How to Find GCF of 4671/440, 9052/9578?

GCF of 4671/440, 9052/9578

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 4671/440, 9052/9578 i.e 1/2107160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4671/440, 9052/9578.

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 4671/440,9052/9578?

Given fractions are 4671/440,9052/9578

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 4671/440,9052/9578, numerators are 4671,9052

Denominators are 440,9578

The GCF of 4671,9052 is 1 .

LCM of 440,9578 is 2107160.

The greatest common factor of 4671/440,9052/9578 = [GCF of 4671,9052]/[LCM of 440,9578]= 1/2107160

Therefore, the GCF of 4671/440,9052/9578 is 1/2107160.

Greatest Common Factor of 4671,9052

To find the highest common factor of 4671,9052, we have to find the factors of both numbers and list the highest common factor.

The factors of 4671 are 1, 3, 9, 27, 173, 519, 1557, 4671

The factors of 9052 are 1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526, 9052

The HCF of 4671,9052 is 1.

Lets's calculate GCF of 4671,9052

Greatest Common Factor (GCF) of 4671,9052 By Common Division

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

Greatest Common Factor of 4671,9052 By Matching Biggest Common Factor Method

Now, list down the factors of 4671

1,3,9,27,173,519,1557,4671

Now, list down the factors of 9052

1,2,4,31,62,73,124,146,292,2263,4526,9052

Greatest Common Factor

We found the factors 4671,9052 . The biggest common factor number is the GCF number.
So the greatest common factor 4671,9052 is 1.

Lets's calculate LCM of 440,9578

Lowest Common Multiple of 440,9578 using Common Division

2	440, 9578
	220, 4789

∴ So the LCM of the given numbers is 2 x 220 x 4789 = 2107160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2107160

Therefore, the GCF of Fractions 4671/440,9052/9578 is 1/2107160

Least Common Multiple of 440,9578 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 440,9578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,9578) = 2

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

GCF(440,9578) x common factors =2 x 1 = 2

LCM(440,9578) = ( 440 × 9578 ) / 2

LCM(440,9578) = 4214320 / 2

LCM(440,9578) = 2107160

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FAQs on GCF of Fractions of 4671/440, 9052/9578

1. What is the HCF of 4671,9052?

The HCF of 4671,9052 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 4671/440, 9052/9578?

Answer: GCF of Numerators as per given numbers 4671/440, 9052/9578 is

GCF of Numerators i.e. for 4671,9052 is 1

LCM of denominators i.e. for 440,9578 is 2107160.

Thus, GCF of Fractions is 1/2107160.Finally, GCF of Fractions for 4671/440, 9052/9578 is 1/2107160.