How to Find GCF of 4457/439, 7898/2584?

GCF of 4457/439, 7898/2584

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 4457/439, 7898/2584 i.e 1/1134376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4457/439, 7898/2584.

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 4457/439,7898/2584?

Given fractions are 4457/439,7898/2584

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 4457/439,7898/2584, numerators are 4457,7898

Denominators are 439,2584

The GCF of 4457,7898 is 1 .

LCM of 439,2584 is 1134376.

The greatest common factor of 4457/439,7898/2584 = [GCF of 4457,7898]/[LCM of 439,2584]= 1/1134376

Therefore, the GCF of 4457/439,7898/2584 is 1/1134376.

Greatest Common Factor of 4457,7898

To find the highest common factor of 4457,7898, we have to find the factors of both numbers and list the highest common factor.

The factors of 4457 are 1, 4457

The factors of 7898 are 1, 2, 11, 22, 359, 718, 3949, 7898

The HCF of 4457,7898 is 1.

Lets's calculate GCF of 4457,7898

Greatest Common Factor (GCF) of 4457,7898 By Common Division

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

Greatest Common Factor of 4457,7898 By Matching Biggest Common Factor Method

Now, list down the factors of 4457

1,4457

Now, list down the factors of 7898

1,2,11,22,359,718,3949,7898

Greatest Common Factor

We found the factors 4457,7898 . The biggest common factor number is the GCF number.
So the greatest common factor 4457,7898 is 1.

Lets's calculate LCM of 439,2584

Lowest Common Multiple of 439,2584 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1134376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1134376

Therefore, the GCF of Fractions 4457/439,7898/2584 is 1/1134376

Least Common Multiple of 439,2584 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 439,2584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,2584) = 1

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

GCF(439,2584) x common factors =1 x 1 = 1

LCM(439,2584) = ( 439 × 2584 ) / 1

LCM(439,2584) = 1134376 / 1

LCM(439,2584) = 1134376

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FAQs on GCF of Fractions of 4457/439, 7898/2584

1. What is the HCF of 4457,7898?

The HCF of 4457,7898 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 4457/439, 7898/2584?

Answer: GCF of Numerators as per given numbers 4457/439, 7898/2584 is

GCF of Numerators i.e. for 4457,7898 is 1

LCM of denominators i.e. for 439,2584 is 1134376.

Thus, GCF of Fractions is 1/1134376.Finally, GCF of Fractions for 4457/439, 7898/2584 is 1/1134376.