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GCF of 536/997, 902/864

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 536/997, 902/864 i.e 2/861408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 536/997, 902/864.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 536/997,902/864?

Given fractions are 536/997,902/864

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 536/997,902/864, numerators are 536,902

Denominators are 997,864

The GCF of 536,902 is 2 .

LCM of 997,864 is 861408.

The greatest common factor of 536/997,902/864 = [GCF of 536,902]/[LCM of 997,864]= 2/861408

Therefore, the GCF of 536/997,902/864 is 2/861408.

Greatest Common Factor of 536,902

To find the highest common factor of 536,902, 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 902 are 1, 2, 11, 22, 41, 82, 451, 902

The HCF of 536,902 is 2.

Lets's calculate GCF of 536,902

Greatest Common Factor (GCF) of 536,902 By Common Division

2 536, 902
268, 451

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

Greatest Common Factor of 536,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,902 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 902

:

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 536,902 . The biggest common factor number is the GCF number.
So the greatest common factor 536,902 is 2.

Lets's calculate LCM of 997,864

Lowest Common Multiple of 997,864 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 861408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/861408

Therefore, the GCF of Fractions 536/997,902/864 is 2/861408

Least Common Multiple of 997,864 with GCF Formula

Least Common Multiple of 997,864 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 997,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,864) = 1

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

GCF(997,864) x common factors =1 x 1 = 1

LCM(997,864) = ( 997 × 864 ) / 1

LCM(997,864) = 861408 / 1

LCM(997,864) = 861408


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FAQs on GCF of Fractions of 536/997, 902/864

1. What is the HCF of 536,902?

The HCF of 536,902 is 2

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 536/997, 902/864?

Answer: GCF of Numerators as per given numbers 536/997, 902/864 is

GCF of Numerators i.e. for 536,902 is 2

LCM of denominators i.e. for 997,864 is 861408.

Thus, GCF of Fractions is 2/861408.Finally, GCF of Fractions for 536/997, 902/864 is 2/861408.