Greatest Common Factor of 561/748, 659/584, 212/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 561/748, 659/584, 212/719

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 561/748,659/584,212/719

Given fractions are 561/748,659/584,212/719

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 561,659,212

Greatest Common Factor of Numerators i.e. GCF of 561,659,212 is 1 .

LCM of Denominators means LCM of 748,584,719 as per the given fractions.

LCM of 748,584,719 is 78520552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 561,659,212

GCF of Fractions 561/748,659/584,212/719 is 1/78520552

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

Greatest Common Factor of 561,659,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,659,212 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 561,659,212 . The biggest common factor number is the GCF number.
So the greatest common factor 561,659,212 is 1.

Lets's calculate LCM of 748,584,719

2 748, 584, 719
2 374, 292, 719
187, 146, 719

∴ So the LCM of the given numbers is 2 x 2 x 187 x 146 x 719 = 78520552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78520552

Therefore, the GCF of Fractions 561/748,659/584,212/719 is 1/78520552

Least Common Multiple of 748,584,719 with GCF Formula

Least Common Multiple of 748,584,719 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 748,584,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,584,719) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(748,584,719) x common factors =1 x 4 = 4

LCM(748,584,719) = ( 748 × 584 × 719 ) / 4

LCM(748,584,719) = 314082208 / 4

LCM(748,584,719) = 78520552


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 561/748, 659/584, 212/719

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 561/748, 659/584, 212/719?

Answer: GCF of Numerators as per given numbers 561/748, 659/584, 212/719 is

GCF of Numerators i.e. for 561,659,212 is 1

LCM of denominators i.e. for 748,584,719 is 78520552.

Thus, GCF of Fractions is 1/78520552.Finally, GCF of Fractions for 561/748, 659/584, 212/719 is 1/78520552.