Greatest Common Factor of 1472/78, 2705/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1472/78, 2705/162

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 1472/78,2705/162

Given fractions are 1472/78,2705/162

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 1472,2705

Greatest Common Factor of Numerators i.e. GCF of 1472,2705 is 1 .

LCM of Denominators means LCM of 78,162 as per the given fractions.

LCM of 78,162 is 2106 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1472,2705

GCF of Fractions 1472/78,2705/162 is 1/2106

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

Greatest Common Factor of 1472,2705 By Matching Biggest Common Factor Method

Greatest Common Factor of 1472,2705 By Matching Biggest Common Factor Method

Factors of 1472

List of positive integer factors of 1472 that divides 1472 without a remainder.

1,2,4,8,16,23,32,46,64,92,184,368,736,1472

Factors of 2705

List of positive integer factors of 2705 that divides 2705 without a remainder.

1,5,541,2705

Greatest Common Factor

We found the factors 1472,2705 . The biggest common factor number is the GCF number.
So the greatest common factor 1472,2705 is 1.

Lets's calculate LCM of 78,162

2 78, 162
3 39, 81
13, 27

∴ So the LCM of the given numbers is 2 x 3 x 13 x 27 = 2106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2106

Therefore, the GCF of Fractions 1472/78,2705/162 is 1/2106

Least Common Multiple of 78,162 with GCF Formula

Least Common Multiple of 78,162 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 78,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,162) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(78,162) x common factors =6 x 1 = 6

LCM(78,162) = ( 78 × 162 ) / 6

LCM(78,162) = 12636 / 6

LCM(78,162) = 2106


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 1472/78, 2705/162

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 1472/78, 2705/162?

Answer: GCF of Numerators as per given numbers 1472/78, 2705/162 is

GCF of Numerators i.e. for 1472,2705 is 1

LCM of denominators i.e. for 78,162 is 2106.

Thus, GCF of Fractions is 1/2106.Finally, GCF of Fractions for 1472/78, 2705/162 is 1/2106.