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GCF of 492/83, 342/849

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 492/83, 342/849 i.e 6/70467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 492/83, 342/849.

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 492/83,342/849?

Given fractions are 492/83,342/849

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 492/83,342/849, numerators are 492,342

Denominators are 83,849

The GCF of 492,342 is 6 .

LCM of 83,849 is 70467.

The greatest common factor of 492/83,342/849 = [GCF of 492,342]/[LCM of 83,849]= 6/70467

Therefore, the GCF of 492/83,342/849 is 6/70467.

Greatest Common Factor of 492,342

To find the highest common factor of 492,342, we have to find the factors of both numbers and list the highest common factor.

The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

The HCF of 492,342 is 6.

Lets's calculate GCF of 492,342

Greatest Common Factor (GCF) of 492,342 By Common Division

2 492, 342
3 246, 171
82, 57

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 492,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,342 By Matching Biggest Common Factor Method

Now, list down the factors of 492

:

1,2,3,4,6,12,41,82,123,164,246,492

Now, list down the factors of 342

:

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 492,342 . The biggest common factor number is the GCF number.
So the greatest common factor 492,342 is 6.

Lets's calculate LCM of 83,849

Lowest Common Multiple of 83,849 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 70467

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/70467

Therefore, the GCF of Fractions 492/83,342/849 is 6/70467

Least Common Multiple of 83,849 with GCF Formula

Least Common Multiple of 83,849 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 83,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,849) = 1

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

GCF(83,849) x common factors =1 x 1 = 1

LCM(83,849) = ( 83 × 849 ) / 1

LCM(83,849) = 70467 / 1

LCM(83,849) = 70467


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FAQs on GCF of Fractions of 492/83, 342/849

1. What is the HCF of 492,342?

The HCF of 492,342 is 6

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 492/83, 342/849?

Answer: GCF of Numerators as per given numbers 492/83, 342/849 is

GCF of Numerators i.e. for 492,342 is 6

LCM of denominators i.e. for 83,849 is 70467.

Thus, GCF of Fractions is 6/70467.Finally, GCF of Fractions for 492/83, 342/849 is 6/70467.