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GCF of 927/321, 953/940

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 927/321, 953/940 i.e 1/301740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 927/321, 953/940.

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 927/321,953/940?

Given fractions are 927/321,953/940

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 927/321,953/940, numerators are 927,953

Denominators are 321,940

The GCF of 927,953 is 1 .

LCM of 321,940 is 301740.

The greatest common factor of 927/321,953/940 = [GCF of 927,953]/[LCM of 321,940]= 1/301740

Therefore, the GCF of 927/321,953/940 is 1/301740.

Greatest Common Factor of 927,953

To find the highest common factor of 927,953, we have to find the factors of both numbers and list the highest common factor.

The factors of 927 are 1, 3, 9, 103, 309, 927

The factors of 953 are 1, 953

The HCF of 927,953 is 1.

Lets's calculate GCF of 927,953

Greatest Common Factor (GCF) of 927,953 By Common Division

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

Greatest Common Factor of 927,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,953 By Matching Biggest Common Factor Method

Now, list down the factors of 927

:

1,3,9,103,309,927

Now, list down the factors of 953

:

1,953

Greatest Common Factor

We found the factors 927,953 . The biggest common factor number is the GCF number.
So the greatest common factor 927,953 is 1.

Lets's calculate LCM of 321,940

Lowest Common Multiple of 321,940 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 301740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301740

Therefore, the GCF of Fractions 927/321,953/940 is 1/301740

Least Common Multiple of 321,940 with GCF Formula

Least Common Multiple of 321,940 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 321,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,940) = 1

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

GCF(321,940) x common factors =1 x 1 = 1

LCM(321,940) = ( 321 × 940 ) / 1

LCM(321,940) = 301740 / 1

LCM(321,940) = 301740


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FAQs on GCF of Fractions of 927/321, 953/940

1. What is the HCF of 927,953?

The HCF of 927,953 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 927/321, 953/940?

Answer: GCF of Numerators as per given numbers 927/321, 953/940 is

GCF of Numerators i.e. for 927,953 is 1

LCM of denominators i.e. for 321,940 is 301740.

Thus, GCF of Fractions is 1/301740.Finally, GCF of Fractions for 927/321, 953/940 is 1/301740.