How to Find GCF of 2747/172, 9568/992?

GCF of 2747/172, 9568/992

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 2747/172, 9568/992 i.e 1/42656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2747/172, 9568/992.

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 2747/172,9568/992?

Given fractions are 2747/172,9568/992

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 2747/172,9568/992, numerators are 2747,9568

Denominators are 172,992

The GCF of 2747,9568 is 1 .

LCM of 172,992 is 42656.

The greatest common factor of 2747/172,9568/992 = [GCF of 2747,9568]/[LCM of 172,992]= 1/42656

Therefore, the GCF of 2747/172,9568/992 is 1/42656.

Greatest Common Factor of 2747,9568

To find the highest common factor of 2747,9568, we have to find the factors of both numbers and list the highest common factor.

The factors of 2747 are 1, 41, 67, 2747

The factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568

The HCF of 2747,9568 is 1.

Lets's calculate GCF of 2747,9568

Greatest Common Factor (GCF) of 2747,9568 By Common Division

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

Greatest Common Factor of 2747,9568 By Matching Biggest Common Factor Method

Now, list down the factors of 2747

1,41,67,2747

Now, list down the factors of 9568

1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568

Greatest Common Factor

We found the factors 2747,9568 . The biggest common factor number is the GCF number.
So the greatest common factor 2747,9568 is 1.

Lets's calculate LCM of 172,992

Lowest Common Multiple of 172,992 using Common Division

2	172, 992
2	86, 496
	43, 248

∴ So the LCM of the given numbers is 2 x 2 x 43 x 248 = 42656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42656

Therefore, the GCF of Fractions 2747/172,9568/992 is 1/42656

Least Common Multiple of 172,992 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 172,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,992) = 4

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

GCF(172,992) x common factors =4 x 1 = 4

LCM(172,992) = ( 172 × 992 ) / 4

LCM(172,992) = 170624 / 4

LCM(172,992) = 42656

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FAQs on GCF of Fractions of 2747/172, 9568/992

1. What is the HCF of 2747,9568?

The HCF of 2747,9568 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 2747/172, 9568/992?

Answer: GCF of Numerators as per given numbers 2747/172, 9568/992 is

GCF of Numerators i.e. for 2747,9568 is 1

LCM of denominators i.e. for 172,992 is 42656.

Thus, GCF of Fractions is 1/42656.Finally, GCF of Fractions for 2747/172, 9568/992 is 1/42656.