How to Find GCF of 516/491, 6168/700?

GCF of 516/491, 6168/700

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 516/491, 6168/700 i.e 12/343700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 516/491, 6168/700.

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 516/491,6168/700?

Given fractions are 516/491,6168/700

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 516/491,6168/700, numerators are 516,6168

Denominators are 491,700

The GCF of 516,6168 is 12 .

LCM of 491,700 is 343700.

The greatest common factor of 516/491,6168/700 = [GCF of 516,6168]/[LCM of 491,700]= 12/343700

Therefore, the GCF of 516/491,6168/700 is 12/343700.

Greatest Common Factor of 516,6168

To find the highest common factor of 516,6168, 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 6168 are 1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084, 6168

The HCF of 516,6168 is 12.

Lets's calculate GCF of 516,6168

Greatest Common Factor (GCF) of 516,6168 By Common Division

2	516, 6168
2	258, 3084
3	129, 1542
	43, 514

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 516,6168 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 6168

1,2,3,4,6,8,12,24,257,514,771,1028,1542,2056,3084,6168

Greatest Common Factor

We found the factors 516,6168 . The biggest common factor number is the GCF number.
So the greatest common factor 516,6168 is 12.

Lets's calculate LCM of 491,700

Lowest Common Multiple of 491,700 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 343700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/343700

Therefore, the GCF of Fractions 516/491,6168/700 is 12/343700

Least Common Multiple of 491,700 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 491,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,700) = 1

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

GCF(491,700) x common factors =1 x 1 = 1

LCM(491,700) = ( 491 × 700 ) / 1

LCM(491,700) = 343700 / 1

LCM(491,700) = 343700

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FAQs on GCF of Fractions of 516/491, 6168/700

1. What is the HCF of 516,6168?

The HCF of 516,6168 is 12

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 516/491, 6168/700?

Answer: GCF of Numerators as per given numbers 516/491, 6168/700 is

GCF of Numerators i.e. for 516,6168 is 12

LCM of denominators i.e. for 491,700 is 343700.

Thus, GCF of Fractions is 12/343700.Finally, GCF of Fractions for 516/491, 6168/700 is 12/343700.