How to Find GCF of 4298/958, 5746/8601?

GCF of 4298/958, 5746/8601

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 4298/958, 5746/8601 i.e 2/8239758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4298/958, 5746/8601.

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 4298/958,5746/8601?

Given fractions are 4298/958,5746/8601

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 4298/958,5746/8601, numerators are 4298,5746

Denominators are 958,8601

The GCF of 4298,5746 is 2 .

LCM of 958,8601 is 8239758.

The greatest common factor of 4298/958,5746/8601 = [GCF of 4298,5746]/[LCM of 958,8601]= 2/8239758

Therefore, the GCF of 4298/958,5746/8601 is 2/8239758.

Greatest Common Factor of 4298,5746

To find the highest common factor of 4298,5746, we have to find the factors of both numbers and list the highest common factor.

The factors of 4298 are 1, 2, 7, 14, 307, 614, 2149, 4298

The factors of 5746 are 1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746

The HCF of 4298,5746 is 2.

Lets's calculate GCF of 4298,5746

Greatest Common Factor (GCF) of 4298,5746 By Common Division

2	4298, 5746
	2149, 2873

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4298,5746 By Matching Biggest Common Factor Method

Now, list down the factors of 4298

1,2,7,14,307,614,2149,4298

Now, list down the factors of 5746

1,2,13,17,26,34,169,221,338,442,2873,5746

Greatest Common Factor

We found the factors 4298,5746 . The biggest common factor number is the GCF number.
So the greatest common factor 4298,5746 is 2.

Lets's calculate LCM of 958,8601

Lowest Common Multiple of 958,8601 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8239758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8239758

Therefore, the GCF of Fractions 4298/958,5746/8601 is 2/8239758

Least Common Multiple of 958,8601 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 958,8601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,8601) = 1

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

GCF(958,8601) x common factors =1 x 1 = 1

LCM(958,8601) = ( 958 × 8601 ) / 1

LCM(958,8601) = 8239758 / 1

LCM(958,8601) = 8239758

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FAQs on GCF of Fractions of 4298/958, 5746/8601

1. What is the HCF of 4298,5746?

The HCF of 4298,5746 is 2

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 4298/958, 5746/8601?

Answer: GCF of Numerators as per given numbers 4298/958, 5746/8601 is

GCF of Numerators i.e. for 4298,5746 is 2

LCM of denominators i.e. for 958,8601 is 8239758.

Thus, GCF of Fractions is 2/8239758.Finally, GCF of Fractions for 4298/958, 5746/8601 is 2/8239758.