Greatest Common Factor of 415/63, 627/34, 929/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 415/63, 627/34, 929/708

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 415/63,627/34,929/708

Given fractions are 415/63,627/34,929/708

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 415,627,929

Greatest Common Factor of Numerators i.e. GCF of 415,627,929 is 1 .

LCM of Denominators means LCM of 63,34,708 as per the given fractions.

LCM of 63,34,708 is 252756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 415,627,929

GCF of Fractions 415/63,627/34,929/708 is 1/252756

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

Greatest Common Factor of 415,627,929 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,627,929 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Greatest Common Factor

We found the factors 415,627,929 . The biggest common factor number is the GCF number.
So the greatest common factor 415,627,929 is 1.

Lets's calculate LCM of 63,34,708

2 63, 34, 708
3 63, 17, 354
21, 17, 118

∴ So the LCM of the given numbers is 2 x 3 x 21 x 17 x 118 = 252756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252756

Therefore, the GCF of Fractions 415/63,627/34,929/708 is 1/252756

Least Common Multiple of 63,34,708 with GCF Formula

Least Common Multiple of 63,34,708 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 63,34,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,34,708) = 1

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

GCF(63,34,708) x common factors =1 x 6 = 6

LCM(63,34,708) = ( 63 × 34 × 708 ) / 6

LCM(63,34,708) = 1516536 / 6

LCM(63,34,708) = 252756


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 415/63, 627/34, 929/708

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 415/63, 627/34, 929/708?

Answer: GCF of Numerators as per given numbers 415/63, 627/34, 929/708 is

GCF of Numerators i.e. for 415,627,929 is 1

LCM of denominators i.e. for 63,34,708 is 252756.

Thus, GCF of Fractions is 1/252756.Finally, GCF of Fractions for 415/63, 627/34, 929/708 is 1/252756.