How to Find GCF of 4457/567, 5794/1420?

GCF of 4457/567, 5794/1420

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 4457/567, 5794/1420 i.e 1/805140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4457/567, 5794/1420.

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 4457/567,5794/1420?

Given fractions are 4457/567,5794/1420

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 4457/567,5794/1420, numerators are 4457,5794

Denominators are 567,1420

The GCF of 4457,5794 is 1 .

LCM of 567,1420 is 805140.

The greatest common factor of 4457/567,5794/1420 = [GCF of 4457,5794]/[LCM of 567,1420]= 1/805140

Therefore, the GCF of 4457/567,5794/1420 is 1/805140.

Greatest Common Factor of 4457,5794

To find the highest common factor of 4457,5794, 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 5794 are 1, 2, 2897, 5794

The HCF of 4457,5794 is 1.

Lets's calculate GCF of 4457,5794

Greatest Common Factor (GCF) of 4457,5794 By Common Division

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

Greatest Common Factor of 4457,5794 By Matching Biggest Common Factor Method

Now, list down the factors of 4457

1,4457

Now, list down the factors of 5794

1,2,2897,5794

Greatest Common Factor

We found the factors 4457,5794 . The biggest common factor number is the GCF number.
So the greatest common factor 4457,5794 is 1.

Lets's calculate LCM of 567,1420

Lowest Common Multiple of 567,1420 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 805140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/805140

Therefore, the GCF of Fractions 4457/567,5794/1420 is 1/805140

Least Common Multiple of 567,1420 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 567,1420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,1420) = 1

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

GCF(567,1420) x common factors =1 x 1 = 1

LCM(567,1420) = ( 567 × 1420 ) / 1

LCM(567,1420) = 805140 / 1

LCM(567,1420) = 805140

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FAQs on GCF of Fractions of 4457/567, 5794/1420

1. What is the HCF of 4457,5794?

The HCF of 4457,5794 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 4457/567, 5794/1420?

Answer: GCF of Numerators as per given numbers 4457/567, 5794/1420 is

GCF of Numerators i.e. for 4457,5794 is 1

LCM of denominators i.e. for 567,1420 is 805140.

Thus, GCF of Fractions is 1/805140.Finally, GCF of Fractions for 4457/567, 5794/1420 is 1/805140.