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GCF of 492/209, 536/497

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 492/209, 536/497 i.e 4/103873 easily. The following is the detailed procedure to determine the greatest common factor of fractions 492/209, 536/497.

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 492/209,536/497?

Given fractions are 492/209,536/497

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 492/209,536/497, numerators are 492,536

Denominators are 209,497

The GCF of 492,536 is 4 .

LCM of 209,497 is 103873.

The greatest common factor of 492/209,536/497 = [GCF of 492,536]/[LCM of 209,497]= 4/103873

Therefore, the GCF of 492/209,536/497 is 4/103873.

Greatest Common Factor of 492,536

To find the highest common factor of 492,536, 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 536 are 1, 2, 4, 8, 67, 134, 268, 536

The HCF of 492,536 is 4.

Lets's calculate GCF of 492,536

Greatest Common Factor (GCF) of 492,536 By Common Division

2 492, 536
2 246, 268
123, 134

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

Greatest Common Factor of 492,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,536 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 536

:

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 492,536 . The biggest common factor number is the GCF number.
So the greatest common factor 492,536 is 4.

Lets's calculate LCM of 209,497

Lowest Common Multiple of 209,497 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 103873

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/103873

Therefore, the GCF of Fractions 492/209,536/497 is 4/103873

Least Common Multiple of 209,497 with GCF Formula

Least Common Multiple of 209,497 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 209,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,497) = 1

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

GCF(209,497) x common factors =1 x 1 = 1

LCM(209,497) = ( 209 × 497 ) / 1

LCM(209,497) = 103873 / 1

LCM(209,497) = 103873


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FAQs on GCF of Fractions of 492/209, 536/497

1. What is the HCF of 492,536?

The HCF of 492,536 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 492/209, 536/497?

Answer: GCF of Numerators as per given numbers 492/209, 536/497 is

GCF of Numerators i.e. for 492,536 is 4

LCM of denominators i.e. for 209,497 is 103873.

Thus, GCF of Fractions is 4/103873.Finally, GCF of Fractions for 492/209, 536/497 is 4/103873.