How to Find GCF of 5556/959, 5946/4145?

GCF of 5556/959, 5946/4145

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 5556/959, 5946/4145 i.e 6/3975055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5556/959, 5946/4145.

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 5556/959,5946/4145?

Given fractions are 5556/959,5946/4145

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 5556/959,5946/4145, numerators are 5556,5946

Denominators are 959,4145

The GCF of 5556,5946 is 6 .

LCM of 959,4145 is 3975055.

The greatest common factor of 5556/959,5946/4145 = [GCF of 5556,5946]/[LCM of 959,4145]= 6/3975055

Therefore, the GCF of 5556/959,5946/4145 is 6/3975055.

Greatest Common Factor of 5556,5946

To find the highest common factor of 5556,5946, we have to find the factors of both numbers and list the highest common factor.

The factors of 5556 are 1, 2, 3, 4, 6, 12, 463, 926, 1389, 1852, 2778, 5556

The factors of 5946 are 1, 2, 3, 6, 991, 1982, 2973, 5946

The HCF of 5556,5946 is 6.

Lets's calculate GCF of 5556,5946

Greatest Common Factor (GCF) of 5556,5946 By Common Division

2	5556, 5946
3	2778, 2973
	926, 991

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5556,5946 By Matching Biggest Common Factor Method

Now, list down the factors of 5556

1,2,3,4,6,12,463,926,1389,1852,2778,5556

Now, list down the factors of 5946

1,2,3,6,991,1982,2973,5946

Greatest Common Factor

We found the factors 5556,5946 . The biggest common factor number is the GCF number.
So the greatest common factor 5556,5946 is 6.

Lets's calculate LCM of 959,4145

Lowest Common Multiple of 959,4145 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3975055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3975055

Therefore, the GCF of Fractions 5556/959,5946/4145 is 6/3975055

Least Common Multiple of 959,4145 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 959,4145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,4145) = 1

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

GCF(959,4145) x common factors =1 x 1 = 1

LCM(959,4145) = ( 959 × 4145 ) / 1

LCM(959,4145) = 3975055 / 1

LCM(959,4145) = 3975055

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5556/959, 5946/4145

1. What is the HCF of 5556,5946?

The HCF of 5556,5946 is 6

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 5556/959, 5946/4145?

Answer: GCF of Numerators as per given numbers 5556/959, 5946/4145 is

GCF of Numerators i.e. for 5556,5946 is 6

LCM of denominators i.e. for 959,4145 is 3975055.

Thus, GCF of Fractions is 6/3975055.Finally, GCF of Fractions for 5556/959, 5946/4145 is 6/3975055.