How to Find GCF of 7887/572, 1987/1670?

GCF of 7887/572, 1987/1670

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 7887/572, 1987/1670 i.e 1/477620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7887/572, 1987/1670.

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 7887/572,1987/1670?

Given fractions are 7887/572,1987/1670

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 7887/572,1987/1670, numerators are 7887,1987

Denominators are 572,1670

The GCF of 7887,1987 is 1 .

LCM of 572,1670 is 477620.

The greatest common factor of 7887/572,1987/1670 = [GCF of 7887,1987]/[LCM of 572,1670]= 1/477620

Therefore, the GCF of 7887/572,1987/1670 is 1/477620.

Greatest Common Factor of 7887,1987

To find the highest common factor of 7887,1987, we have to find the factors of both numbers and list the highest common factor.

The factors of 7887 are 1, 3, 11, 33, 239, 717, 2629, 7887

The factors of 1987 are 1, 1987

The HCF of 7887,1987 is 1.

Lets's calculate GCF of 7887,1987

Greatest Common Factor (GCF) of 7887,1987 By Common Division

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

Greatest Common Factor of 7887,1987 By Matching Biggest Common Factor Method

Now, list down the factors of 7887

1,3,11,33,239,717,2629,7887

Now, list down the factors of 1987

1,1987

Greatest Common Factor

We found the factors 7887,1987 . The biggest common factor number is the GCF number.
So the greatest common factor 7887,1987 is 1.

Lets's calculate LCM of 572,1670

Lowest Common Multiple of 572,1670 using Common Division

2	572, 1670
	286, 835

∴ So the LCM of the given numbers is 2 x 286 x 835 = 477620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477620

Therefore, the GCF of Fractions 7887/572,1987/1670 is 1/477620

Least Common Multiple of 572,1670 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 572,1670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,1670) = 2

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

GCF(572,1670) x common factors =2 x 1 = 2

LCM(572,1670) = ( 572 × 1670 ) / 2

LCM(572,1670) = 955240 / 2

LCM(572,1670) = 477620

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FAQs on GCF of Fractions of 7887/572, 1987/1670

1. What is the HCF of 7887,1987?

The HCF of 7887,1987 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 7887/572, 1987/1670?

Answer: GCF of Numerators as per given numbers 7887/572, 1987/1670 is

GCF of Numerators i.e. for 7887,1987 is 1

LCM of denominators i.e. for 572,1670 is 477620.

Thus, GCF of Fractions is 1/477620.Finally, GCF of Fractions for 7887/572, 1987/1670 is 1/477620.