Greatest Common Factor of 34/50, 78/78, 573/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/50, 78/78, 573/404

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 34/50,78/78,573/404

Given fractions are 34/50,78/78,573/404

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 34,78,573

Greatest Common Factor of Numerators i.e. GCF of 34,78,573 is 1 .

LCM of Denominators means LCM of 50,78,404 as per the given fractions.

LCM of 50,78,404 is 393900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,78,573

GCF of Fractions 34/50,78/78,573/404 is 1/393900

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

Greatest Common Factor of 34,78,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,78,573 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 34,78,573 . The biggest common factor number is the GCF number.
So the greatest common factor 34,78,573 is 1.

Lets's calculate LCM of 50,78,404

2 50, 78, 404
25, 39, 202

∴ So the LCM of the given numbers is 2 x 25 x 39 x 202 = 393900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393900

Therefore, the GCF of Fractions 34/50,78/78,573/404 is 1/393900

Least Common Multiple of 50,78,404 with GCF Formula

Least Common Multiple of 50,78,404 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 50,78,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,78,404) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(50,78,404) x common factors =2 x 2 = 4

LCM(50,78,404) = ( 50 × 78 × 404 ) / 4

LCM(50,78,404) = 1575600 / 4

LCM(50,78,404) = 393900


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 34/50, 78/78, 573/404

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 34/50, 78/78, 573/404?

Answer: GCF of Numerators as per given numbers 34/50, 78/78, 573/404 is

GCF of Numerators i.e. for 34,78,573 is 1

LCM of denominators i.e. for 50,78,404 is 393900.

Thus, GCF of Fractions is 1/393900.Finally, GCF of Fractions for 34/50, 78/78, 573/404 is 1/393900.