How to Find GCF of 716/142, 5736/4309?

GCF of 716/142, 5736/4309

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 716/142, 5736/4309 i.e 4/611878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/142, 5736/4309.

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 716/142,5736/4309?

Given fractions are 716/142,5736/4309

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 716/142,5736/4309, numerators are 716,5736

Denominators are 142,4309

The GCF of 716,5736 is 4 .

LCM of 142,4309 is 611878.

The greatest common factor of 716/142,5736/4309 = [GCF of 716,5736]/[LCM of 142,4309]= 4/611878

Therefore, the GCF of 716/142,5736/4309 is 4/611878.

Greatest Common Factor of 716,5736

To find the highest common factor of 716,5736, we have to find the factors of both numbers and list the highest common factor.

The factors of 716 are 1, 2, 4, 179, 358, 716

The factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736

The HCF of 716,5736 is 4.

Lets's calculate GCF of 716,5736

Greatest Common Factor (GCF) of 716,5736 By Common Division

2	716, 5736
2	358, 2868
	179, 1434

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 716,5736 By Matching Biggest Common Factor Method

Now, list down the factors of 716

1,2,4,179,358,716

Now, list down the factors of 5736

1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736

Greatest Common Factor

We found the factors 716,5736 . The biggest common factor number is the GCF number.
So the greatest common factor 716,5736 is 4.

Lets's calculate LCM of 142,4309

Lowest Common Multiple of 142,4309 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 611878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/611878

Therefore, the GCF of Fractions 716/142,5736/4309 is 4/611878

Least Common Multiple of 142,4309 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 142,4309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,4309) = 1

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

GCF(142,4309) x common factors =1 x 1 = 1

LCM(142,4309) = ( 142 × 4309 ) / 1

LCM(142,4309) = 611878 / 1

LCM(142,4309) = 611878

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FAQs on GCF of Fractions of 716/142, 5736/4309

1. What is the HCF of 716,5736?

The HCF of 716,5736 is 4

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 716/142, 5736/4309?

Answer: GCF of Numerators as per given numbers 716/142, 5736/4309 is

GCF of Numerators i.e. for 716,5736 is 4

LCM of denominators i.e. for 142,4309 is 611878.

Thus, GCF of Fractions is 4/611878.Finally, GCF of Fractions for 716/142, 5736/4309 is 4/611878.