Greatest Common Factor of 748/948, 1697/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 748/948, 1697/219

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 748/948,1697/219

Given fractions are 748/948,1697/219

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 748,1697

Greatest Common Factor of Numerators i.e. GCF of 748,1697 is 1 .

LCM of Denominators means LCM of 948,219 as per the given fractions.

LCM of 948,219 is 69204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 748,1697

GCF of Fractions 748/948,1697/219 is 1/69204

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

Greatest Common Factor of 748,1697 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,1697 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 1697

List of positive integer factors of 1697 that divides 1697 without a remainder.

1,1697

Greatest Common Factor

We found the factors 748,1697 . The biggest common factor number is the GCF number.
So the greatest common factor 748,1697 is 1.

Lets's calculate LCM of 948,219

3 948, 219
316, 73

∴ So the LCM of the given numbers is 3 x 316 x 73 = 69204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69204

Therefore, the GCF of Fractions 748/948,1697/219 is 1/69204

Least Common Multiple of 948,219 with GCF Formula

Least Common Multiple of 948,219 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 948,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,219) = 3

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

GCF(948,219) x common factors =3 x 1 = 3

LCM(948,219) = ( 948 × 219 ) / 3

LCM(948,219) = 207612 / 3

LCM(948,219) = 69204


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 748/948, 1697/219

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 748/948, 1697/219?

Answer: GCF of Numerators as per given numbers 748/948, 1697/219 is

GCF of Numerators i.e. for 748,1697 is 1

LCM of denominators i.e. for 948,219 is 69204.

Thus, GCF of Fractions is 1/69204.Finally, GCF of Fractions for 748/948, 1697/219 is 1/69204.