Greatest Common Factor of 924/21, 785/15, 814/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 924/21, 785/15, 814/148

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 924/21,785/15,814/148

Given fractions are 924/21,785/15,814/148

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 924,785,814

Greatest Common Factor of Numerators i.e. GCF of 924,785,814 is 1 .

LCM of Denominators means LCM of 21,15,148 as per the given fractions.

LCM of 21,15,148 is 15540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 924,785,814

GCF of Fractions 924/21,785/15,814/148 is 1/15540

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

Greatest Common Factor of 924,785,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,785,814 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 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 924,785,814 . The biggest common factor number is the GCF number.
So the greatest common factor 924,785,814 is 1.

Lets's calculate LCM of 21,15,148

3 21, 15, 148
7, 5, 148

∴ So the LCM of the given numbers is 3 x 7 x 5 x 148 = 15540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15540

Therefore, the GCF of Fractions 924/21,785/15,814/148 is 1/15540

Least Common Multiple of 21,15,148 with GCF Formula

Least Common Multiple of 21,15,148 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 21,15,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,15,148) = 1

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

GCF(21,15,148) x common factors =1 x 3 = 3

LCM(21,15,148) = ( 21 × 15 × 148 ) / 3

LCM(21,15,148) = 46620 / 3

LCM(21,15,148) = 15540


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 924/21, 785/15, 814/148

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 924/21, 785/15, 814/148?

Answer: GCF of Numerators as per given numbers 924/21, 785/15, 814/148 is

GCF of Numerators i.e. for 924,785,814 is 1

LCM of denominators i.e. for 21,15,148 is 15540.

Thus, GCF of Fractions is 1/15540.Finally, GCF of Fractions for 924/21, 785/15, 814/148 is 1/15540.