Greatest Common Factor of 748/565, 442/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 748/565, 442/522

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 748/565,442/522

Given fractions are 748/565,442/522

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 748,442

Greatest Common Factor of Numerators i.e. GCF of 748,442 is 34 .

LCM of Denominators means LCM of 565,522 as per the given fractions.

LCM of 565,522 is 294930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 748,442

GCF of Fractions 748/565,442/522 is 34/294930

2 748, 442
17 374, 221
22, 13

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

Greatest Common Factor of 748,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,442 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 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 748,442 . The biggest common factor number is the GCF number.
So the greatest common factor 748,442 is 34.

Lets's calculate LCM of 565,522

Given numbers has no common factors except 1. So, there LCM is their product i.e 294930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/294930

Therefore, the GCF of Fractions 748/565,442/522 is 34/294930

Least Common Multiple of 565,522 with GCF Formula

Least Common Multiple of 565,522 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 565,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,522) = 1

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

GCF(565,522) x common factors =1 x 1 = 1

LCM(565,522) = ( 565 × 522 ) / 1

LCM(565,522) = 294930 / 1

LCM(565,522) = 294930


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 748/565, 442/522

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 748/565, 442/522?

Answer: GCF of Numerators as per given numbers 748/565, 442/522 is

GCF of Numerators i.e. for 748,442 is 34

LCM of denominators i.e. for 565,522 is 294930.

Thus, GCF of Fractions is 34/294930.Finally, GCF of Fractions for 748/565, 442/522 is 34/294930.