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GCF of 691/61, 508/768

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 691/61, 508/768 i.e 1/46848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 691/61, 508/768.

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 691/61,508/768?

Given fractions are 691/61,508/768

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 691/61,508/768, numerators are 691,508

Denominators are 61,768

The GCF of 691,508 is 1 .

LCM of 61,768 is 46848.

The greatest common factor of 691/61,508/768 = [GCF of 691,508]/[LCM of 61,768]= 1/46848

Therefore, the GCF of 691/61,508/768 is 1/46848.

Greatest Common Factor of 691,508

To find the highest common factor of 691,508, we have to find the factors of both numbers and list the highest common factor.

The factors of 691 are 1, 691

The factors of 508 are 1, 2, 4, 127, 254, 508

The HCF of 691,508 is 1.

Lets's calculate GCF of 691,508

Greatest Common Factor (GCF) of 691,508 By Common Division

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

Greatest Common Factor of 691,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,508 By Matching Biggest Common Factor Method

Now, list down the factors of 691

:

1,691

Now, list down the factors of 508

:

1,2,4,127,254,508

Greatest Common Factor

We found the factors 691,508 . The biggest common factor number is the GCF number.
So the greatest common factor 691,508 is 1.

Lets's calculate LCM of 61,768

Lowest Common Multiple of 61,768 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 46848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46848

Therefore, the GCF of Fractions 691/61,508/768 is 1/46848

Least Common Multiple of 61,768 with GCF Formula

Least Common Multiple of 61,768 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 61,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,768) = 1

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

GCF(61,768) x common factors =1 x 1 = 1

LCM(61,768) = ( 61 × 768 ) / 1

LCM(61,768) = 46848 / 1

LCM(61,768) = 46848


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FAQs on GCF of Fractions of 691/61, 508/768

1. What is the HCF of 691,508?

The HCF of 691,508 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 691/61, 508/768?

Answer: GCF of Numerators as per given numbers 691/61, 508/768 is

GCF of Numerators i.e. for 691,508 is 1

LCM of denominators i.e. for 61,768 is 46848.

Thus, GCF of Fractions is 1/46848.Finally, GCF of Fractions for 691/61, 508/768 is 1/46848.