How to Find GCF of 4936/975, 9517/8572?

GCF of 4936/975, 9517/8572

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 4936/975, 9517/8572 i.e 1/8357700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4936/975, 9517/8572.

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 4936/975,9517/8572?

Given fractions are 4936/975,9517/8572

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 4936/975,9517/8572, numerators are 4936,9517

Denominators are 975,8572

The GCF of 4936,9517 is 1 .

LCM of 975,8572 is 8357700.

The greatest common factor of 4936/975,9517/8572 = [GCF of 4936,9517]/[LCM of 975,8572]= 1/8357700

Therefore, the GCF of 4936/975,9517/8572 is 1/8357700.

Greatest Common Factor of 4936,9517

To find the highest common factor of 4936,9517, we have to find the factors of both numbers and list the highest common factor.

The factors of 4936 are 1, 2, 4, 8, 617, 1234, 2468, 4936

The factors of 9517 are 1, 31, 307, 9517

The HCF of 4936,9517 is 1.

Lets's calculate GCF of 4936,9517

Greatest Common Factor (GCF) of 4936,9517 By Common Division

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

Greatest Common Factor of 4936,9517 By Matching Biggest Common Factor Method

Now, list down the factors of 4936

1,2,4,8,617,1234,2468,4936

Now, list down the factors of 9517

1,31,307,9517

Greatest Common Factor

We found the factors 4936,9517 . The biggest common factor number is the GCF number.
So the greatest common factor 4936,9517 is 1.

Lets's calculate LCM of 975,8572

Lowest Common Multiple of 975,8572 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8357700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8357700

Therefore, the GCF of Fractions 4936/975,9517/8572 is 1/8357700

Least Common Multiple of 975,8572 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 975,8572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,8572) = 1

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

GCF(975,8572) x common factors =1 x 1 = 1

LCM(975,8572) = ( 975 × 8572 ) / 1

LCM(975,8572) = 8357700 / 1

LCM(975,8572) = 8357700

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FAQs on GCF of Fractions of 4936/975, 9517/8572

1. What is the HCF of 4936,9517?

The HCF of 4936,9517 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 4936/975, 9517/8572?

Answer: GCF of Numerators as per given numbers 4936/975, 9517/8572 is

GCF of Numerators i.e. for 4936,9517 is 1

LCM of denominators i.e. for 975,8572 is 8357700.

Thus, GCF of Fractions is 1/8357700.Finally, GCF of Fractions for 4936/975, 9517/8572 is 1/8357700.