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GCF of 1901/172, 6334/5942

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1901/172, 6334/5942 i.e 1/511012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1901/172, 6334/5942.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1901/172,6334/5942?

Given fractions are 1901/172,6334/5942

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1901/172,6334/5942, numerators are 1901,6334

Denominators are 172,5942

The GCF of 1901,6334 is 1 .

LCM of 172,5942 is 511012.

The greatest common factor of 1901/172,6334/5942 = [GCF of 1901,6334]/[LCM of 172,5942]= 1/511012

Therefore, the GCF of 1901/172,6334/5942 is 1/511012.

Greatest Common Factor of 1901,6334

To find the highest common factor of 1901,6334, we have to find the factors of both numbers and list the highest common factor.

The factors of 1901 are 1, 1901

The factors of 6334 are 1, 2, 3167, 6334

The HCF of 1901,6334 is 1.

Lets's calculate GCF of 1901,6334

Greatest Common Factor (GCF) of 1901,6334 By Common Division

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

Greatest Common Factor of 1901,6334 By Matching Biggest Common Factor Method

Greatest Common Factor of 1901,6334 By Matching Biggest Common Factor Method

Now, list down the factors of 1901

:

1,1901

Now, list down the factors of 6334

:

1,2,3167,6334

Greatest Common Factor

We found the factors 1901,6334 . The biggest common factor number is the GCF number.
So the greatest common factor 1901,6334 is 1.

Lets's calculate LCM of 172,5942

Lowest Common Multiple of 172,5942 using Common Division

2 172, 5942
86, 2971

∴ So the LCM of the given numbers is 2 x 86 x 2971 = 511012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/511012

Therefore, the GCF of Fractions 1901/172,6334/5942 is 1/511012

Least Common Multiple of 172,5942 with GCF Formula

Least Common Multiple of 172,5942 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 172,5942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,5942) = 2

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

GCF(172,5942) x common factors =2 x 1 = 2

LCM(172,5942) = ( 172 × 5942 ) / 2

LCM(172,5942) = 1022024 / 2

LCM(172,5942) = 511012


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FAQs on GCF of Fractions of 1901/172, 6334/5942

1. What is the HCF of 1901,6334?

The HCF of 1901,6334 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 1901/172, 6334/5942?

Answer: GCF of Numerators as per given numbers 1901/172, 6334/5942 is

GCF of Numerators i.e. for 1901,6334 is 1

LCM of denominators i.e. for 172,5942 is 511012.

Thus, GCF of Fractions is 1/511012.Finally, GCF of Fractions for 1901/172, 6334/5942 is 1/511012.