Greatest Common Factor of 326/31, 740/10, 719/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 326/31, 740/10, 719/137

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 326/31,740/10,719/137

Given fractions are 326/31,740/10,719/137

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 326,740,719

Greatest Common Factor of Numerators i.e. GCF of 326,740,719 is 1 .

LCM of Denominators means LCM of 31,10,137 as per the given fractions.

LCM of 31,10,137 is 42470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 326,740,719

GCF of Fractions 326/31,740/10,719/137 is 1/42470

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

Greatest Common Factor of 326,740,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,740,719 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

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 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 326,740,719 . The biggest common factor number is the GCF number.
So the greatest common factor 326,740,719 is 1.

Lets's calculate LCM of 31,10,137

Given numbers has no common factors except 1. So, there LCM is their product i.e 42470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42470

Therefore, the GCF of Fractions 326/31,740/10,719/137 is 1/42470

Least Common Multiple of 31,10,137 with GCF Formula

Least Common Multiple of 31,10,137 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 31,10,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,10,137) = 1

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

GCF(31,10,137) x common factors =1 x 1 = 1

LCM(31,10,137) = ( 31 × 10 × 137 ) / 1

LCM(31,10,137) = 42470 / 1

LCM(31,10,137) = 42470


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 326/31, 740/10, 719/137

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 326/31, 740/10, 719/137?

Answer: GCF of Numerators as per given numbers 326/31, 740/10, 719/137 is

GCF of Numerators i.e. for 326,740,719 is 1

LCM of denominators i.e. for 31,10,137 is 42470.

Thus, GCF of Fractions is 1/42470.Finally, GCF of Fractions for 326/31, 740/10, 719/137 is 1/42470.