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GCF of 592/414, 604/665

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 592/414, 604/665 i.e 4/275310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 592/414, 604/665.

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 592/414,604/665?

Given fractions are 592/414,604/665

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 592/414,604/665, numerators are 592,604

Denominators are 414,665

The GCF of 592,604 is 4 .

LCM of 414,665 is 275310.

The greatest common factor of 592/414,604/665 = [GCF of 592,604]/[LCM of 414,665]= 4/275310

Therefore, the GCF of 592/414,604/665 is 4/275310.

Greatest Common Factor of 592,604

To find the highest common factor of 592,604, we have to find the factors of both numbers and list the highest common factor.

The factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

The factors of 604 are 1, 2, 4, 151, 302, 604

The HCF of 592,604 is 4.

Lets's calculate GCF of 592,604

Greatest Common Factor (GCF) of 592,604 By Common Division

2 592, 604
2 296, 302
148, 151

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 592,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,604 By Matching Biggest Common Factor Method

Now, list down the factors of 592

:

1,2,4,8,16,37,74,148,296,592

Now, list down the factors of 604

:

1,2,4,151,302,604

Greatest Common Factor

We found the factors 592,604 . The biggest common factor number is the GCF number.
So the greatest common factor 592,604 is 4.

Lets's calculate LCM of 414,665

Lowest Common Multiple of 414,665 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 275310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/275310

Therefore, the GCF of Fractions 592/414,604/665 is 4/275310

Least Common Multiple of 414,665 with GCF Formula

Least Common Multiple of 414,665 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 414,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,665) = 1

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

GCF(414,665) x common factors =1 x 1 = 1

LCM(414,665) = ( 414 × 665 ) / 1

LCM(414,665) = 275310 / 1

LCM(414,665) = 275310


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FAQs on GCF of Fractions of 592/414, 604/665

1. What is the HCF of 592,604?

The HCF of 592,604 is 4

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 592/414, 604/665?

Answer: GCF of Numerators as per given numbers 592/414, 604/665 is

GCF of Numerators i.e. for 592,604 is 4

LCM of denominators i.e. for 414,665 is 275310.

Thus, GCF of Fractions is 4/275310.Finally, GCF of Fractions for 592/414, 604/665 is 4/275310.