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GCF of 1/86, 29/62, 98/297, 337/799

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 1/86, 29/62, 98/297, 337/799 i.e 1/632649798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/86, 29/62, 98/297, 337/799.

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 1/86,29/62,98/297,337/799?

Given fractions are 1/86,29/62,98/297,337/799

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 1/86,29/62,98/297,337/799, numerators are 1,29,98,337

Denominators are 86,62,297,799

The GCF of 1,29,98,337 is 1 .

LCM of 86,62,297,799 is 632649798.

The greatest common factor of 1/86,29/62,98/297,337/799 = [GCF of 1,29,98,337]/[LCM of 86,62,297,799]= 1/632649798

Therefore, the GCF of 1/86,29/62,98/297,337/799 is 1/632649798.

Greatest Common Factor of 1,29,98,337

To find the highest common factor of 1,29,98,337, we have to find the factors of both numbers and list the highest common factor.

The factors of 1 are 1

The factors of 29 are 1, 29

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

The factors of 337 are 1, 337

The HCF of 1,29,98,337 is 1.

Lets's calculate GCF of 1,29,98,337

Greatest Common Factor (GCF) of 1,29,98,337 By Common Division

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

Greatest Common Factor of 1,29,98,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,29,98,337 By Matching Biggest Common Factor Method

Now, list down the factors of 1

:

1

Now, list down the factors of 29

:

1,29

Now, list down the factors of 98

:

1,2,7,14,49,98

Now, list down the factors of 337

:

1,337

Greatest Common Factor

We found the factors 1,29,98,337 . The biggest common factor number is the GCF number.
So the greatest common factor 1,29,98,337 is 1.


Lets's calculate LCM of 86,62,297,799

Lowest Common Multiple of 86,62,297,799 using Common Division

2 86, 62, 297, 799
43, 31, 297, 799

∴ So the LCM of the given numbers is 2 x 43 x 31 x 297 x 799 = 632649798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/632649798

Therefore, the GCF of Fractions 1/86,29/62,98/297,337/799 is 1/632649798

Least Common Multiple of 86,62,297,799 with GCF Formula

Least Common Multiple of 86,62,297,799 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 86,62,297,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,62,297,799) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,62,297,799) x common factors =1 x 2 = 2

LCM(86,62,297,799) = ( 86 × 62 × 297 × 799 ) / 2

LCM(86,62,297,799) = 1265299596 / 2

LCM(86,62,297,799) = 632649798


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1/86, 29/62, 98/297, 337/799

1. What is the HCF of 1,29,98,337?

The HCF of 1,29,98,337 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 1/86, 29/62, 98/297, 337/799?

Answer: GCF of Numerators as per given numbers 1/86, 29/62, 98/297, 337/799 is

GCF of Numerators i.e. for 1,29,98,337 is 1

LCM of denominators i.e. for 86,62,297,799 is 632649798.

Thus, GCF of Fractions is 1/632649798.Finally, GCF of Fractions for 1/86, 29/62, 98/297, 337/799 is 1/632649798.