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GCF of 391/31, 810/225

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 391/31, 810/225 i.e 1/6975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/31, 810/225.

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 391/31,810/225?

Given fractions are 391/31,810/225

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 391/31,810/225, numerators are 391,810

Denominators are 31,225

The GCF of 391,810 is 1 .

LCM of 31,225 is 6975.

The greatest common factor of 391/31,810/225 = [GCF of 391,810]/[LCM of 31,225]= 1/6975

Therefore, the GCF of 391/31,810/225 is 1/6975.

Greatest Common Factor of 391,810

To find the highest common factor of 391,810, we have to find the factors of both numbers and list the highest common factor.

The factors of 391 are 1, 17, 23, 391

The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

The HCF of 391,810 is 1.

Lets's calculate GCF of 391,810

Greatest Common Factor (GCF) of 391,810 By Common Division

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

Greatest Common Factor of 391,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,810 By Matching Biggest Common Factor Method

Now, list down the factors of 391

:

1,17,23,391

Now, list down the factors of 810

:

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 391,810 . The biggest common factor number is the GCF number.
So the greatest common factor 391,810 is 1.

Lets's calculate LCM of 31,225

Lowest Common Multiple of 31,225 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6975

Therefore, the GCF of Fractions 391/31,810/225 is 1/6975

Least Common Multiple of 31,225 with GCF Formula

Least Common Multiple of 31,225 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 31,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,225) = 1

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

GCF(31,225) x common factors =1 x 1 = 1

LCM(31,225) = ( 31 × 225 ) / 1

LCM(31,225) = 6975 / 1

LCM(31,225) = 6975


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FAQs on GCF of Fractions of 391/31, 810/225

1. What is the HCF of 391,810?

The HCF of 391,810 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 391/31, 810/225?

Answer: GCF of Numerators as per given numbers 391/31, 810/225 is

GCF of Numerators i.e. for 391,810 is 1

LCM of denominators i.e. for 31,225 is 6975.

Thus, GCF of Fractions is 1/6975.Finally, GCF of Fractions for 391/31, 810/225 is 1/6975.