How to Find GCF of 536/463, 976/722?

GCF of 536/463, 976/722

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 536/463, 976/722 i.e 8/334286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 536/463, 976/722.

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 536/463,976/722?

Given fractions are 536/463,976/722

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 536/463,976/722, numerators are 536,976

Denominators are 463,722

The GCF of 536,976 is 8 .

LCM of 463,722 is 334286.

The greatest common factor of 536/463,976/722 = [GCF of 536,976]/[LCM of 463,722]= 8/334286

Therefore, the GCF of 536/463,976/722 is 8/334286.

Greatest Common Factor of 536,976

To find the highest common factor of 536,976, we have to find the factors of both numbers and list the highest common factor.

The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536

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

The HCF of 536,976 is 8.

Lets's calculate GCF of 536,976

Greatest Common Factor (GCF) of 536,976 By Common Division

2	536, 976
2	268, 488
2	134, 244
	67, 122

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 536,976 By Matching Biggest Common Factor Method

Now, list down the factors of 536

1,2,4,8,67,134,268,536

Now, list down the factors of 976

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

Greatest Common Factor

We found the factors 536,976 . The biggest common factor number is the GCF number.
So the greatest common factor 536,976 is 8.

Lets's calculate LCM of 463,722

Lowest Common Multiple of 463,722 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 334286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/334286

Therefore, the GCF of Fractions 536/463,976/722 is 8/334286

Least Common Multiple of 463,722 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 463,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,722) = 1

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

GCF(463,722) x common factors =1 x 1 = 1

LCM(463,722) = ( 463 × 722 ) / 1

LCM(463,722) = 334286 / 1

LCM(463,722) = 334286

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FAQs on GCF of Fractions of 536/463, 976/722

1. What is the HCF of 536,976?

The HCF of 536,976 is 8

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 536/463, 976/722?

Answer: GCF of Numerators as per given numbers 536/463, 976/722 is

GCF of Numerators i.e. for 536,976 is 8

LCM of denominators i.e. for 463,722 is 334286.

Thus, GCF of Fractions is 8/334286.Finally, GCF of Fractions for 536/463, 976/722 is 8/334286.