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GCF of 687/505, 2689/108

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 687/505, 2689/108 i.e 1/54540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 687/505, 2689/108.

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 687/505,2689/108?

Given fractions are 687/505,2689/108

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 687/505,2689/108, numerators are 687,2689

Denominators are 505,108

The GCF of 687,2689 is 1 .

LCM of 505,108 is 54540.

The greatest common factor of 687/505,2689/108 = [GCF of 687,2689]/[LCM of 505,108]= 1/54540

Therefore, the GCF of 687/505,2689/108 is 1/54540.

Greatest Common Factor of 687,2689

To find the highest common factor of 687,2689, 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 2689 are 1, 2689

The HCF of 687,2689 is 1.

Lets's calculate GCF of 687,2689

Greatest Common Factor (GCF) of 687,2689 By Common Division

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

Greatest Common Factor of 687,2689 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,2689 By Matching Biggest Common Factor Method

Now, list down the factors of 687

:

1,3,229,687

Now, list down the factors of 2689

:

1,2689

Greatest Common Factor

We found the factors 687,2689 . The biggest common factor number is the GCF number.
So the greatest common factor 687,2689 is 1.

Lets's calculate LCM of 505,108

Lowest Common Multiple of 505,108 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 54540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54540

Therefore, the GCF of Fractions 687/505,2689/108 is 1/54540

Least Common Multiple of 505,108 with GCF Formula

Least Common Multiple of 505,108 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 505,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,108) = 1

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

GCF(505,108) x common factors =1 x 1 = 1

LCM(505,108) = ( 505 × 108 ) / 1

LCM(505,108) = 54540 / 1

LCM(505,108) = 54540


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FAQs on GCF of Fractions of 687/505, 2689/108

1. What is the HCF of 687,2689?

The HCF of 687,2689 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 687/505, 2689/108?

Answer: GCF of Numerators as per given numbers 687/505, 2689/108 is

GCF of Numerators i.e. for 687,2689 is 1

LCM of denominators i.e. for 505,108 is 54540.

Thus, GCF of Fractions is 1/54540.Finally, GCF of Fractions for 687/505, 2689/108 is 1/54540.