Greatest Common Factor of 7663/554, 1738/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7663/554, 1738/311

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 7663/554,1738/311

Given fractions are 7663/554,1738/311

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 7663,1738

Greatest Common Factor of Numerators i.e. GCF of 7663,1738 is 79 .

LCM of Denominators means LCM of 554,311 as per the given fractions.

LCM of 554,311 is 172294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7663,1738

GCF of Fractions 7663/554,1738/311 is 79/172294

79 7663, 1738
97, 22

∴ So the GCF of the given numbers is 79 = 79

Greatest Common Factor of 7663,1738 By Matching Biggest Common Factor Method

Greatest Common Factor of 7663,1738 By Matching Biggest Common Factor Method

Factors of 7663

List of positive integer factors of 7663 that divides 7663 without a remainder.

1,79,97,7663

Factors of 1738

List of positive integer factors of 1738 that divides 1738 without a remainder.

1,2,11,22,79,158,869,1738

Greatest Common Factor

We found the factors 7663,1738 . The biggest common factor number is the GCF number.
So the greatest common factor 7663,1738 is 79.

Lets's calculate LCM of 554,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 172294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 79/172294

Therefore, the GCF of Fractions 7663/554,1738/311 is 79/172294

Least Common Multiple of 554,311 with GCF Formula

Least Common Multiple of 554,311 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 554,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,311) = 1

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

GCF(554,311) x common factors =1 x 1 = 1

LCM(554,311) = ( 554 × 311 ) / 1

LCM(554,311) = 172294 / 1

LCM(554,311) = 172294


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 7663/554, 1738/311

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 7663/554, 1738/311?

Answer: GCF of Numerators as per given numbers 7663/554, 1738/311 is

GCF of Numerators i.e. for 7663,1738 is 79

LCM of denominators i.e. for 554,311 is 172294.

Thus, GCF of Fractions is 79/172294.Finally, GCF of Fractions for 7663/554, 1738/311 is 79/172294.