Greatest Common Factor of 83/349, 635/393, 855/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/349, 635/393, 855/528

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 83/349,635/393,855/528

Given fractions are 83/349,635/393,855/528

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 83,635,855

Greatest Common Factor of Numerators i.e. GCF of 83,635,855 is 1 .

LCM of Denominators means LCM of 349,393,528 as per the given fractions.

LCM of 349,393,528 is 24139632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,635,855

GCF of Fractions 83/349,635/393,855/528 is 1/24139632

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

Greatest Common Factor of 83,635,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,635,855 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 83,635,855 . The biggest common factor number is the GCF number.
So the greatest common factor 83,635,855 is 1.

Lets's calculate LCM of 349,393,528

3 349, 393, 528
349, 131, 176

∴ So the LCM of the given numbers is 3 x 349 x 131 x 176 = 24139632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24139632

Therefore, the GCF of Fractions 83/349,635/393,855/528 is 1/24139632

Least Common Multiple of 349,393,528 with GCF Formula

Least Common Multiple of 349,393,528 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 349,393,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,393,528) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(349,393,528) x common factors =1 x 3 = 3

LCM(349,393,528) = ( 349 × 393 × 528 ) / 3

LCM(349,393,528) = 72418896 / 3

LCM(349,393,528) = 24139632


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 83/349, 635/393, 855/528

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 83/349, 635/393, 855/528?

Answer: GCF of Numerators as per given numbers 83/349, 635/393, 855/528 is

GCF of Numerators i.e. for 83,635,855 is 1

LCM of denominators i.e. for 349,393,528 is 24139632.

Thus, GCF of Fractions is 1/24139632.Finally, GCF of Fractions for 83/349, 635/393, 855/528 is 1/24139632.