How to Find GCF of 227/516, 2844/5749?

GCF of 227/516, 2844/5749

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 227/516, 2844/5749 i.e 1/2966484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 227/516, 2844/5749.

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 227/516,2844/5749?

Given fractions are 227/516,2844/5749

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 227/516,2844/5749, numerators are 227,2844

Denominators are 516,5749

The GCF of 227,2844 is 1 .

LCM of 516,5749 is 2966484.

The greatest common factor of 227/516,2844/5749 = [GCF of 227,2844]/[LCM of 516,5749]= 1/2966484

Therefore, the GCF of 227/516,2844/5749 is 1/2966484.

Greatest Common Factor of 227,2844

To find the highest common factor of 227,2844, we have to find the factors of both numbers and list the highest common factor.

The factors of 227 are 1, 227

The factors of 2844 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 79, 158, 237, 316, 474, 711, 948, 1422, 2844

The HCF of 227,2844 is 1.

Lets's calculate GCF of 227,2844

Greatest Common Factor (GCF) of 227,2844 By Common Division

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

Greatest Common Factor of 227,2844 By Matching Biggest Common Factor Method

Now, list down the factors of 227

1,227

Now, list down the factors of 2844

1,2,3,4,6,9,12,18,36,79,158,237,316,474,711,948,1422,2844

Greatest Common Factor

We found the factors 227,2844 . The biggest common factor number is the GCF number.
So the greatest common factor 227,2844 is 1.

Lets's calculate LCM of 516,5749

Lowest Common Multiple of 516,5749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2966484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2966484

Therefore, the GCF of Fractions 227/516,2844/5749 is 1/2966484

Least Common Multiple of 516,5749 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 516,5749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,5749) = 1

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

GCF(516,5749) x common factors =1 x 1 = 1

LCM(516,5749) = ( 516 × 5749 ) / 1

LCM(516,5749) = 2966484 / 1

LCM(516,5749) = 2966484

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FAQs on GCF of Fractions of 227/516, 2844/5749

1. What is the HCF of 227,2844?

The HCF of 227,2844 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 227/516, 2844/5749?

Answer: GCF of Numerators as per given numbers 227/516, 2844/5749 is

GCF of Numerators i.e. for 227,2844 is 1

LCM of denominators i.e. for 516,5749 is 2966484.

Thus, GCF of Fractions is 1/2966484.Finally, GCF of Fractions for 227/516, 2844/5749 is 1/2966484.