How to Find GCF of 4053/142, 8623/3658?

GCF of 4053/142, 8623/3658

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 4053/142, 8623/3658 i.e 1/259718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4053/142, 8623/3658.

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 4053/142,8623/3658?

Given fractions are 4053/142,8623/3658

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 4053/142,8623/3658, numerators are 4053,8623

Denominators are 142,3658

The GCF of 4053,8623 is 1 .

LCM of 142,3658 is 259718.

The greatest common factor of 4053/142,8623/3658 = [GCF of 4053,8623]/[LCM of 142,3658]= 1/259718

Therefore, the GCF of 4053/142,8623/3658 is 1/259718.

Greatest Common Factor of 4053,8623

To find the highest common factor of 4053,8623, we have to find the factors of both numbers and list the highest common factor.

The factors of 4053 are 1, 3, 7, 21, 193, 579, 1351, 4053

The factors of 8623 are 1, 8623

The HCF of 4053,8623 is 1.

Lets's calculate GCF of 4053,8623

Greatest Common Factor (GCF) of 4053,8623 By Common Division

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

Greatest Common Factor of 4053,8623 By Matching Biggest Common Factor Method

Now, list down the factors of 4053

1,3,7,21,193,579,1351,4053

Now, list down the factors of 8623

1,8623

Greatest Common Factor

We found the factors 4053,8623 . The biggest common factor number is the GCF number.
So the greatest common factor 4053,8623 is 1.

Lets's calculate LCM of 142,3658

Lowest Common Multiple of 142,3658 using Common Division

2	142, 3658
	71, 1829

∴ So the LCM of the given numbers is 2 x 71 x 1829 = 259718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/259718

Therefore, the GCF of Fractions 4053/142,8623/3658 is 1/259718

Least Common Multiple of 142,3658 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 142,3658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,3658) = 2

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

GCF(142,3658) x common factors =2 x 1 = 2

LCM(142,3658) = ( 142 × 3658 ) / 2

LCM(142,3658) = 519436 / 2

LCM(142,3658) = 259718

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FAQs on GCF of Fractions of 4053/142, 8623/3658

1. What is the HCF of 4053,8623?

The HCF of 4053,8623 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 4053/142, 8623/3658?

Answer: GCF of Numerators as per given numbers 4053/142, 8623/3658 is

GCF of Numerators i.e. for 4053,8623 is 1

LCM of denominators i.e. for 142,3658 is 259718.

Thus, GCF of Fractions is 1/259718.Finally, GCF of Fractions for 4053/142, 8623/3658 is 1/259718.