How to Find GCF of 532/40, 608/9238?

GCF of 532/40, 608/9238

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 532/40, 608/9238 i.e 76/184760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/40, 608/9238.

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 532/40,608/9238?

Given fractions are 532/40,608/9238

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 532/40,608/9238, numerators are 532,608

Denominators are 40,9238

The GCF of 532,608 is 76 .

LCM of 40,9238 is 184760.

The greatest common factor of 532/40,608/9238 = [GCF of 532,608]/[LCM of 40,9238]= 76/184760

Therefore, the GCF of 532/40,608/9238 is 76/184760.

Greatest Common Factor of 532,608

To find the highest common factor of 532,608, we have to find the factors of both numbers and list the highest common factor.

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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

The HCF of 532,608 is 76.

Lets's calculate GCF of 532,608

Greatest Common Factor (GCF) of 532,608 By Common Division

2	532, 608
2	266, 304
19	133, 152
	7, 8

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Greatest Common Factor of 532,608 By Matching Biggest Common Factor Method

Now, list down the factors of 532

1,2,4,7,14,19,28,38,76,133,266,532

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 532,608 . The biggest common factor number is the GCF number.
So the greatest common factor 532,608 is 76.

Lets's calculate LCM of 40,9238

Lowest Common Multiple of 40,9238 using Common Division

2	40, 9238
	20, 4619

∴ So the LCM of the given numbers is 2 x 20 x 4619 = 184760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/184760

Therefore, the GCF of Fractions 532/40,608/9238 is 76/184760

Least Common Multiple of 40,9238 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 40,9238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,9238) = 2

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

GCF(40,9238) x common factors =2 x 1 = 2

LCM(40,9238) = ( 40 × 9238 ) / 2

LCM(40,9238) = 369520 / 2

LCM(40,9238) = 184760

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FAQs on GCF of Fractions of 532/40, 608/9238

1. What is the HCF of 532,608?

The HCF of 532,608 is 76

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 532/40, 608/9238?

Answer: GCF of Numerators as per given numbers 532/40, 608/9238 is

GCF of Numerators i.e. for 532,608 is 76

LCM of denominators i.e. for 40,9238 is 184760.

Thus, GCF of Fractions is 76/184760.Finally, GCF of Fractions for 532/40, 608/9238 is 76/184760.