Greatest Common Factor of 46/50, 77/60, 757/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/50, 77/60, 757/838

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 46/50,77/60,757/838

Given fractions are 46/50,77/60,757/838

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 46,77,757

Greatest Common Factor of Numerators i.e. GCF of 46,77,757 is 1 .

LCM of Denominators means LCM of 50,60,838 as per the given fractions.

LCM of 50,60,838 is 125700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,77,757

GCF of Fractions 46/50,77/60,757/838 is 1/125700

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

Greatest Common Factor of 46,77,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,77,757 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 46,77,757 . The biggest common factor number is the GCF number.
So the greatest common factor 46,77,757 is 1.

Lets's calculate LCM of 50,60,838

2 50, 60, 838
5 25, 30, 419
5, 6, 419

∴ So the LCM of the given numbers is 2 x 5 x 5 x 6 x 419 = 125700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125700

Therefore, the GCF of Fractions 46/50,77/60,757/838 is 1/125700

Least Common Multiple of 50,60,838 with GCF Formula

Least Common Multiple of 50,60,838 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 50,60,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,60,838) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(50,60,838) x common factors =2 x 10 = 20

LCM(50,60,838) = ( 50 × 60 × 838 ) / 20

LCM(50,60,838) = 2514000 / 20

LCM(50,60,838) = 125700


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 46/50, 77/60, 757/838

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 46/50, 77/60, 757/838?

Answer: GCF of Numerators as per given numbers 46/50, 77/60, 757/838 is

GCF of Numerators i.e. for 46,77,757 is 1

LCM of denominators i.e. for 50,60,838 is 125700.

Thus, GCF of Fractions is 1/125700.Finally, GCF of Fractions for 46/50, 77/60, 757/838 is 1/125700.