Greatest Common Factor of 1151/554, 2817/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1151/554, 2817/664

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 1151/554,2817/664

Given fractions are 1151/554,2817/664

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 1151,2817

Greatest Common Factor of Numerators i.e. GCF of 1151,2817 is 1 .

LCM of Denominators means LCM of 554,664 as per the given fractions.

LCM of 554,664 is 183928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1151,2817

GCF of Fractions 1151/554,2817/664 is 1/183928

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

Greatest Common Factor of 1151,2817 By Matching Biggest Common Factor Method

Greatest Common Factor of 1151,2817 By Matching Biggest Common Factor Method

Factors of 1151

List of positive integer factors of 1151 that divides 1151 without a remainder.

1,1151

Factors of 2817

List of positive integer factors of 2817 that divides 2817 without a remainder.

1,3,9,313,939,2817

Greatest Common Factor

We found the factors 1151,2817 . The biggest common factor number is the GCF number.
So the greatest common factor 1151,2817 is 1.

Lets's calculate LCM of 554,664

2 554, 664
277, 332

∴ So the LCM of the given numbers is 2 x 277 x 332 = 183928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183928

Therefore, the GCF of Fractions 1151/554,2817/664 is 1/183928

Least Common Multiple of 554,664 with GCF Formula

Least Common Multiple of 554,664 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 554,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,664) = 2

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

GCF(554,664) x common factors =2 x 1 = 2

LCM(554,664) = ( 554 × 664 ) / 2

LCM(554,664) = 367856 / 2

LCM(554,664) = 183928


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 1151/554, 2817/664

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 1151/554, 2817/664?

Answer: GCF of Numerators as per given numbers 1151/554, 2817/664 is

GCF of Numerators i.e. for 1151,2817 is 1

LCM of denominators i.e. for 554,664 is 183928.

Thus, GCF of Fractions is 1/183928.Finally, GCF of Fractions for 1151/554, 2817/664 is 1/183928.