Greatest Common Factor of 14/82, 84/507, 910/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/82, 84/507, 910/164

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 14/82,84/507,910/164

Given fractions are 14/82,84/507,910/164

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 14,84,910

Greatest Common Factor of Numerators i.e. GCF of 14,84,910 is 14 .

LCM of Denominators means LCM of 82,507,164 as per the given fractions.

LCM of 82,507,164 is 83148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,84,910

GCF of Fractions 14/82,84/507,910/164 is 14/83148

2 14, 84, 910
7 7, 42, 455
1, 6, 65

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 14,84,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,84,910 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 14,84,910 . The biggest common factor number is the GCF number.
So the greatest common factor 14,84,910 is 14.

Lets's calculate LCM of 82,507,164

2 82, 507, 164
41 41, 507, 82
1, 507, 2

∴ So the LCM of the given numbers is 2 x 41 x 1 x 507 x 2 = 83148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/83148

Therefore, the GCF of Fractions 14/82,84/507,910/164 is 14/83148

Least Common Multiple of 82,507,164 with GCF Formula

Least Common Multiple of 82,507,164 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 82,507,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,507,164) = 1

common factors(in case of two or more numbers have common factors) = 82

GCF(82,507,164) x common factors =1 x 82 = 82

LCM(82,507,164) = ( 82 × 507 × 164 ) / 82

LCM(82,507,164) = 6818136 / 82

LCM(82,507,164) = 83148


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 14/82, 84/507, 910/164

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 14/82, 84/507, 910/164?

Answer: GCF of Numerators as per given numbers 14/82, 84/507, 910/164 is

GCF of Numerators i.e. for 14,84,910 is 14

LCM of denominators i.e. for 82,507,164 is 83148.

Thus, GCF of Fractions is 14/83148.Finally, GCF of Fractions for 14/82, 84/507, 910/164 is 14/83148.