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GCF of 631/966, 3686/788

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 631/966, 3686/788 i.e 1/380604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/966, 3686/788.

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 631/966,3686/788?

Given fractions are 631/966,3686/788

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 631/966,3686/788, numerators are 631,3686

Denominators are 966,788

The GCF of 631,3686 is 1 .

LCM of 966,788 is 380604.

The greatest common factor of 631/966,3686/788 = [GCF of 631,3686]/[LCM of 966,788]= 1/380604

Therefore, the GCF of 631/966,3686/788 is 1/380604.

Greatest Common Factor of 631,3686

To find the highest common factor of 631,3686, we have to find the factors of both numbers and list the highest common factor.

The factors of 631 are 1, 631

The factors of 3686 are 1, 2, 19, 38, 97, 194, 1843, 3686

The HCF of 631,3686 is 1.

Lets's calculate GCF of 631,3686

Greatest Common Factor (GCF) of 631,3686 By Common Division

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

Greatest Common Factor of 631,3686 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,3686 By Matching Biggest Common Factor Method

Now, list down the factors of 631

:

1,631

Now, list down the factors of 3686

:

1,2,19,38,97,194,1843,3686

Greatest Common Factor

We found the factors 631,3686 . The biggest common factor number is the GCF number.
So the greatest common factor 631,3686 is 1.

Lets's calculate LCM of 966,788

Lowest Common Multiple of 966,788 using Common Division

2 966, 788
483, 394

∴ So the LCM of the given numbers is 2 x 483 x 394 = 380604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/380604

Therefore, the GCF of Fractions 631/966,3686/788 is 1/380604

Least Common Multiple of 966,788 with GCF Formula

Least Common Multiple of 966,788 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 966,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,788) = 2

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

GCF(966,788) x common factors =2 x 1 = 2

LCM(966,788) = ( 966 × 788 ) / 2

LCM(966,788) = 761208 / 2

LCM(966,788) = 380604


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FAQs on GCF of Fractions of 631/966, 3686/788

1. What is the HCF of 631,3686?

The HCF of 631,3686 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 631/966, 3686/788?

Answer: GCF of Numerators as per given numbers 631/966, 3686/788 is

GCF of Numerators i.e. for 631,3686 is 1

LCM of denominators i.e. for 966,788 is 380604.

Thus, GCF of Fractions is 1/380604.Finally, GCF of Fractions for 631/966, 3686/788 is 1/380604.