Greatest Common Factor of 35/646, 94/588, 505/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/646, 94/588, 505/966

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 35/646,94/588,505/966

Given fractions are 35/646,94/588,505/966

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 35,94,505

Greatest Common Factor of Numerators i.e. GCF of 35,94,505 is 1 .

LCM of Denominators means LCM of 646,588,966 as per the given fractions.

LCM of 646,588,966 is 4368252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,94,505

GCF of Fractions 35/646,94/588,505/966 is 1/4368252

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

Greatest Common Factor of 35,94,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,94,505 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 35,94,505 . The biggest common factor number is the GCF number.
So the greatest common factor 35,94,505 is 1.

Lets's calculate LCM of 646,588,966

2 646, 588, 966
3 323, 294, 483
7 323, 98, 161
323, 14, 23

∴ So the LCM of the given numbers is 2 x 3 x 7 x 323 x 14 x 23 = 4368252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4368252

Therefore, the GCF of Fractions 35/646,94/588,505/966 is 1/4368252

Least Common Multiple of 646,588,966 with GCF Formula

Least Common Multiple of 646,588,966 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 646,588,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,588,966) = 2

common factors(in case of two or more numbers have common factors) = 42

GCF(646,588,966) x common factors =2 x 42 = 84

LCM(646,588,966) = ( 646 × 588 × 966 ) / 84

LCM(646,588,966) = 366933168 / 84

LCM(646,588,966) = 4368252


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 35/646, 94/588, 505/966

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 35/646, 94/588, 505/966?

Answer: GCF of Numerators as per given numbers 35/646, 94/588, 505/966 is

GCF of Numerators i.e. for 35,94,505 is 1

LCM of denominators i.e. for 646,588,966 is 4368252.

Thus, GCF of Fractions is 1/4368252.Finally, GCF of Fractions for 35/646, 94/588, 505/966 is 1/4368252.