Greatest Common Factor of 767/75, 145/74, 882/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 767/75, 145/74, 882/516

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 767/75,145/74,882/516

Given fractions are 767/75,145/74,882/516

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 767,145,882

Greatest Common Factor of Numerators i.e. GCF of 767,145,882 is 1 .

LCM of Denominators means LCM of 75,74,516 as per the given fractions.

LCM of 75,74,516 is 477300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 767,145,882

GCF of Fractions 767/75,145/74,882/516 is 1/477300

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

Greatest Common Factor of 767,145,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,145,882 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 767,145,882 . The biggest common factor number is the GCF number.
So the greatest common factor 767,145,882 is 1.

Lets's calculate LCM of 75,74,516

2 75, 74, 516
3 75, 37, 258
25, 37, 86

∴ So the LCM of the given numbers is 2 x 3 x 25 x 37 x 86 = 477300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477300

Therefore, the GCF of Fractions 767/75,145/74,882/516 is 1/477300

Least Common Multiple of 75,74,516 with GCF Formula

Least Common Multiple of 75,74,516 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 75,74,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,74,516) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(75,74,516) x common factors =1 x 6 = 6

LCM(75,74,516) = ( 75 × 74 × 516 ) / 6

LCM(75,74,516) = 2863800 / 6

LCM(75,74,516) = 477300


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 767/75, 145/74, 882/516

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 767/75, 145/74, 882/516?

Answer: GCF of Numerators as per given numbers 767/75, 145/74, 882/516 is

GCF of Numerators i.e. for 767,145,882 is 1

LCM of denominators i.e. for 75,74,516 is 477300.

Thus, GCF of Fractions is 1/477300.Finally, GCF of Fractions for 767/75, 145/74, 882/516 is 1/477300.