How to Find GCF of 1517/423, 7999/6851?

GCF of 1517/423, 7999/6851

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 1517/423, 7999/6851 i.e 1/2897973 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1517/423, 7999/6851.

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 1517/423,7999/6851?

Given fractions are 1517/423,7999/6851

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 1517/423,7999/6851, numerators are 1517,7999

Denominators are 423,6851

The GCF of 1517,7999 is 1 .

LCM of 423,6851 is 2897973.

The greatest common factor of 1517/423,7999/6851 = [GCF of 1517,7999]/[LCM of 423,6851]= 1/2897973

Therefore, the GCF of 1517/423,7999/6851 is 1/2897973.

Greatest Common Factor of 1517,7999

To find the highest common factor of 1517,7999, we have to find the factors of both numbers and list the highest common factor.

The factors of 1517 are 1, 37, 41, 1517

The factors of 7999 are 1, 19, 421, 7999

The HCF of 1517,7999 is 1.

Lets's calculate GCF of 1517,7999

Greatest Common Factor (GCF) of 1517,7999 By Common Division

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

Greatest Common Factor of 1517,7999 By Matching Biggest Common Factor Method

Now, list down the factors of 1517

1,37,41,1517

Now, list down the factors of 7999

1,19,421,7999

Greatest Common Factor

We found the factors 1517,7999 . The biggest common factor number is the GCF number.
So the greatest common factor 1517,7999 is 1.

Lets's calculate LCM of 423,6851

Lowest Common Multiple of 423,6851 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2897973

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2897973

Therefore, the GCF of Fractions 1517/423,7999/6851 is 1/2897973

Least Common Multiple of 423,6851 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 423,6851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,6851) = 1

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

GCF(423,6851) x common factors =1 x 1 = 1

LCM(423,6851) = ( 423 × 6851 ) / 1

LCM(423,6851) = 2897973 / 1

LCM(423,6851) = 2897973

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FAQs on GCF of Fractions of 1517/423, 7999/6851

1. What is the HCF of 1517,7999?

The HCF of 1517,7999 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 1517/423, 7999/6851?

Answer: GCF of Numerators as per given numbers 1517/423, 7999/6851 is

GCF of Numerators i.e. for 1517,7999 is 1

LCM of denominators i.e. for 423,6851 is 2897973.

Thus, GCF of Fractions is 1/2897973.Finally, GCF of Fractions for 1517/423, 7999/6851 is 1/2897973.