Greatest Common Factor of 70/44, 227/40, 329/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/44, 227/40, 329/542

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 70/44,227/40,329/542

Given fractions are 70/44,227/40,329/542

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 70,227,329

Greatest Common Factor of Numerators i.e. GCF of 70,227,329 is 1 .

LCM of Denominators means LCM of 44,40,542 as per the given fractions.

LCM of 44,40,542 is 119240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,227,329

GCF of Fractions 70/44,227/40,329/542 is 1/119240

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

Greatest Common Factor of 70,227,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,227,329 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 70,227,329 . The biggest common factor number is the GCF number.
So the greatest common factor 70,227,329 is 1.

Lets's calculate LCM of 44,40,542

2 44, 40, 542
2 22, 20, 271
11, 10, 271

∴ So the LCM of the given numbers is 2 x 2 x 11 x 10 x 271 = 119240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119240

Therefore, the GCF of Fractions 70/44,227/40,329/542 is 1/119240

Least Common Multiple of 44,40,542 with GCF Formula

Least Common Multiple of 44,40,542 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 44,40,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,40,542) = 2

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

GCF(44,40,542) x common factors =2 x 4 = 8

LCM(44,40,542) = ( 44 × 40 × 542 ) / 8

LCM(44,40,542) = 953920 / 8

LCM(44,40,542) = 119240


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 70/44, 227/40, 329/542

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 70/44, 227/40, 329/542?

Answer: GCF of Numerators as per given numbers 70/44, 227/40, 329/542 is

GCF of Numerators i.e. for 70,227,329 is 1

LCM of denominators i.e. for 44,40,542 is 119240.

Thus, GCF of Fractions is 1/119240.Finally, GCF of Fractions for 70/44, 227/40, 329/542 is 1/119240.