Greatest Common Factor of 398/84, 759/31, 601/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 398/84, 759/31, 601/463

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 398/84,759/31,601/463

Given fractions are 398/84,759/31,601/463

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 398,759,601

Greatest Common Factor of Numerators i.e. GCF of 398,759,601 is 1 .

LCM of Denominators means LCM of 84,31,463 as per the given fractions.

LCM of 84,31,463 is 1205652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 398,759,601

GCF of Fractions 398/84,759/31,601/463 is 1/1205652

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

Greatest Common Factor of 398,759,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,759,601 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Greatest Common Factor

We found the factors 398,759,601 . The biggest common factor number is the GCF number.
So the greatest common factor 398,759,601 is 1.

Lets's calculate LCM of 84,31,463

Given numbers has no common factors except 1. So, there LCM is their product i.e 1205652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1205652

Therefore, the GCF of Fractions 398/84,759/31,601/463 is 1/1205652

Least Common Multiple of 84,31,463 with GCF Formula

Least Common Multiple of 84,31,463 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 84,31,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,31,463) = 1

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

GCF(84,31,463) x common factors =1 x 1 = 1

LCM(84,31,463) = ( 84 × 31 × 463 ) / 1

LCM(84,31,463) = 1205652 / 1

LCM(84,31,463) = 1205652


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 398/84, 759/31, 601/463

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 398/84, 759/31, 601/463?

Answer: GCF of Numerators as per given numbers 398/84, 759/31, 601/463 is

GCF of Numerators i.e. for 398,759,601 is 1

LCM of denominators i.e. for 84,31,463 is 1205652.

Thus, GCF of Fractions is 1/1205652.Finally, GCF of Fractions for 398/84, 759/31, 601/463 is 1/1205652.