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GCF of 494/443, 532/120

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 494/443, 532/120 i.e 38/53160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 494/443, 532/120.

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 494/443,532/120?

Given fractions are 494/443,532/120

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 494/443,532/120, numerators are 494,532

Denominators are 443,120

The GCF of 494,532 is 38 .

LCM of 443,120 is 53160.

The greatest common factor of 494/443,532/120 = [GCF of 494,532]/[LCM of 443,120]= 38/53160

Therefore, the GCF of 494/443,532/120 is 38/53160.

Greatest Common Factor of 494,532

To find the highest common factor of 494,532, we have to find the factors of both numbers and list the highest common factor.

The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494

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

The HCF of 494,532 is 38.

Lets's calculate GCF of 494,532

Greatest Common Factor (GCF) of 494,532 By Common Division

2 494, 532
19 247, 266
13, 14

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 494,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,532 By Matching Biggest Common Factor Method

Now, list down the factors of 494

:

1,2,13,19,26,38,247,494

Now, list down the factors of 532

:

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

Greatest Common Factor

We found the factors 494,532 . The biggest common factor number is the GCF number.
So the greatest common factor 494,532 is 38.

Lets's calculate LCM of 443,120

Lowest Common Multiple of 443,120 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 53160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/53160

Therefore, the GCF of Fractions 494/443,532/120 is 38/53160

Least Common Multiple of 443,120 with GCF Formula

Least Common Multiple of 443,120 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 443,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,120) = 1

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

GCF(443,120) x common factors =1 x 1 = 1

LCM(443,120) = ( 443 × 120 ) / 1

LCM(443,120) = 53160 / 1

LCM(443,120) = 53160


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FAQs on GCF of Fractions of 494/443, 532/120

1. What is the HCF of 494,532?

The HCF of 494,532 is 38

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 494/443, 532/120?

Answer: GCF of Numerators as per given numbers 494/443, 532/120 is

GCF of Numerators i.e. for 494,532 is 38

LCM of denominators i.e. for 443,120 is 53160.

Thus, GCF of Fractions is 38/53160.Finally, GCF of Fractions for 494/443, 532/120 is 38/53160.