How to Find GCF of 4119/428, 9043/8644?

GCF of 4119/428, 9043/8644

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 4119/428, 9043/8644 i.e 1/924908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4119/428, 9043/8644.

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 4119/428,9043/8644?

Given fractions are 4119/428,9043/8644

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 4119/428,9043/8644, numerators are 4119,9043

Denominators are 428,8644

The GCF of 4119,9043 is 1 .

LCM of 428,8644 is 924908.

The greatest common factor of 4119/428,9043/8644 = [GCF of 4119,9043]/[LCM of 428,8644]= 1/924908

Therefore, the GCF of 4119/428,9043/8644 is 1/924908.

Greatest Common Factor of 4119,9043

To find the highest common factor of 4119,9043, we have to find the factors of both numbers and list the highest common factor.

The factors of 4119 are 1, 3, 1373, 4119

The factors of 9043 are 1, 9043

The HCF of 4119,9043 is 1.

Lets's calculate GCF of 4119,9043

Greatest Common Factor (GCF) of 4119,9043 By Common Division

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

Greatest Common Factor of 4119,9043 By Matching Biggest Common Factor Method

Now, list down the factors of 4119

1,3,1373,4119

Now, list down the factors of 9043

1,9043

Greatest Common Factor

We found the factors 4119,9043 . The biggest common factor number is the GCF number.
So the greatest common factor 4119,9043 is 1.

Lets's calculate LCM of 428,8644

Lowest Common Multiple of 428,8644 using Common Division

2	428, 8644
2	214, 4322
	107, 2161

∴ So the LCM of the given numbers is 2 x 2 x 107 x 2161 = 924908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/924908

Therefore, the GCF of Fractions 4119/428,9043/8644 is 1/924908

Least Common Multiple of 428,8644 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 428,8644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,8644) = 4

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

GCF(428,8644) x common factors =4 x 1 = 4

LCM(428,8644) = ( 428 × 8644 ) / 4

LCM(428,8644) = 3699632 / 4

LCM(428,8644) = 924908

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FAQs on GCF of Fractions of 4119/428, 9043/8644

1. What is the HCF of 4119,9043?

The HCF of 4119,9043 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 4119/428, 9043/8644?

Answer: GCF of Numerators as per given numbers 4119/428, 9043/8644 is

GCF of Numerators i.e. for 4119,9043 is 1

LCM of denominators i.e. for 428,8644 is 924908.

Thus, GCF of Fractions is 1/924908.Finally, GCF of Fractions for 4119/428, 9043/8644 is 1/924908.