How to Find GCF of 3565/767, 1518/5579?

GCF of 3565/767, 1518/5579

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 3565/767, 1518/5579 i.e 23/4279093 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3565/767, 1518/5579.

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 3565/767,1518/5579?

Given fractions are 3565/767,1518/5579

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 3565/767,1518/5579, numerators are 3565,1518

Denominators are 767,5579

The GCF of 3565,1518 is 23 .

LCM of 767,5579 is 4279093.

The greatest common factor of 3565/767,1518/5579 = [GCF of 3565,1518]/[LCM of 767,5579]= 23/4279093

Therefore, the GCF of 3565/767,1518/5579 is 23/4279093.

Greatest Common Factor of 3565,1518

To find the highest common factor of 3565,1518, we have to find the factors of both numbers and list the highest common factor.

The factors of 3565 are 1, 5, 23, 31, 115, 155, 713, 3565

The factors of 1518 are 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759, 1518

The HCF of 3565,1518 is 23.

Lets's calculate GCF of 3565,1518

Greatest Common Factor (GCF) of 3565,1518 By Common Division

23	3565, 1518
	155, 66

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 3565,1518 By Matching Biggest Common Factor Method

Now, list down the factors of 3565

1,5,23,31,115,155,713,3565

Now, list down the factors of 1518

1,2,3,6,11,22,23,33,46,66,69,138,253,506,759,1518

Greatest Common Factor

We found the factors 3565,1518 . The biggest common factor number is the GCF number.
So the greatest common factor 3565,1518 is 23.

Lets's calculate LCM of 767,5579

Lowest Common Multiple of 767,5579 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4279093

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/4279093

Therefore, the GCF of Fractions 3565/767,1518/5579 is 23/4279093

Least Common Multiple of 767,5579 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 767,5579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,5579) = 1

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

GCF(767,5579) x common factors =1 x 1 = 1

LCM(767,5579) = ( 767 × 5579 ) / 1

LCM(767,5579) = 4279093 / 1

LCM(767,5579) = 4279093

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FAQs on GCF of Fractions of 3565/767, 1518/5579

1. What is the HCF of 3565,1518?

The HCF of 3565,1518 is 23

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 3565/767, 1518/5579?

Answer: GCF of Numerators as per given numbers 3565/767, 1518/5579 is

GCF of Numerators i.e. for 3565,1518 is 23

LCM of denominators i.e. for 767,5579 is 4279093.

Thus, GCF of Fractions is 23/4279093.Finally, GCF of Fractions for 3565/767, 1518/5579 is 23/4279093.