Greatest Common Factor of 461/245, 746/241, 700/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 461/245, 746/241, 700/833

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 461/245,746/241,700/833

Given fractions are 461/245,746/241,700/833

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 461,746,700

Greatest Common Factor of Numerators i.e. GCF of 461,746,700 is 1 .

LCM of Denominators means LCM of 245,241,833 as per the given fractions.

LCM of 245,241,833 is 1003765 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 461,746,700

GCF of Fractions 461/245,746/241,700/833 is 1/1003765

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

Greatest Common Factor of 461,746,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,746,700 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 461,746,700 . The biggest common factor number is the GCF number.
So the greatest common factor 461,746,700 is 1.

Lets's calculate LCM of 245,241,833

7 245, 241, 833
7 35, 241, 119
5, 241, 17

∴ So the LCM of the given numbers is 7 x 7 x 5 x 241 x 17 = 1003765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1003765

Therefore, the GCF of Fractions 461/245,746/241,700/833 is 1/1003765

Least Common Multiple of 245,241,833 with GCF Formula

Least Common Multiple of 245,241,833 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 245,241,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,241,833) = 1

common factors(in case of two or more numbers have common factors) = 49

GCF(245,241,833) x common factors =1 x 49 = 49

LCM(245,241,833) = ( 245 × 241 × 833 ) / 49

LCM(245,241,833) = 49184485 / 49

LCM(245,241,833) = 1003765


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 461/245, 746/241, 700/833

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 461/245, 746/241, 700/833?

Answer: GCF of Numerators as per given numbers 461/245, 746/241, 700/833 is

GCF of Numerators i.e. for 461,746,700 is 1

LCM of denominators i.e. for 245,241,833 is 1003765.

Thus, GCF of Fractions is 1/1003765.Finally, GCF of Fractions for 461/245, 746/241, 700/833 is 1/1003765.