How to Find GCF of 2545/516, 4507/616?

GCF of 2545/516, 4507/616

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 2545/516, 4507/616 i.e 1/79464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2545/516, 4507/616.

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 2545/516,4507/616?

Given fractions are 2545/516,4507/616

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 2545/516,4507/616, numerators are 2545,4507

Denominators are 516,616

The GCF of 2545,4507 is 1 .

LCM of 516,616 is 79464.

The greatest common factor of 2545/516,4507/616 = [GCF of 2545,4507]/[LCM of 516,616]= 1/79464

Therefore, the GCF of 2545/516,4507/616 is 1/79464.

Greatest Common Factor of 2545,4507

To find the highest common factor of 2545,4507, we have to find the factors of both numbers and list the highest common factor.

The factors of 2545 are 1, 5, 509, 2545

The factors of 4507 are 1, 4507

The HCF of 2545,4507 is 1.

Lets's calculate GCF of 2545,4507

Greatest Common Factor (GCF) of 2545,4507 By Common Division

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

Greatest Common Factor of 2545,4507 By Matching Biggest Common Factor Method

Now, list down the factors of 2545

1,5,509,2545

Now, list down the factors of 4507

1,4507

Greatest Common Factor

We found the factors 2545,4507 . The biggest common factor number is the GCF number.
So the greatest common factor 2545,4507 is 1.

Lets's calculate LCM of 516,616

Lowest Common Multiple of 516,616 using Common Division

2	516, 616
2	258, 308
	129, 154

∴ So the LCM of the given numbers is 2 x 2 x 129 x 154 = 79464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79464

Therefore, the GCF of Fractions 2545/516,4507/616 is 1/79464

Least Common Multiple of 516,616 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 516,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,616) = 4

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

GCF(516,616) x common factors =4 x 1 = 4

LCM(516,616) = ( 516 × 616 ) / 4

LCM(516,616) = 317856 / 4

LCM(516,616) = 79464

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FAQs on GCF of Fractions of 2545/516, 4507/616

1. What is the HCF of 2545,4507?

The HCF of 2545,4507 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 2545/516, 4507/616?

Answer: GCF of Numerators as per given numbers 2545/516, 4507/616 is

GCF of Numerators i.e. for 2545,4507 is 1

LCM of denominators i.e. for 516,616 is 79464.

Thus, GCF of Fractions is 1/79464.Finally, GCF of Fractions for 2545/516, 4507/616 is 1/79464.