Greatest Common Factor of 765/34, 314/26, 431/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 765/34, 314/26, 431/77

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 765/34,314/26,431/77

Given fractions are 765/34,314/26,431/77

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 765,314,431

Greatest Common Factor of Numerators i.e. GCF of 765,314,431 is 1 .

LCM of Denominators means LCM of 34,26,77 as per the given fractions.

LCM of 34,26,77 is 34034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 765,314,431

GCF of Fractions 765/34,314/26,431/77 is 1/34034

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

Greatest Common Factor of 765,314,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,314,431 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 765,314,431 . The biggest common factor number is the GCF number.
So the greatest common factor 765,314,431 is 1.

Lets's calculate LCM of 34,26,77

2 34, 26, 77
17, 13, 77

∴ So the LCM of the given numbers is 2 x 17 x 13 x 77 = 34034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34034

Therefore, the GCF of Fractions 765/34,314/26,431/77 is 1/34034

Least Common Multiple of 34,26,77 with GCF Formula

Least Common Multiple of 34,26,77 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 34,26,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,26,77) = 1

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

GCF(34,26,77) x common factors =1 x 2 = 2

LCM(34,26,77) = ( 34 × 26 × 77 ) / 2

LCM(34,26,77) = 68068 / 2

LCM(34,26,77) = 34034


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 765/34, 314/26, 431/77

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 765/34, 314/26, 431/77?

Answer: GCF of Numerators as per given numbers 765/34, 314/26, 431/77 is

GCF of Numerators i.e. for 765,314,431 is 1

LCM of denominators i.e. for 34,26,77 is 34034.

Thus, GCF of Fractions is 1/34034.Finally, GCF of Fractions for 765/34, 314/26, 431/77 is 1/34034.