Greatest Common Factor of 4/43, 74/42, 92/506, 717/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/43, 74/42, 92/506, 717/774

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 4/43,74/42,92/506,717/774

Given fractions are 4/43,74/42,92/506,717/774

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 4,74,92,717

Greatest Common Factor of Numerators i.e. GCF of 4,74,92,717 is 1 .

LCM of Denominators means LCM of 43,42,506,774 as per the given fractions.

LCM of 43,42,506,774 is 1370754 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,74,92,717

GCF of Fractions 4/43,74/42,92/506,717/774 is 1/1370754

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

Greatest Common Factor of 4,74,92,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,74,92,717 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 4,74,92,717 . The biggest common factor number is the GCF number.
So the greatest common factor 4,74,92,717 is 1.

Lets's calculate LCM of 43,42,506,774

2 43, 42, 506, 774
3 43, 21, 253, 387
43 43, 7, 253, 129
1, 7, 253, 3

∴ So the LCM of the given numbers is 2 x 3 x 43 x 1 x 7 x 253 x 3 = 1370754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1370754

Therefore, the GCF of Fractions 4/43,74/42,92/506,717/774 is 1/1370754

Least Common Multiple of 43,42,506,774 with GCF Formula

Least Common Multiple of 43,42,506,774 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 43,42,506,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,42,506,774) = 1

common factors(in case of two or more numbers have common factors) = 516

GCF(43,42,506,774) x common factors =1 x 516 = 516

LCM(43,42,506,774) = ( 43 × 42 × 506 × 774 ) / 516

LCM(43,42,506,774) = 707309064 / 516

LCM(43,42,506,774) = 1370754


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 4/43, 74/42, 92/506, 717/774

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 4/43, 74/42, 92/506, 717/774?

Answer: GCF of Numerators as per given numbers 4/43, 74/42, 92/506, 717/774 is

GCF of Numerators i.e. for 4,74,92,717 is 1

LCM of denominators i.e. for 43,42,506,774 is 1370754.

Thus, GCF of Fractions is 1/1370754.Finally, GCF of Fractions for 4/43, 74/42, 92/506, 717/774 is 1/1370754.