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GCF of 735/600, 474/764

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 735/600, 474/764 i.e 3/114600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 735/600, 474/764.

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 735/600,474/764?

Given fractions are 735/600,474/764

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 735/600,474/764, numerators are 735,474

Denominators are 600,764

The GCF of 735,474 is 3 .

LCM of 600,764 is 114600.

The greatest common factor of 735/600,474/764 = [GCF of 735,474]/[LCM of 600,764]= 3/114600

Therefore, the GCF of 735/600,474/764 is 3/114600.

Greatest Common Factor of 735,474

To find the highest common factor of 735,474, we have to find the factors of both numbers and list the highest common factor.

The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474

The HCF of 735,474 is 3.

Lets's calculate GCF of 735,474

Greatest Common Factor (GCF) of 735,474 By Common Division

3 735, 474
245, 158

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 735,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,474 By Matching Biggest Common Factor Method

Now, list down the factors of 735

:

1,3,5,7,15,21,35,49,105,147,245,735

Now, list down the factors of 474

:

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 735,474 . The biggest common factor number is the GCF number.
So the greatest common factor 735,474 is 3.

Lets's calculate LCM of 600,764

Lowest Common Multiple of 600,764 using Common Division

2 600, 764
2 300, 382
150, 191

∴ So the LCM of the given numbers is 2 x 2 x 150 x 191 = 114600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/114600

Therefore, the GCF of Fractions 735/600,474/764 is 3/114600

Least Common Multiple of 600,764 with GCF Formula

Least Common Multiple of 600,764 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 600,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,764) = 4

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

GCF(600,764) x common factors =4 x 1 = 4

LCM(600,764) = ( 600 × 764 ) / 4

LCM(600,764) = 458400 / 4

LCM(600,764) = 114600


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FAQs on GCF of Fractions of 735/600, 474/764

1. What is the HCF of 735,474?

The HCF of 735,474 is 3

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 735/600, 474/764?

Answer: GCF of Numerators as per given numbers 735/600, 474/764 is

GCF of Numerators i.e. for 735,474 is 3

LCM of denominators i.e. for 600,764 is 114600.

Thus, GCF of Fractions is 3/114600.Finally, GCF of Fractions for 735/600, 474/764 is 3/114600.