Greatest Common Factor of 707/467, 2898/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 707/467, 2898/101

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 707/467,2898/101

Given fractions are 707/467,2898/101

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 707,2898

Greatest Common Factor of Numerators i.e. GCF of 707,2898 is 7 .

LCM of Denominators means LCM of 467,101 as per the given fractions.

LCM of 467,101 is 47167 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 707,2898

GCF of Fractions 707/467,2898/101 is 7/47167

7 707, 2898
101, 414

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 707,2898 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,2898 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 2898

List of positive integer factors of 2898 that divides 2898 without a remainder.

1,2,3,6,7,9,14,18,21,23,42,46,63,69,126,138,161,207,322,414,483,966,1449,2898

Greatest Common Factor

We found the factors 707,2898 . The biggest common factor number is the GCF number.
So the greatest common factor 707,2898 is 7.

Lets's calculate LCM of 467,101

Given numbers has no common factors except 1. So, there LCM is their product i.e 47167

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/47167

Therefore, the GCF of Fractions 707/467,2898/101 is 7/47167

Least Common Multiple of 467,101 with GCF Formula

Least Common Multiple of 467,101 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 467,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,101) = 1

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

GCF(467,101) x common factors =1 x 1 = 1

LCM(467,101) = ( 467 × 101 ) / 1

LCM(467,101) = 47167 / 1

LCM(467,101) = 47167


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 707/467, 2898/101

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 707/467, 2898/101?

Answer: GCF of Numerators as per given numbers 707/467, 2898/101 is

GCF of Numerators i.e. for 707,2898 is 7

LCM of denominators i.e. for 467,101 is 47167.

Thus, GCF of Fractions is 7/47167.Finally, GCF of Fractions for 707/467, 2898/101 is 7/47167.