How to Find GCF of 98/517, 83/713, 467/752?

GCF of 98/517, 83/713, 467/752

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 98/517, 83/713, 467/752 i.e 1/5897936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/517, 83/713, 467/752.

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 98/517,83/713,467/752?

Given fractions are 98/517,83/713,467/752

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 98/517,83/713,467/752, numerators are 98,83,467

Denominators are 517,713,752

The GCF of 98,83,467 is 1 .

LCM of 517,713,752 is 5897936.

The greatest common factor of 98/517,83/713,467/752 = [GCF of 98,83,467]/[LCM of 517,713,752]= 1/5897936

Therefore, the GCF of 98/517,83/713,467/752 is 1/5897936.

Greatest Common Factor of 98,83,467

To find the highest common factor of 98,83,467, we have to find the factors of both numbers and list the highest common factor.

The factors of 98 are 1, 2, 7, 14, 49, 98

The factors of 83 are 1, 83

The factors of 467 are 1, 467

The HCF of 98,83,467 is 1.

Lets's calculate GCF of 98,83,467

Greatest Common Factor (GCF) of 98,83,467 By Common Division

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

Greatest Common Factor of 98,83,467 By Matching Biggest Common Factor Method

Now, list down the factors of 98

1,2,7,14,49,98

Now, list down the factors of 83

1,83

Now, list down the factors of 467

1,467

Greatest Common Factor

We found the factors 98,83,467 . The biggest common factor number is the GCF number.
So the greatest common factor 98,83,467 is 1.

Lets's calculate LCM of 517,713,752

Lowest Common Multiple of 517,713,752 using Common Division

47	517, 713, 752
	11, 713, 16

∴ So the LCM of the given numbers is 47 x 11 x 713 x 16 = 5897936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5897936

Therefore, the GCF of Fractions 98/517,83/713,467/752 is 1/5897936

Least Common Multiple of 517,713,752 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 517,713,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,713,752) = 1

common factors(in case of two or more numbers have common factors) = 47

GCF(517,713,752) x common factors =1 x 47 = 47

LCM(517,713,752) = ( 517 × 713 × 752 ) / 47

LCM(517,713,752) = 277202992 / 47

LCM(517,713,752) = 5897936

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FAQs on GCF of Fractions of 98/517, 83/713, 467/752

1. What is the HCF of 98,83,467?

The HCF of 98,83,467 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 98/517, 83/713, 467/752?

Answer: GCF of Numerators as per given numbers 98/517, 83/713, 467/752 is

GCF of Numerators i.e. for 98,83,467 is 1

LCM of denominators i.e. for 517,713,752 is 5897936.

Thus, GCF of Fractions is 1/5897936.Finally, GCF of Fractions for 98/517, 83/713, 467/752 is 1/5897936.