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GCF of 986/788, 711/728

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 986/788, 711/728 i.e 1/143416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 986/788, 711/728.

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 986/788,711/728?

Given fractions are 986/788,711/728

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 986/788,711/728, numerators are 986,711

Denominators are 788,728

The GCF of 986,711 is 1 .

LCM of 788,728 is 143416.

The greatest common factor of 986/788,711/728 = [GCF of 986,711]/[LCM of 788,728]= 1/143416

Therefore, the GCF of 986/788,711/728 is 1/143416.

Greatest Common Factor of 986,711

To find the highest common factor of 986,711, we have to find the factors of both numbers and list the highest common factor.

The factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986

The factors of 711 are 1, 3, 9, 79, 237, 711

The HCF of 986,711 is 1.

Lets's calculate GCF of 986,711

Greatest Common Factor (GCF) of 986,711 By Common Division

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

Greatest Common Factor of 986,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,711 By Matching Biggest Common Factor Method

Now, list down the factors of 986

:

1,2,17,29,34,58,493,986

Now, list down the factors of 711

:

1,3,9,79,237,711

Greatest Common Factor

We found the factors 986,711 . The biggest common factor number is the GCF number.
So the greatest common factor 986,711 is 1.

Lets's calculate LCM of 788,728

Lowest Common Multiple of 788,728 using Common Division

2 788, 728
2 394, 364
197, 182

∴ So the LCM of the given numbers is 2 x 2 x 197 x 182 = 143416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143416

Therefore, the GCF of Fractions 986/788,711/728 is 1/143416

Least Common Multiple of 788,728 with GCF Formula

Least Common Multiple of 788,728 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 788,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,728) = 4

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

GCF(788,728) x common factors =4 x 1 = 4

LCM(788,728) = ( 788 × 728 ) / 4

LCM(788,728) = 573664 / 4

LCM(788,728) = 143416


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 986/788, 711/728

1. What is the HCF of 986,711?

The HCF of 986,711 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 986/788, 711/728?

Answer: GCF of Numerators as per given numbers 986/788, 711/728 is

GCF of Numerators i.e. for 986,711 is 1

LCM of denominators i.e. for 788,728 is 143416.

Thus, GCF of Fractions is 1/143416.Finally, GCF of Fractions for 986/788, 711/728 is 1/143416.