Greatest Common Factor of 771/554, 899/320, 749/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 771/554, 899/320, 749/240

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 771/554,899/320,749/240

Given fractions are 771/554,899/320,749/240

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 771,899,749

Greatest Common Factor of Numerators i.e. GCF of 771,899,749 is 1 .

LCM of Denominators means LCM of 554,320,240 as per the given fractions.

LCM of 554,320,240 is 265920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 771,899,749

GCF of Fractions 771/554,899/320,749/240 is 1/265920

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

Greatest Common Factor of 771,899,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,899,749 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 771,899,749 . The biggest common factor number is the GCF number.
So the greatest common factor 771,899,749 is 1.

Lets's calculate LCM of 554,320,240

2 554, 320, 240
2 277, 160, 120
2 277, 80, 60
2 277, 40, 30
5 277, 20, 15
277, 4, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 277 x 4 x 3 = 265920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265920

Therefore, the GCF of Fractions 771/554,899/320,749/240 is 1/265920

Least Common Multiple of 554,320,240 with GCF Formula

Least Common Multiple of 554,320,240 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 554,320,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,320,240) = 2

common factors(in case of two or more numbers have common factors) = 80

GCF(554,320,240) x common factors =2 x 80 = 160

LCM(554,320,240) = ( 554 × 320 × 240 ) / 160

LCM(554,320,240) = 42547200 / 160

LCM(554,320,240) = 265920


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 771/554, 899/320, 749/240

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 771/554, 899/320, 749/240?

Answer: GCF of Numerators as per given numbers 771/554, 899/320, 749/240 is

GCF of Numerators i.e. for 771,899,749 is 1

LCM of denominators i.e. for 554,320,240 is 265920.

Thus, GCF of Fractions is 1/265920.Finally, GCF of Fractions for 771/554, 899/320, 749/240 is 1/265920.