Greatest Common Factor of 314/14, 692/72, 861/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 314/14, 692/72, 861/168

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 314/14,692/72,861/168

Given fractions are 314/14,692/72,861/168

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 314,692,861

Greatest Common Factor of Numerators i.e. GCF of 314,692,861 is 1 .

LCM of Denominators means LCM of 14,72,168 as per the given fractions.

LCM of 14,72,168 is 504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 314,692,861

GCF of Fractions 314/14,692/72,861/168 is 1/504

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

Greatest Common Factor of 314,692,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,692,861 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 314,692,861 . The biggest common factor number is the GCF number.
So the greatest common factor 314,692,861 is 1.

Lets's calculate LCM of 14,72,168

2 14, 72, 168
2 7, 36, 84
2 7, 18, 42
3 7, 9, 21
7 7, 3, 7
1, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 1 x 3 x 1 = 504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/504

Therefore, the GCF of Fractions 314/14,692/72,861/168 is 1/504

Least Common Multiple of 14,72,168 with GCF Formula

Least Common Multiple of 14,72,168 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 14,72,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,72,168) = 2

common factors(in case of two or more numbers have common factors) = 168

GCF(14,72,168) x common factors =2 x 168 = 336

LCM(14,72,168) = ( 14 × 72 × 168 ) / 336

LCM(14,72,168) = 169344 / 336

LCM(14,72,168) = 504


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 314/14, 692/72, 861/168

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 314/14, 692/72, 861/168?

Answer: GCF of Numerators as per given numbers 314/14, 692/72, 861/168 is

GCF of Numerators i.e. for 314,692,861 is 1

LCM of denominators i.e. for 14,72,168 is 504.

Thus, GCF of Fractions is 1/504.Finally, GCF of Fractions for 314/14, 692/72, 861/168 is 1/504.