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GCF of 629/48, 687/180

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 629/48, 687/180 i.e 1/720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 629/48, 687/180.

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 629/48,687/180?

Given fractions are 629/48,687/180

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 629/48,687/180, numerators are 629,687

Denominators are 48,180

The GCF of 629,687 is 1 .

LCM of 48,180 is 720.

The greatest common factor of 629/48,687/180 = [GCF of 629,687]/[LCM of 48,180]= 1/720

Therefore, the GCF of 629/48,687/180 is 1/720.

Greatest Common Factor of 629,687

To find the highest common factor of 629,687, we have to find the factors of both numbers and list the highest common factor.

The factors of 629 are 1, 17, 37, 629

The factors of 687 are 1, 3, 229, 687

The HCF of 629,687 is 1.

Lets's calculate GCF of 629,687

Greatest Common Factor (GCF) of 629,687 By Common Division

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

Greatest Common Factor of 629,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,687 By Matching Biggest Common Factor Method

Now, list down the factors of 629

:

1,17,37,629

Now, list down the factors of 687

:

1,3,229,687

Greatest Common Factor

We found the factors 629,687 . The biggest common factor number is the GCF number.
So the greatest common factor 629,687 is 1.

Lets's calculate LCM of 48,180

Lowest Common Multiple of 48,180 using Common Division

2 48, 180
2 24, 90
3 12, 45
4, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 15 = 720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/720

Therefore, the GCF of Fractions 629/48,687/180 is 1/720

Least Common Multiple of 48,180 with GCF Formula

Least Common Multiple of 48,180 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 48,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,180) = 12

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

GCF(48,180) x common factors =12 x 1 = 12

LCM(48,180) = ( 48 × 180 ) / 12

LCM(48,180) = 8640 / 12

LCM(48,180) = 720


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FAQs on GCF of Fractions of 629/48, 687/180

1. What is the HCF of 629,687?

The HCF of 629,687 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 629/48, 687/180?

Answer: GCF of Numerators as per given numbers 629/48, 687/180 is

GCF of Numerators i.e. for 629,687 is 1

LCM of denominators i.e. for 48,180 is 720.

Thus, GCF of Fractions is 1/720.Finally, GCF of Fractions for 629/48, 687/180 is 1/720.