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GCF of 250/285, 687/406

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 250/285, 687/406 i.e 1/115710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 250/285, 687/406.

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 250/285,687/406?

Given fractions are 250/285,687/406

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 250/285,687/406, numerators are 250,687

Denominators are 285,406

The GCF of 250,687 is 1 .

LCM of 285,406 is 115710.

The greatest common factor of 250/285,687/406 = [GCF of 250,687]/[LCM of 285,406]= 1/115710

Therefore, the GCF of 250/285,687/406 is 1/115710.

Greatest Common Factor of 250,687

To find the highest common factor of 250,687, we have to find the factors of both numbers and list the highest common factor.

The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250

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

The HCF of 250,687 is 1.

Lets's calculate GCF of 250,687

Greatest Common Factor (GCF) of 250,687 By Common Division

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

Greatest Common Factor of 250,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,687 By Matching Biggest Common Factor Method

Now, list down the factors of 250

:

1,2,5,10,25,50,125,250

Now, list down the factors of 687

:

1,3,229,687

Greatest Common Factor

We found the factors 250,687 . The biggest common factor number is the GCF number.
So the greatest common factor 250,687 is 1.

Lets's calculate LCM of 285,406

Lowest Common Multiple of 285,406 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 115710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115710

Therefore, the GCF of Fractions 250/285,687/406 is 1/115710

Least Common Multiple of 285,406 with GCF Formula

Least Common Multiple of 285,406 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 285,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,406) = 1

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

GCF(285,406) x common factors =1 x 1 = 1

LCM(285,406) = ( 285 × 406 ) / 1

LCM(285,406) = 115710 / 1

LCM(285,406) = 115710


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FAQs on GCF of Fractions of 250/285, 687/406

1. What is the HCF of 250,687?

The HCF of 250,687 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 250/285, 687/406?

Answer: GCF of Numerators as per given numbers 250/285, 687/406 is

GCF of Numerators i.e. for 250,687 is 1

LCM of denominators i.e. for 285,406 is 115710.

Thus, GCF of Fractions is 1/115710.Finally, GCF of Fractions for 250/285, 687/406 is 1/115710.