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GCF of 516/586, 103/704

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 516/586, 103/704 i.e 1/206272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 516/586, 103/704.

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 516/586,103/704?

Given fractions are 516/586,103/704

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 516/586,103/704, numerators are 516,103

Denominators are 586,704

The GCF of 516,103 is 1 .

LCM of 586,704 is 206272.

The greatest common factor of 516/586,103/704 = [GCF of 516,103]/[LCM of 586,704]= 1/206272

Therefore, the GCF of 516/586,103/704 is 1/206272.

Greatest Common Factor of 516,103

To find the highest common factor of 516,103, 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 103 are 1, 103

The HCF of 516,103 is 1.

Lets's calculate GCF of 516,103

Greatest Common Factor (GCF) of 516,103 By Common Division

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

Greatest Common Factor of 516,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,103 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 103

:

1,103

Greatest Common Factor

We found the factors 516,103 . The biggest common factor number is the GCF number.
So the greatest common factor 516,103 is 1.

Lets's calculate LCM of 586,704

Lowest Common Multiple of 586,704 using Common Division

2 586, 704
293, 352

∴ So the LCM of the given numbers is 2 x 293 x 352 = 206272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206272

Therefore, the GCF of Fractions 516/586,103/704 is 1/206272

Least Common Multiple of 586,704 with GCF Formula

Least Common Multiple of 586,704 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 586,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,704) = 2

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

GCF(586,704) x common factors =2 x 1 = 2

LCM(586,704) = ( 586 × 704 ) / 2

LCM(586,704) = 412544 / 2

LCM(586,704) = 206272


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FAQs on GCF of Fractions of 516/586, 103/704

1. What is the HCF of 516,103?

The HCF of 516,103 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 516/586, 103/704?

Answer: GCF of Numerators as per given numbers 516/586, 103/704 is

GCF of Numerators i.e. for 516,103 is 1

LCM of denominators i.e. for 586,704 is 206272.

Thus, GCF of Fractions is 1/206272.Finally, GCF of Fractions for 516/586, 103/704 is 1/206272.