Greatest Common Factor of 906/35, 251/93, 247/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 906/35, 251/93, 247/882

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 906/35,251/93,247/882

Given fractions are 906/35,251/93,247/882

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 906,251,247

Greatest Common Factor of Numerators i.e. GCF of 906,251,247 is 1 .

LCM of Denominators means LCM of 35,93,882 as per the given fractions.

LCM of 35,93,882 is 136710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 906,251,247

GCF of Fractions 906/35,251/93,247/882 is 1/136710

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

Greatest Common Factor of 906,251,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,251,247 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 906,251,247 . The biggest common factor number is the GCF number.
So the greatest common factor 906,251,247 is 1.


Lets's calculate LCM of 35,93,882

3 35, 93, 882
7 35, 31, 294
5, 31, 42

∴ So the LCM of the given numbers is 3 x 7 x 5 x 31 x 42 = 136710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136710

Therefore, the GCF of Fractions 906/35,251/93,247/882 is 1/136710

Least Common Multiple of 35,93,882 with GCF Formula

Least Common Multiple of 35,93,882 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 35,93,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,93,882) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(35,93,882) x common factors =1 x 21 = 21

LCM(35,93,882) = ( 35 × 93 × 882 ) / 21

LCM(35,93,882) = 2870910 / 21

LCM(35,93,882) = 136710


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 906/35, 251/93, 247/882

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 906/35, 251/93, 247/882?

Answer: GCF of Numerators as per given numbers 906/35, 251/93, 247/882 is

GCF of Numerators i.e. for 906,251,247 is 1

LCM of denominators i.e. for 35,93,882 is 136710.

Thus, GCF of Fractions is 1/136710.Finally, GCF of Fractions for 906/35, 251/93, 247/882 is 1/136710.