Greatest Common Factor of 61/695, 788/917, 441/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/695, 788/917, 441/689

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 61/695,788/917,441/689

Given fractions are 61/695,788/917,441/689

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 61,788,441

Greatest Common Factor of Numerators i.e. GCF of 61,788,441 is 1 .

LCM of Denominators means LCM of 695,917,689 as per the given fractions.

LCM of 695,917,689 is 439110035 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,788,441

GCF of Fractions 61/695,788/917,441/689 is 1/439110035

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

Greatest Common Factor of 61,788,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,788,441 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 61,788,441 . The biggest common factor number is the GCF number.
So the greatest common factor 61,788,441 is 1.

Lets's calculate LCM of 695,917,689

Given numbers has no common factors except 1. So, there LCM is their product i.e 439110035

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439110035

Therefore, the GCF of Fractions 61/695,788/917,441/689 is 1/439110035

Least Common Multiple of 695,917,689 with GCF Formula

Least Common Multiple of 695,917,689 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 695,917,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,917,689) = 1

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

GCF(695,917,689) x common factors =1 x 1 = 1

LCM(695,917,689) = ( 695 × 917 × 689 ) / 1

LCM(695,917,689) = 439110035 / 1

LCM(695,917,689) = 439110035


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 61/695, 788/917, 441/689

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 61/695, 788/917, 441/689?

Answer: GCF of Numerators as per given numbers 61/695, 788/917, 441/689 is

GCF of Numerators i.e. for 61,788,441 is 1

LCM of denominators i.e. for 695,917,689 is 439110035.

Thus, GCF of Fractions is 1/439110035.Finally, GCF of Fractions for 61/695, 788/917, 441/689 is 1/439110035.