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GCF of 197/62, 498/782

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 197/62, 498/782 i.e 1/24242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 197/62, 498/782.

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 197/62,498/782?

Given fractions are 197/62,498/782

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 197/62,498/782, numerators are 197,498

Denominators are 62,782

The GCF of 197,498 is 1 .

LCM of 62,782 is 24242.

The greatest common factor of 197/62,498/782 = [GCF of 197,498]/[LCM of 62,782]= 1/24242

Therefore, the GCF of 197/62,498/782 is 1/24242.

Greatest Common Factor of 197,498

To find the highest common factor of 197,498, we have to find the factors of both numbers and list the highest common factor.

The factors of 197 are 1, 197

The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498

The HCF of 197,498 is 1.

Lets's calculate GCF of 197,498

Greatest Common Factor (GCF) of 197,498 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 197,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,498 By Matching Biggest Common Factor Method

Now, list down the factors of 197

:

1,197

Now, list down the factors of 498

:

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 197,498 . The biggest common factor number is the GCF number.
So the greatest common factor 197,498 is 1.

Lets's calculate LCM of 62,782

Lowest Common Multiple of 62,782 using Common Division

2 62, 782
31, 391

∴ So the LCM of the given numbers is 2 x 31 x 391 = 24242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24242

Therefore, the GCF of Fractions 197/62,498/782 is 1/24242

Least Common Multiple of 62,782 with GCF Formula

Least Common Multiple of 62,782 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 62,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,782) = 2

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

GCF(62,782) x common factors =2 x 1 = 2

LCM(62,782) = ( 62 × 782 ) / 2

LCM(62,782) = 48484 / 2

LCM(62,782) = 24242


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FAQs on GCF of Fractions of 197/62, 498/782

1. What is the HCF of 197,498?

The HCF of 197,498 is 1

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 197/62, 498/782?

Answer: GCF of Numerators as per given numbers 197/62, 498/782 is

GCF of Numerators i.e. for 197,498 is 1

LCM of denominators i.e. for 62,782 is 24242.

Thus, GCF of Fractions is 1/24242.Finally, GCF of Fractions for 197/62, 498/782 is 1/24242.