How to Find GCF of 687/73, 940/7255?

GCF of 687/73, 940/7255

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 687/73, 940/7255 i.e 1/529615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 687/73, 940/7255.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 687/73,940/7255?

Given fractions are 687/73,940/7255

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 687/73,940/7255, numerators are 687,940

Denominators are 73,7255

The GCF of 687,940 is 1 .

LCM of 73,7255 is 529615.

The greatest common factor of 687/73,940/7255 = [GCF of 687,940]/[LCM of 73,7255]= 1/529615

Therefore, the GCF of 687/73,940/7255 is 1/529615.

Greatest Common Factor of 687,940

To find the highest common factor of 687,940, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

The HCF of 687,940 is 1.

Lets's calculate GCF of 687,940

Greatest Common Factor (GCF) of 687,940 By Common Division

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

Greatest Common Factor of 687,940 By Matching Biggest Common Factor Method

Now, list down the factors of 687

1,3,229,687

Now, list down the factors of 940

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 687,940 . The biggest common factor number is the GCF number.
So the greatest common factor 687,940 is 1.

Lets's calculate LCM of 73,7255

Lowest Common Multiple of 73,7255 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 529615

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/529615

Therefore, the GCF of Fractions 687/73,940/7255 is 1/529615

Least Common Multiple of 73,7255 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 73,7255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,7255) = 1

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

GCF(73,7255) x common factors =1 x 1 = 1

LCM(73,7255) = ( 73 × 7255 ) / 1

LCM(73,7255) = 529615 / 1

LCM(73,7255) = 529615

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FAQs on GCF of Fractions of 687/73, 940/7255

1. What is the HCF of 687,940?

The HCF of 687,940 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 687/73, 940/7255?

Answer: GCF of Numerators as per given numbers 687/73, 940/7255 is

GCF of Numerators i.e. for 687,940 is 1

LCM of denominators i.e. for 73,7255 is 529615.

Thus, GCF of Fractions is 1/529615.Finally, GCF of Fractions for 687/73, 940/7255 is 1/529615.