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GCF of 516/25, 345/2092

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 516/25, 345/2092 i.e 3/52300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 516/25, 345/2092.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 516/25,345/2092?

Given fractions are 516/25,345/2092

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 516/25,345/2092, numerators are 516,345

Denominators are 25,2092

The GCF of 516,345 is 3 .

LCM of 25,2092 is 52300.

The greatest common factor of 516/25,345/2092 = [GCF of 516,345]/[LCM of 25,2092]= 3/52300

Therefore, the GCF of 516/25,345/2092 is 3/52300.

Greatest Common Factor of 516,345

To find the highest common factor of 516,345, we have to find the factors of both numbers and list the highest common factor.

The factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345

The HCF of 516,345 is 3.

Lets's calculate GCF of 516,345

Greatest Common Factor (GCF) of 516,345 By Common Division

3 516, 345
172, 115

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 516,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,345 By Matching Biggest Common Factor Method

Now, list down the factors of 516

:

1,2,3,4,6,12,43,86,129,172,258,516

Now, list down the factors of 345

:

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 516,345 . The biggest common factor number is the GCF number.
So the greatest common factor 516,345 is 3.

Lets's calculate LCM of 25,2092

Lowest Common Multiple of 25,2092 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 52300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/52300

Therefore, the GCF of Fractions 516/25,345/2092 is 3/52300

Least Common Multiple of 25,2092 with GCF Formula

Least Common Multiple of 25,2092 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 25,2092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,2092) = 1

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

GCF(25,2092) x common factors =1 x 1 = 1

LCM(25,2092) = ( 25 × 2092 ) / 1

LCM(25,2092) = 52300 / 1

LCM(25,2092) = 52300


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FAQs on GCF of Fractions of 516/25, 345/2092

1. What is the HCF of 516,345?

The HCF of 516,345 is 3

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 516/25, 345/2092?

Answer: GCF of Numerators as per given numbers 516/25, 345/2092 is

GCF of Numerators i.e. for 516,345 is 3

LCM of denominators i.e. for 25,2092 is 52300.

Thus, GCF of Fractions is 3/52300.Finally, GCF of Fractions for 516/25, 345/2092 is 3/52300.