Greatest Common Factor of 616/14, 194/97, 765/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 616/14, 194/97, 765/109

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 616/14,194/97,765/109

Given fractions are 616/14,194/97,765/109

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 616,194,765

Greatest Common Factor of Numerators i.e. GCF of 616,194,765 is 1 .

LCM of Denominators means LCM of 14,97,109 as per the given fractions.

LCM of 14,97,109 is 148022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 616,194,765

GCF of Fractions 616/14,194/97,765/109 is 1/148022

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

Greatest Common Factor of 616,194,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,194,765 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 194

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

1,2,97,194

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 616,194,765 . The biggest common factor number is the GCF number.
So the greatest common factor 616,194,765 is 1.

Lets's calculate LCM of 14,97,109

Given numbers has no common factors except 1. So, there LCM is their product i.e 148022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148022

Therefore, the GCF of Fractions 616/14,194/97,765/109 is 1/148022

Least Common Multiple of 14,97,109 with GCF Formula

Least Common Multiple of 14,97,109 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 14,97,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,97,109) = 1

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

GCF(14,97,109) x common factors =1 x 1 = 1

LCM(14,97,109) = ( 14 × 97 × 109 ) / 1

LCM(14,97,109) = 148022 / 1

LCM(14,97,109) = 148022


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 616/14, 194/97, 765/109

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 616/14, 194/97, 765/109?

Answer: GCF of Numerators as per given numbers 616/14, 194/97, 765/109 is

GCF of Numerators i.e. for 616,194,765 is 1

LCM of denominators i.e. for 14,97,109 is 148022.

Thus, GCF of Fractions is 1/148022.Finally, GCF of Fractions for 616/14, 194/97, 765/109 is 1/148022.