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GCF of 631/15, 618/682

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 631/15, 618/682 i.e 1/10230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/15, 618/682.

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 631/15,618/682?

Given fractions are 631/15,618/682

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 631/15,618/682, numerators are 631,618

Denominators are 15,682

The GCF of 631,618 is 1 .

LCM of 15,682 is 10230.

The greatest common factor of 631/15,618/682 = [GCF of 631,618]/[LCM of 15,682]= 1/10230

Therefore, the GCF of 631/15,618/682 is 1/10230.

Greatest Common Factor of 631,618

To find the highest common factor of 631,618, we have to find the factors of both numbers and list the highest common factor.

The factors of 631 are 1, 631

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618

The HCF of 631,618 is 1.

Lets's calculate GCF of 631,618

Greatest Common Factor (GCF) of 631,618 By Common Division

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

Greatest Common Factor of 631,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,618 By Matching Biggest Common Factor Method

Now, list down the factors of 631

:

1,631

Now, list down the factors of 618

:

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 631,618 . The biggest common factor number is the GCF number.
So the greatest common factor 631,618 is 1.

Lets's calculate LCM of 15,682

Lowest Common Multiple of 15,682 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 10230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10230

Therefore, the GCF of Fractions 631/15,618/682 is 1/10230

Least Common Multiple of 15,682 with GCF Formula

Least Common Multiple of 15,682 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 15,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,682) = 1

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

GCF(15,682) x common factors =1 x 1 = 1

LCM(15,682) = ( 15 × 682 ) / 1

LCM(15,682) = 10230 / 1

LCM(15,682) = 10230


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FAQs on GCF of Fractions of 631/15, 618/682

1. What is the HCF of 631,618?

The HCF of 631,618 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 631/15, 618/682?

Answer: GCF of Numerators as per given numbers 631/15, 618/682 is

GCF of Numerators i.e. for 631,618 is 1

LCM of denominators i.e. for 15,682 is 10230.

Thus, GCF of Fractions is 1/10230.Finally, GCF of Fractions for 631/15, 618/682 is 1/10230.