Greatest Common Factor of 770/29, 837/92, 563/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 770/29, 837/92, 563/78

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 770/29,837/92,563/78

Given fractions are 770/29,837/92,563/78

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 770,837,563

Greatest Common Factor of Numerators i.e. GCF of 770,837,563 is 1 .

LCM of Denominators means LCM of 29,92,78 as per the given fractions.

LCM of 29,92,78 is 104052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 770,837,563

GCF of Fractions 770/29,837/92,563/78 is 1/104052

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

Greatest Common Factor of 770,837,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,837,563 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 770,837,563 . The biggest common factor number is the GCF number.
So the greatest common factor 770,837,563 is 1.

Lets's calculate LCM of 29,92,78

2 29, 92, 78
29, 46, 39

∴ So the LCM of the given numbers is 2 x 29 x 46 x 39 = 104052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104052

Therefore, the GCF of Fractions 770/29,837/92,563/78 is 1/104052

Least Common Multiple of 29,92,78 with GCF Formula

Least Common Multiple of 29,92,78 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 29,92,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,92,78) = 1

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

GCF(29,92,78) x common factors =1 x 2 = 2

LCM(29,92,78) = ( 29 × 92 × 78 ) / 2

LCM(29,92,78) = 208104 / 2

LCM(29,92,78) = 104052


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 770/29, 837/92, 563/78

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 770/29, 837/92, 563/78?

Answer: GCF of Numerators as per given numbers 770/29, 837/92, 563/78 is

GCF of Numerators i.e. for 770,837,563 is 1

LCM of denominators i.e. for 29,92,78 is 104052.

Thus, GCF of Fractions is 1/104052.Finally, GCF of Fractions for 770/29, 837/92, 563/78 is 1/104052.