How to Find GCF of 4157/228, 6644/9454?

GCF of 4157/228, 6644/9454

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 4157/228, 6644/9454 i.e 1/1077756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4157/228, 6644/9454.

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 4157/228,6644/9454?

Given fractions are 4157/228,6644/9454

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 4157/228,6644/9454, numerators are 4157,6644

Denominators are 228,9454

The GCF of 4157,6644 is 1 .

LCM of 228,9454 is 1077756.

The greatest common factor of 4157/228,6644/9454 = [GCF of 4157,6644]/[LCM of 228,9454]= 1/1077756

Therefore, the GCF of 4157/228,6644/9454 is 1/1077756.

Greatest Common Factor of 4157,6644

To find the highest common factor of 4157,6644, we have to find the factors of both numbers and list the highest common factor.

The factors of 4157 are 1, 4157

The factors of 6644 are 1, 2, 4, 11, 22, 44, 151, 302, 604, 1661, 3322, 6644

The HCF of 4157,6644 is 1.

Lets's calculate GCF of 4157,6644

Greatest Common Factor (GCF) of 4157,6644 By Common Division

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

Greatest Common Factor of 4157,6644 By Matching Biggest Common Factor Method

Now, list down the factors of 4157

1,4157

Now, list down the factors of 6644

1,2,4,11,22,44,151,302,604,1661,3322,6644

Greatest Common Factor

We found the factors 4157,6644 . The biggest common factor number is the GCF number.
So the greatest common factor 4157,6644 is 1.

Lets's calculate LCM of 228,9454

Lowest Common Multiple of 228,9454 using Common Division

2	228, 9454
	114, 4727

∴ So the LCM of the given numbers is 2 x 114 x 4727 = 1077756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1077756

Therefore, the GCF of Fractions 4157/228,6644/9454 is 1/1077756

Least Common Multiple of 228,9454 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 228,9454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,9454) = 2

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

GCF(228,9454) x common factors =2 x 1 = 2

LCM(228,9454) = ( 228 × 9454 ) / 2

LCM(228,9454) = 2155512 / 2

LCM(228,9454) = 1077756

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FAQs on GCF of Fractions of 4157/228, 6644/9454

1. What is the HCF of 4157,6644?

The HCF of 4157,6644 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 4157/228, 6644/9454?

Answer: GCF of Numerators as per given numbers 4157/228, 6644/9454 is

GCF of Numerators i.e. for 4157,6644 is 1

LCM of denominators i.e. for 228,9454 is 1077756.

Thus, GCF of Fractions is 1/1077756.Finally, GCF of Fractions for 4157/228, 6644/9454 is 1/1077756.