Greatest Common Factor of 463/13, 129/42, 882/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 463/13, 129/42, 882/997

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 463/13,129/42,882/997

Given fractions are 463/13,129/42,882/997

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 463,129,882

Greatest Common Factor of Numerators i.e. GCF of 463,129,882 is 1 .

LCM of Denominators means LCM of 13,42,997 as per the given fractions.

LCM of 13,42,997 is 544362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 463,129,882

GCF of Fractions 463/13,129/42,882/997 is 1/544362

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

Greatest Common Factor of 463,129,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,129,882 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 463,129,882 . The biggest common factor number is the GCF number.
So the greatest common factor 463,129,882 is 1.

Lets's calculate LCM of 13,42,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 544362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/544362

Therefore, the GCF of Fractions 463/13,129/42,882/997 is 1/544362

Least Common Multiple of 13,42,997 with GCF Formula

Least Common Multiple of 13,42,997 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 13,42,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,42,997) = 1

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

GCF(13,42,997) x common factors =1 x 1 = 1

LCM(13,42,997) = ( 13 × 42 × 997 ) / 1

LCM(13,42,997) = 544362 / 1

LCM(13,42,997) = 544362


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 463/13, 129/42, 882/997

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 463/13, 129/42, 882/997?

Answer: GCF of Numerators as per given numbers 463/13, 129/42, 882/997 is

GCF of Numerators i.e. for 463,129,882 is 1

LCM of denominators i.e. for 13,42,997 is 544362.

Thus, GCF of Fractions is 1/544362.Finally, GCF of Fractions for 463/13, 129/42, 882/997 is 1/544362.