How to Find GCF of 2894/967, 5588/6820?

GCF of 2894/967, 5588/6820

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 2894/967, 5588/6820 i.e 2/6594940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2894/967, 5588/6820.

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 2894/967,5588/6820?

Given fractions are 2894/967,5588/6820

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 2894/967,5588/6820, numerators are 2894,5588

Denominators are 967,6820

The GCF of 2894,5588 is 2 .

LCM of 967,6820 is 6594940.

The greatest common factor of 2894/967,5588/6820 = [GCF of 2894,5588]/[LCM of 967,6820]= 2/6594940

Therefore, the GCF of 2894/967,5588/6820 is 2/6594940.

Greatest Common Factor of 2894,5588

To find the highest common factor of 2894,5588, we have to find the factors of both numbers and list the highest common factor.

The factors of 2894 are 1, 2, 1447, 2894

The factors of 5588 are 1, 2, 4, 11, 22, 44, 127, 254, 508, 1397, 2794, 5588

The HCF of 2894,5588 is 2.

Lets's calculate GCF of 2894,5588

Greatest Common Factor (GCF) of 2894,5588 By Common Division

2	2894, 5588
	1447, 2794

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

Greatest Common Factor of 2894,5588 By Matching Biggest Common Factor Method

Now, list down the factors of 2894

1,2,1447,2894

Now, list down the factors of 5588

1,2,4,11,22,44,127,254,508,1397,2794,5588

Greatest Common Factor

We found the factors 2894,5588 . The biggest common factor number is the GCF number.
So the greatest common factor 2894,5588 is 2.

Lets's calculate LCM of 967,6820

Lowest Common Multiple of 967,6820 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6594940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6594940

Therefore, the GCF of Fractions 2894/967,5588/6820 is 2/6594940

Least Common Multiple of 967,6820 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 967,6820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,6820) = 1

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

GCF(967,6820) x common factors =1 x 1 = 1

LCM(967,6820) = ( 967 × 6820 ) / 1

LCM(967,6820) = 6594940 / 1

LCM(967,6820) = 6594940

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FAQs on GCF of Fractions of 2894/967, 5588/6820

1. What is the HCF of 2894,5588?

The HCF of 2894,5588 is 2

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 2894/967, 5588/6820?

Answer: GCF of Numerators as per given numbers 2894/967, 5588/6820 is

GCF of Numerators i.e. for 2894,5588 is 2

LCM of denominators i.e. for 967,6820 is 6594940.

Thus, GCF of Fractions is 2/6594940.Finally, GCF of Fractions for 2894/967, 5588/6820 is 2/6594940.