How to Find GCF of 576/74, 608/937?

GCF of 576/74, 608/937

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 576/74, 608/937 i.e 32/69338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 576/74, 608/937.

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 576/74,608/937?

Given fractions are 576/74,608/937

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 576/74,608/937, numerators are 576,608

Denominators are 74,937

The GCF of 576,608 is 32 .

LCM of 74,937 is 69338.

The greatest common factor of 576/74,608/937 = [GCF of 576,608]/[LCM of 74,937]= 32/69338

Therefore, the GCF of 576/74,608/937 is 32/69338.

Greatest Common Factor of 576,608

To find the highest common factor of 576,608, we have to find the factors of both numbers and list the highest common factor.

The factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

The HCF of 576,608 is 32.

Lets's calculate GCF of 576,608

Greatest Common Factor (GCF) of 576,608 By Common Division

2	576, 608
2	288, 304
2	144, 152
2	72, 76
2	36, 38
	18, 19

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 576,608 By Matching Biggest Common Factor Method

Now, list down the factors of 576

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Now, list down the factors of 608

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 576,608 . The biggest common factor number is the GCF number.
So the greatest common factor 576,608 is 32.

Lets's calculate LCM of 74,937

Lowest Common Multiple of 74,937 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 69338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/69338

Therefore, the GCF of Fractions 576/74,608/937 is 32/69338

Least Common Multiple of 74,937 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 74,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,937) = 1

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

GCF(74,937) x common factors =1 x 1 = 1

LCM(74,937) = ( 74 × 937 ) / 1

LCM(74,937) = 69338 / 1

LCM(74,937) = 69338

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FAQs on GCF of Fractions of 576/74, 608/937

1. What is the HCF of 576,608?

The HCF of 576,608 is 32

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 576/74, 608/937?

Answer: GCF of Numerators as per given numbers 576/74, 608/937 is

GCF of Numerators i.e. for 576,608 is 32

LCM of denominators i.e. for 74,937 is 69338.

Thus, GCF of Fractions is 32/69338.Finally, GCF of Fractions for 576/74, 608/937 is 32/69338.