How to Find GCF of 5767/528, 1911/2560?

GCF of 5767/528, 1911/2560

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 5767/528, 1911/2560 i.e 1/84480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5767/528, 1911/2560.

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 5767/528,1911/2560?

Given fractions are 5767/528,1911/2560

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 5767/528,1911/2560, numerators are 5767,1911

Denominators are 528,2560

The GCF of 5767,1911 is 1 .

LCM of 528,2560 is 84480.

The greatest common factor of 5767/528,1911/2560 = [GCF of 5767,1911]/[LCM of 528,2560]= 1/84480

Therefore, the GCF of 5767/528,1911/2560 is 1/84480.

Greatest Common Factor of 5767,1911

To find the highest common factor of 5767,1911, we have to find the factors of both numbers and list the highest common factor.

The factors of 5767 are 1, 73, 79, 5767

The factors of 1911 are 1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 637, 1911

The HCF of 5767,1911 is 1.

Lets's calculate GCF of 5767,1911

Greatest Common Factor (GCF) of 5767,1911 By Common Division

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

Greatest Common Factor of 5767,1911 By Matching Biggest Common Factor Method

Now, list down the factors of 5767

1,73,79,5767

Now, list down the factors of 1911

1,3,7,13,21,39,49,91,147,273,637,1911

Greatest Common Factor

We found the factors 5767,1911 . The biggest common factor number is the GCF number.
So the greatest common factor 5767,1911 is 1.

Lets's calculate LCM of 528,2560

Lowest Common Multiple of 528,2560 using Common Division

2	528, 2560
2	264, 1280
2	132, 640
2	66, 320
	33, 160

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 33 x 160 = 84480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84480

Therefore, the GCF of Fractions 5767/528,1911/2560 is 1/84480

Least Common Multiple of 528,2560 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 528,2560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,2560) = 16

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

GCF(528,2560) x common factors =16 x 1 = 16

LCM(528,2560) = ( 528 × 2560 ) / 16

LCM(528,2560) = 1351680 / 16

LCM(528,2560) = 84480

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FAQs on GCF of Fractions of 5767/528, 1911/2560

1. What is the HCF of 5767,1911?

The HCF of 5767,1911 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 5767/528, 1911/2560?

Answer: GCF of Numerators as per given numbers 5767/528, 1911/2560 is

GCF of Numerators i.e. for 5767,1911 is 1

LCM of denominators i.e. for 528,2560 is 84480.

Thus, GCF of Fractions is 1/84480.Finally, GCF of Fractions for 5767/528, 1911/2560 is 1/84480.