Greatest Common Factor of 721/714, 740/977, 649/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 721/714, 740/977, 649/240

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 721/714,740/977,649/240

Given fractions are 721/714,740/977,649/240

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 721,740,649

Greatest Common Factor of Numerators i.e. GCF of 721,740,649 is 1 .

LCM of Denominators means LCM of 714,977,240 as per the given fractions.

LCM of 714,977,240 is 27903120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 721,740,649

GCF of Fractions 721/714,740/977,649/240 is 1/27903120

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

Greatest Common Factor of 721,740,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,740,649 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 721,740,649 . The biggest common factor number is the GCF number.
So the greatest common factor 721,740,649 is 1.

Lets's calculate LCM of 714,977,240

2 714, 977, 240
3 357, 977, 120
119, 977, 40

∴ So the LCM of the given numbers is 2 x 3 x 119 x 977 x 40 = 27903120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27903120

Therefore, the GCF of Fractions 721/714,740/977,649/240 is 1/27903120

Least Common Multiple of 714,977,240 with GCF Formula

Least Common Multiple of 714,977,240 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 714,977,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,977,240) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(714,977,240) x common factors =1 x 6 = 6

LCM(714,977,240) = ( 714 × 977 × 240 ) / 6

LCM(714,977,240) = 167418720 / 6

LCM(714,977,240) = 27903120


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 721/714, 740/977, 649/240

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 721/714, 740/977, 649/240?

Answer: GCF of Numerators as per given numbers 721/714, 740/977, 649/240 is

GCF of Numerators i.e. for 721,740,649 is 1

LCM of denominators i.e. for 714,977,240 is 27903120.

Thus, GCF of Fractions is 1/27903120.Finally, GCF of Fractions for 721/714, 740/977, 649/240 is 1/27903120.