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GCF of 601/724, 785/576

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 601/724, 785/576 i.e 1/104256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 601/724, 785/576.

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 601/724,785/576?

Given fractions are 601/724,785/576

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 601/724,785/576, numerators are 601,785

Denominators are 724,576

The GCF of 601,785 is 1 .

LCM of 724,576 is 104256.

The greatest common factor of 601/724,785/576 = [GCF of 601,785]/[LCM of 724,576]= 1/104256

Therefore, the GCF of 601/724,785/576 is 1/104256.

Greatest Common Factor of 601,785

To find the highest common factor of 601,785, we have to find the factors of both numbers and list the highest common factor.

The factors of 601 are 1, 601

The factors of 785 are 1, 5, 157, 785

The HCF of 601,785 is 1.

Lets's calculate GCF of 601,785

Greatest Common Factor (GCF) of 601,785 By Common Division

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

Greatest Common Factor of 601,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,785 By Matching Biggest Common Factor Method

Now, list down the factors of 601

:

1,601

Now, list down the factors of 785

:

1,5,157,785

Greatest Common Factor

We found the factors 601,785 . The biggest common factor number is the GCF number.
So the greatest common factor 601,785 is 1.

Lets's calculate LCM of 724,576

Lowest Common Multiple of 724,576 using Common Division

2 724, 576
2 362, 288
181, 144

∴ So the LCM of the given numbers is 2 x 2 x 181 x 144 = 104256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104256

Therefore, the GCF of Fractions 601/724,785/576 is 1/104256

Least Common Multiple of 724,576 with GCF Formula

Least Common Multiple of 724,576 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 724,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,576) = 4

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

GCF(724,576) x common factors =4 x 1 = 4

LCM(724,576) = ( 724 × 576 ) / 4

LCM(724,576) = 417024 / 4

LCM(724,576) = 104256


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FAQs on GCF of Fractions of 601/724, 785/576

1. What is the HCF of 601,785?

The HCF of 601,785 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 601/724, 785/576?

Answer: GCF of Numerators as per given numbers 601/724, 785/576 is

GCF of Numerators i.e. for 601,785 is 1

LCM of denominators i.e. for 724,576 is 104256.

Thus, GCF of Fractions is 1/104256.Finally, GCF of Fractions for 601/724, 785/576 is 1/104256.