How to Find GCF of 991/71, 807/87, 514/91?

GCF of 991/71, 807/87, 514/91

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 991/71, 807/87, 514/91 i.e 1/562107 easily. The following is the detailed procedure to determine the greatest common factor of fractions 991/71, 807/87, 514/91.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 991/71,807/87,514/91?

Given fractions are 991/71,807/87,514/91

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 991/71,807/87,514/91, numerators are 991,807,514

Denominators are 71,87,91

The GCF of 991,807,514 is 1 .

LCM of 71,87,91 is 562107.

The greatest common factor of 991/71,807/87,514/91 = [GCF of 991,807,514]/[LCM of 71,87,91]= 1/562107

Therefore, the GCF of 991/71,807/87,514/91 is 1/562107.

Greatest Common Factor of 991,807,514

To find the highest common factor of 991,807,514, we have to find the factors of both numbers and list the highest common factor.

The factors of 991 are 1, 991

The factors of 807 are 1, 3, 269, 807

The factors of 514 are 1, 2, 257, 514

The HCF of 991,807,514 is 1.

Lets's calculate GCF of 991,807,514

Greatest Common Factor (GCF) of 991,807,514 By Common Division

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

Greatest Common Factor of 991,807,514 By Matching Biggest Common Factor Method

Now, list down the factors of 991

1,991

Now, list down the factors of 807

1,3,269,807

Now, list down the factors of 514

1,2,257,514

Greatest Common Factor

We found the factors 991,807,514 . The biggest common factor number is the GCF number.
So the greatest common factor 991,807,514 is 1.

Lets's calculate LCM of 71,87,91

Lowest Common Multiple of 71,87,91 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 562107

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/562107

Therefore, the GCF of Fractions 991/71,807/87,514/91 is 1/562107

Least Common Multiple of 71,87,91 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 71,87,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,87,91) = 1

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

GCF(71,87,91) x common factors =1 x 1 = 1

LCM(71,87,91) = ( 71 × 87 × 91 ) / 1

LCM(71,87,91) = 562107 / 1

LCM(71,87,91) = 562107

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FAQs on GCF of Fractions of 991/71, 807/87, 514/91

1. What is the HCF of 991,807,514?

The HCF of 991,807,514 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 991/71, 807/87, 514/91?

Answer: GCF of Numerators as per given numbers 991/71, 807/87, 514/91 is

GCF of Numerators i.e. for 991,807,514 is 1

LCM of denominators i.e. for 71,87,91 is 562107.

Thus, GCF of Fractions is 1/562107.Finally, GCF of Fractions for 991/71, 807/87, 514/91 is 1/562107.