How to Find GCF of 4479/200, 2854/6152?

GCF of 4479/200, 2854/6152

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 4479/200, 2854/6152 i.e 1/153800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4479/200, 2854/6152.

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 4479/200,2854/6152?

Given fractions are 4479/200,2854/6152

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 4479/200,2854/6152, numerators are 4479,2854

Denominators are 200,6152

The GCF of 4479,2854 is 1 .

LCM of 200,6152 is 153800.

The greatest common factor of 4479/200,2854/6152 = [GCF of 4479,2854]/[LCM of 200,6152]= 1/153800

Therefore, the GCF of 4479/200,2854/6152 is 1/153800.

Greatest Common Factor of 4479,2854

To find the highest common factor of 4479,2854, we have to find the factors of both numbers and list the highest common factor.

The factors of 4479 are 1, 3, 1493, 4479

The factors of 2854 are 1, 2, 1427, 2854

The HCF of 4479,2854 is 1.

Lets's calculate GCF of 4479,2854

Greatest Common Factor (GCF) of 4479,2854 By Common Division

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

Greatest Common Factor of 4479,2854 By Matching Biggest Common Factor Method

Now, list down the factors of 4479

1,3,1493,4479

Now, list down the factors of 2854

1,2,1427,2854

Greatest Common Factor

We found the factors 4479,2854 . The biggest common factor number is the GCF number.
So the greatest common factor 4479,2854 is 1.

Lets's calculate LCM of 200,6152

Lowest Common Multiple of 200,6152 using Common Division

2	200, 6152
2	100, 3076
2	50, 1538
	25, 769

∴ So the LCM of the given numbers is 2 x 2 x 2 x 25 x 769 = 153800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153800

Therefore, the GCF of Fractions 4479/200,2854/6152 is 1/153800

Least Common Multiple of 200,6152 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 200,6152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,6152) = 8

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

GCF(200,6152) x common factors =8 x 1 = 8

LCM(200,6152) = ( 200 × 6152 ) / 8

LCM(200,6152) = 1230400 / 8

LCM(200,6152) = 153800

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FAQs on GCF of Fractions of 4479/200, 2854/6152

1. What is the HCF of 4479,2854?

The HCF of 4479,2854 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 4479/200, 2854/6152?

Answer: GCF of Numerators as per given numbers 4479/200, 2854/6152 is

GCF of Numerators i.e. for 4479,2854 is 1

LCM of denominators i.e. for 200,6152 is 153800.

Thus, GCF of Fractions is 1/153800.Finally, GCF of Fractions for 4479/200, 2854/6152 is 1/153800.