Greatest Common Factor of 56/725, 346/173, 595/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/725, 346/173, 595/224

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 56/725,346/173,595/224

Given fractions are 56/725,346/173,595/224

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 56,346,595

Greatest Common Factor of Numerators i.e. GCF of 56,346,595 is 1 .

LCM of Denominators means LCM of 725,173,224 as per the given fractions.

LCM of 725,173,224 is 28095200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,346,595

GCF of Fractions 56/725,346/173,595/224 is 1/28095200

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

Greatest Common Factor of 56,346,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,346,595 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 56,346,595 . The biggest common factor number is the GCF number.
So the greatest common factor 56,346,595 is 1.

Lets's calculate LCM of 725,173,224

Given numbers has no common factors except 1. So, there LCM is their product i.e 28095200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28095200

Therefore, the GCF of Fractions 56/725,346/173,595/224 is 1/28095200

Least Common Multiple of 725,173,224 with GCF Formula

Least Common Multiple of 725,173,224 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 725,173,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,173,224) = 1

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

GCF(725,173,224) x common factors =1 x 1 = 1

LCM(725,173,224) = ( 725 × 173 × 224 ) / 1

LCM(725,173,224) = 28095200 / 1

LCM(725,173,224) = 28095200


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 56/725, 346/173, 595/224

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 56/725, 346/173, 595/224?

Answer: GCF of Numerators as per given numbers 56/725, 346/173, 595/224 is

GCF of Numerators i.e. for 56,346,595 is 1

LCM of denominators i.e. for 725,173,224 is 28095200.

Thus, GCF of Fractions is 1/28095200.Finally, GCF of Fractions for 56/725, 346/173, 595/224 is 1/28095200.