How to Find GCF of 4376/142, 9859/4356?

GCF of 4376/142, 9859/4356

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 4376/142, 9859/4356 i.e 1/309276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4376/142, 9859/4356.

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 4376/142,9859/4356?

Given fractions are 4376/142,9859/4356

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 4376/142,9859/4356, numerators are 4376,9859

Denominators are 142,4356

The GCF of 4376,9859 is 1 .

LCM of 142,4356 is 309276.

The greatest common factor of 4376/142,9859/4356 = [GCF of 4376,9859]/[LCM of 142,4356]= 1/309276

Therefore, the GCF of 4376/142,9859/4356 is 1/309276.

Greatest Common Factor of 4376,9859

To find the highest common factor of 4376,9859, we have to find the factors of both numbers and list the highest common factor.

The factors of 4376 are 1, 2, 4, 8, 547, 1094, 2188, 4376

The factors of 9859 are 1, 9859

The HCF of 4376,9859 is 1.

Lets's calculate GCF of 4376,9859

Greatest Common Factor (GCF) of 4376,9859 By Common Division

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

Greatest Common Factor of 4376,9859 By Matching Biggest Common Factor Method

Now, list down the factors of 4376

1,2,4,8,547,1094,2188,4376

Now, list down the factors of 9859

1,9859

Greatest Common Factor

We found the factors 4376,9859 . The biggest common factor number is the GCF number.
So the greatest common factor 4376,9859 is 1.

Lets's calculate LCM of 142,4356

Lowest Common Multiple of 142,4356 using Common Division

2	142, 4356
	71, 2178

∴ So the LCM of the given numbers is 2 x 71 x 2178 = 309276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309276

Therefore, the GCF of Fractions 4376/142,9859/4356 is 1/309276

Least Common Multiple of 142,4356 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 142,4356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,4356) = 2

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

GCF(142,4356) x common factors =2 x 1 = 2

LCM(142,4356) = ( 142 × 4356 ) / 2

LCM(142,4356) = 618552 / 2

LCM(142,4356) = 309276

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FAQs on GCF of Fractions of 4376/142, 9859/4356

1. What is the HCF of 4376,9859?

The HCF of 4376,9859 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 4376/142, 9859/4356?

Answer: GCF of Numerators as per given numbers 4376/142, 9859/4356 is

GCF of Numerators i.e. for 4376,9859 is 1

LCM of denominators i.e. for 142,4356 is 309276.

Thus, GCF of Fractions is 1/309276.Finally, GCF of Fractions for 4376/142, 9859/4356 is 1/309276.