How to Find GCF of 479/523, 6508/970?

GCF of 479/523, 6508/970

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 479/523, 6508/970 i.e 1/507310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 479/523, 6508/970.

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 479/523,6508/970?

Given fractions are 479/523,6508/970

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 479/523,6508/970, numerators are 479,6508

Denominators are 523,970

The GCF of 479,6508 is 1 .

LCM of 523,970 is 507310.

The greatest common factor of 479/523,6508/970 = [GCF of 479,6508]/[LCM of 523,970]= 1/507310

Therefore, the GCF of 479/523,6508/970 is 1/507310.

Greatest Common Factor of 479,6508

To find the highest common factor of 479,6508, we have to find the factors of both numbers and list the highest common factor.

The factors of 479 are 1, 479

The factors of 6508 are 1, 2, 4, 1627, 3254, 6508

The HCF of 479,6508 is 1.

Lets's calculate GCF of 479,6508

Greatest Common Factor (GCF) of 479,6508 By Common Division

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

Greatest Common Factor of 479,6508 By Matching Biggest Common Factor Method

Now, list down the factors of 479

1,479

Now, list down the factors of 6508

1,2,4,1627,3254,6508

Greatest Common Factor

We found the factors 479,6508 . The biggest common factor number is the GCF number.
So the greatest common factor 479,6508 is 1.

Lets's calculate LCM of 523,970

Lowest Common Multiple of 523,970 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 507310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/507310

Therefore, the GCF of Fractions 479/523,6508/970 is 1/507310

Least Common Multiple of 523,970 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 523,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,970) = 1

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

GCF(523,970) x common factors =1 x 1 = 1

LCM(523,970) = ( 523 × 970 ) / 1

LCM(523,970) = 507310 / 1

LCM(523,970) = 507310

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FAQs on GCF of Fractions of 479/523, 6508/970

1. What is the HCF of 479,6508?

The HCF of 479,6508 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 479/523, 6508/970?

Answer: GCF of Numerators as per given numbers 479/523, 6508/970 is

GCF of Numerators i.e. for 479,6508 is 1

LCM of denominators i.e. for 523,970 is 507310.

Thus, GCF of Fractions is 1/507310.Finally, GCF of Fractions for 479/523, 6508/970 is 1/507310.