Greatest Common Factor of 76/63, 194/46, 109/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 76/63, 194/46, 109/668

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 76/63,194/46,109/668

Given fractions are 76/63,194/46,109/668

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 76,194,109

Greatest Common Factor of Numerators i.e. GCF of 76,194,109 is 1 .

LCM of Denominators means LCM of 63,46,668 as per the given fractions.

LCM of 63,46,668 is 967932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 76,194,109

GCF of Fractions 76/63,194/46,109/668 is 1/967932

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

Greatest Common Factor of 76,194,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,194,109 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 76,194,109 . The biggest common factor number is the GCF number.
So the greatest common factor 76,194,109 is 1.

Lets's calculate LCM of 63,46,668

2 63, 46, 668
63, 23, 334

∴ So the LCM of the given numbers is 2 x 63 x 23 x 334 = 967932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/967932

Therefore, the GCF of Fractions 76/63,194/46,109/668 is 1/967932

Least Common Multiple of 63,46,668 with GCF Formula

Least Common Multiple of 63,46,668 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 63,46,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,46,668) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(63,46,668) x common factors =1 x 2 = 2

LCM(63,46,668) = ( 63 × 46 × 668 ) / 2

LCM(63,46,668) = 1935864 / 2

LCM(63,46,668) = 967932


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 76/63, 194/46, 109/668

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 76/63, 194/46, 109/668?

Answer: GCF of Numerators as per given numbers 76/63, 194/46, 109/668 is

GCF of Numerators i.e. for 76,194,109 is 1

LCM of denominators i.e. for 63,46,668 is 967932.

Thus, GCF of Fractions is 1/967932.Finally, GCF of Fractions for 76/63, 194/46, 109/668 is 1/967932.