How to Find GCF of 976/611, 517/485?

GCF of 976/611, 517/485

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 976/611, 517/485 i.e 1/296335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/611, 517/485.

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 976/611,517/485?

Given fractions are 976/611,517/485

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 976/611,517/485, numerators are 976,517

Denominators are 611,485

The GCF of 976,517 is 1 .

LCM of 611,485 is 296335.

The greatest common factor of 976/611,517/485 = [GCF of 976,517]/[LCM of 611,485]= 1/296335

Therefore, the GCF of 976/611,517/485 is 1/296335.

Greatest Common Factor of 976,517

To find the highest common factor of 976,517, we have to find the factors of both numbers and list the highest common factor.

The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

The factors of 517 are 1, 11, 47, 517

The HCF of 976,517 is 1.

Lets's calculate GCF of 976,517

Greatest Common Factor (GCF) of 976,517 By Common Division

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

Greatest Common Factor of 976,517 By Matching Biggest Common Factor Method

Now, list down the factors of 976

1,2,4,8,16,61,122,244,488,976

Now, list down the factors of 517

1,11,47,517

Greatest Common Factor

We found the factors 976,517 . The biggest common factor number is the GCF number.
So the greatest common factor 976,517 is 1.

Lets's calculate LCM of 611,485

Lowest Common Multiple of 611,485 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 296335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296335

Therefore, the GCF of Fractions 976/611,517/485 is 1/296335

Least Common Multiple of 611,485 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 611,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,485) = 1

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

GCF(611,485) x common factors =1 x 1 = 1

LCM(611,485) = ( 611 × 485 ) / 1

LCM(611,485) = 296335 / 1

LCM(611,485) = 296335

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FAQs on GCF of Fractions of 976/611, 517/485

1. What is the HCF of 976,517?

The HCF of 976,517 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 976/611, 517/485?

Answer: GCF of Numerators as per given numbers 976/611, 517/485 is

GCF of Numerators i.e. for 976,517 is 1

LCM of denominators i.e. for 611,485 is 296335.

Thus, GCF of Fractions is 1/296335.Finally, GCF of Fractions for 976/611, 517/485 is 1/296335.