Greatest Common Factor of 748/627, 1462/9162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 748/627, 1462/9162

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 748/627,1462/9162

Given fractions are 748/627,1462/9162

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 748,1462

Greatest Common Factor of Numerators i.e. GCF of 748,1462 is 34 .

LCM of Denominators means LCM of 627,9162 as per the given fractions.

LCM of 627,9162 is 1914858 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 748,1462

GCF of Fractions 748/627,1462/9162 is 34/1914858

2 748, 1462
17 374, 731
22, 43

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 748,1462 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,1462 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 1462

List of positive integer factors of 1462 that divides 1462 without a remainder.

1,2,17,34,43,86,731,1462

Greatest Common Factor

We found the factors 748,1462 . The biggest common factor number is the GCF number.
So the greatest common factor 748,1462 is 34.

Lets's calculate LCM of 627,9162

3 627, 9162
209, 3054

∴ So the LCM of the given numbers is 3 x 209 x 3054 = 1914858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/1914858

Therefore, the GCF of Fractions 748/627,1462/9162 is 34/1914858

Least Common Multiple of 627,9162 with GCF Formula

Least Common Multiple of 627,9162 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 627,9162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,9162) = 3

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

GCF(627,9162) x common factors =3 x 1 = 3

LCM(627,9162) = ( 627 × 9162 ) / 3

LCM(627,9162) = 5744574 / 3

LCM(627,9162) = 1914858


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 748/627, 1462/9162

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 748/627, 1462/9162?

Answer: GCF of Numerators as per given numbers 748/627, 1462/9162 is

GCF of Numerators i.e. for 748,1462 is 34

LCM of denominators i.e. for 627,9162 is 1914858.

Thus, GCF of Fractions is 34/1914858.Finally, GCF of Fractions for 748/627, 1462/9162 is 34/1914858.