How to Find GCF of 2567/536, 1193/6528?

GCF of 2567/536, 1193/6528

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 2567/536, 1193/6528 i.e 1/437376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2567/536, 1193/6528.

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 2567/536,1193/6528?

Given fractions are 2567/536,1193/6528

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 2567/536,1193/6528, numerators are 2567,1193

Denominators are 536,6528

The GCF of 2567,1193 is 1 .

LCM of 536,6528 is 437376.

The greatest common factor of 2567/536,1193/6528 = [GCF of 2567,1193]/[LCM of 536,6528]= 1/437376

Therefore, the GCF of 2567/536,1193/6528 is 1/437376.

Greatest Common Factor of 2567,1193

To find the highest common factor of 2567,1193, we have to find the factors of both numbers and list the highest common factor.

The factors of 2567 are 1, 17, 151, 2567

The factors of 1193 are 1, 1193

The HCF of 2567,1193 is 1.

Lets's calculate GCF of 2567,1193

Greatest Common Factor (GCF) of 2567,1193 By Common Division

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

Greatest Common Factor of 2567,1193 By Matching Biggest Common Factor Method

Now, list down the factors of 2567

1,17,151,2567

Now, list down the factors of 1193

1,1193

Greatest Common Factor

We found the factors 2567,1193 . The biggest common factor number is the GCF number.
So the greatest common factor 2567,1193 is 1.

Lets's calculate LCM of 536,6528

Lowest Common Multiple of 536,6528 using Common Division

2	536, 6528
2	268, 3264
2	134, 1632
	67, 816

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 816 = 437376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/437376

Therefore, the GCF of Fractions 2567/536,1193/6528 is 1/437376

Least Common Multiple of 536,6528 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 536,6528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,6528) = 8

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

GCF(536,6528) x common factors =8 x 1 = 8

LCM(536,6528) = ( 536 × 6528 ) / 8

LCM(536,6528) = 3499008 / 8

LCM(536,6528) = 437376

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FAQs on GCF of Fractions of 2567/536, 1193/6528

1. What is the HCF of 2567,1193?

The HCF of 2567,1193 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 2567/536, 1193/6528?

Answer: GCF of Numerators as per given numbers 2567/536, 1193/6528 is

GCF of Numerators i.e. for 2567,1193 is 1

LCM of denominators i.e. for 536,6528 is 437376.

Thus, GCF of Fractions is 1/437376.Finally, GCF of Fractions for 2567/536, 1193/6528 is 1/437376.