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GCF of 687/509, 6091/608

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 687/509, 6091/608 i.e 1/309472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 687/509, 6091/608.

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 687/509,6091/608?

Given fractions are 687/509,6091/608

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 687/509,6091/608, numerators are 687,6091

Denominators are 509,608

The GCF of 687,6091 is 1 .

LCM of 509,608 is 309472.

The greatest common factor of 687/509,6091/608 = [GCF of 687,6091]/[LCM of 509,608]= 1/309472

Therefore, the GCF of 687/509,6091/608 is 1/309472.

Greatest Common Factor of 687,6091

To find the highest common factor of 687,6091, 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 6091 are 1, 6091

The HCF of 687,6091 is 1.

Lets's calculate GCF of 687,6091

Greatest Common Factor (GCF) of 687,6091 By Common Division

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

Greatest Common Factor of 687,6091 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,6091 By Matching Biggest Common Factor Method

Now, list down the factors of 687

:

1,3,229,687

Now, list down the factors of 6091

:

1,6091

Greatest Common Factor

We found the factors 687,6091 . The biggest common factor number is the GCF number.
So the greatest common factor 687,6091 is 1.

Lets's calculate LCM of 509,608

Lowest Common Multiple of 509,608 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 309472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309472

Therefore, the GCF of Fractions 687/509,6091/608 is 1/309472

Least Common Multiple of 509,608 with GCF Formula

Least Common Multiple of 509,608 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 509,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,608) = 1

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

GCF(509,608) x common factors =1 x 1 = 1

LCM(509,608) = ( 509 × 608 ) / 1

LCM(509,608) = 309472 / 1

LCM(509,608) = 309472


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FAQs on GCF of Fractions of 687/509, 6091/608

1. What is the HCF of 687,6091?

The HCF of 687,6091 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 687/509, 6091/608?

Answer: GCF of Numerators as per given numbers 687/509, 6091/608 is

GCF of Numerators i.e. for 687,6091 is 1

LCM of denominators i.e. for 509,608 is 309472.

Thus, GCF of Fractions is 1/309472.Finally, GCF of Fractions for 687/509, 6091/608 is 1/309472.