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GCF of 172/298, 6037/9516

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 172/298, 6037/9516 i.e 1/1417884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 172/298, 6037/9516.

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 172/298,6037/9516?

Given fractions are 172/298,6037/9516

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 172/298,6037/9516, numerators are 172,6037

Denominators are 298,9516

The GCF of 172,6037 is 1 .

LCM of 298,9516 is 1417884.

The greatest common factor of 172/298,6037/9516 = [GCF of 172,6037]/[LCM of 298,9516]= 1/1417884

Therefore, the GCF of 172/298,6037/9516 is 1/1417884.

Greatest Common Factor of 172,6037

To find the highest common factor of 172,6037, we have to find the factors of both numbers and list the highest common factor.

The factors of 172 are 1, 2, 4, 43, 86, 172

The factors of 6037 are 1, 6037

The HCF of 172,6037 is 1.

Lets's calculate GCF of 172,6037

Greatest Common Factor (GCF) of 172,6037 By Common Division

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

Greatest Common Factor of 172,6037 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,6037 By Matching Biggest Common Factor Method

Now, list down the factors of 172

:

1,2,4,43,86,172

Now, list down the factors of 6037

:

1,6037

Greatest Common Factor

We found the factors 172,6037 . The biggest common factor number is the GCF number.
So the greatest common factor 172,6037 is 1.

Lets's calculate LCM of 298,9516

Lowest Common Multiple of 298,9516 using Common Division

2 298, 9516
149, 4758

∴ So the LCM of the given numbers is 2 x 149 x 4758 = 1417884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1417884

Therefore, the GCF of Fractions 172/298,6037/9516 is 1/1417884

Least Common Multiple of 298,9516 with GCF Formula

Least Common Multiple of 298,9516 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 298,9516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,9516) = 2

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

GCF(298,9516) x common factors =2 x 1 = 2

LCM(298,9516) = ( 298 × 9516 ) / 2

LCM(298,9516) = 2835768 / 2

LCM(298,9516) = 1417884


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FAQs on GCF of Fractions of 172/298, 6037/9516

1. What is the HCF of 172,6037?

The HCF of 172,6037 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 172/298, 6037/9516?

Answer: GCF of Numerators as per given numbers 172/298, 6037/9516 is

GCF of Numerators i.e. for 172,6037 is 1

LCM of denominators i.e. for 298,9516 is 1417884.

Thus, GCF of Fractions is 1/1417884.Finally, GCF of Fractions for 172/298, 6037/9516 is 1/1417884.