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GCF of 4574/601, 1574/872

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 4574/601, 1574/872 i.e 2/524072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4574/601, 1574/872.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4574/601,1574/872?

Given fractions are 4574/601,1574/872

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 4574/601,1574/872, numerators are 4574,1574

Denominators are 601,872

The GCF of 4574,1574 is 2 .

LCM of 601,872 is 524072.

The greatest common factor of 4574/601,1574/872 = [GCF of 4574,1574]/[LCM of 601,872]= 2/524072

Therefore, the GCF of 4574/601,1574/872 is 2/524072.

Greatest Common Factor of 4574,1574

To find the highest common factor of 4574,1574, we have to find the factors of both numbers and list the highest common factor.

The factors of 4574 are 1, 2, 2287, 4574

The factors of 1574 are 1, 2, 787, 1574

The HCF of 4574,1574 is 2.

Lets's calculate GCF of 4574,1574

Greatest Common Factor (GCF) of 4574,1574 By Common Division

2 4574, 1574
2287, 787

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

Greatest Common Factor of 4574,1574 By Matching Biggest Common Factor Method

Greatest Common Factor of 4574,1574 By Matching Biggest Common Factor Method

Now, list down the factors of 4574

:

1,2,2287,4574

Now, list down the factors of 1574

:

1,2,787,1574

Greatest Common Factor

We found the factors 4574,1574 . The biggest common factor number is the GCF number.
So the greatest common factor 4574,1574 is 2.

Lets's calculate LCM of 601,872

Lowest Common Multiple of 601,872 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 524072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/524072

Therefore, the GCF of Fractions 4574/601,1574/872 is 2/524072

Least Common Multiple of 601,872 with GCF Formula

Least Common Multiple of 601,872 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 601,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,872) = 1

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

GCF(601,872) x common factors =1 x 1 = 1

LCM(601,872) = ( 601 × 872 ) / 1

LCM(601,872) = 524072 / 1

LCM(601,872) = 524072


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FAQs on GCF of Fractions of 4574/601, 1574/872

1. What is the HCF of 4574,1574?

The HCF of 4574,1574 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 4574/601, 1574/872?

Answer: GCF of Numerators as per given numbers 4574/601, 1574/872 is

GCF of Numerators i.e. for 4574,1574 is 2

LCM of denominators i.e. for 601,872 is 524072.

Thus, GCF of Fractions is 2/524072.Finally, GCF of Fractions for 4574/601, 1574/872 is 2/524072.