Greatest Common Factor of 924/30, 349/64, 635/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 924/30, 349/64, 635/388

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 924/30,349/64,635/388

Given fractions are 924/30,349/64,635/388

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 924,349,635

Greatest Common Factor of Numerators i.e. GCF of 924,349,635 is 1 .

LCM of Denominators means LCM of 30,64,388 as per the given fractions.

LCM of 30,64,388 is 93120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 924,349,635

GCF of Fractions 924/30,349/64,635/388 is 1/93120

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

Greatest Common Factor of 924,349,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,349,635 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 635

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

1,5,127,635

Greatest Common Factor

We found the factors 924,349,635 . The biggest common factor number is the GCF number.
So the greatest common factor 924,349,635 is 1.

Lets's calculate LCM of 30,64,388

2 30, 64, 388
2 15, 32, 194
15, 16, 97

∴ So the LCM of the given numbers is 2 x 2 x 15 x 16 x 97 = 93120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93120

Therefore, the GCF of Fractions 924/30,349/64,635/388 is 1/93120

Least Common Multiple of 30,64,388 with GCF Formula

Least Common Multiple of 30,64,388 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 30,64,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,64,388) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(30,64,388) x common factors =2 x 4 = 8

LCM(30,64,388) = ( 30 × 64 × 388 ) / 8

LCM(30,64,388) = 744960 / 8

LCM(30,64,388) = 93120


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 924/30, 349/64, 635/388

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 924/30, 349/64, 635/388?

Answer: GCF of Numerators as per given numbers 924/30, 349/64, 635/388 is

GCF of Numerators i.e. for 924,349,635 is 1

LCM of denominators i.e. for 30,64,388 is 93120.

Thus, GCF of Fractions is 1/93120.Finally, GCF of Fractions for 924/30, 349/64, 635/388 is 1/93120.