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GCF of 391/172, 519/200

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 391/172, 519/200 i.e 1/8600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/172, 519/200.

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 391/172,519/200?

Given fractions are 391/172,519/200

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 391/172,519/200, numerators are 391,519

Denominators are 172,200

The GCF of 391,519 is 1 .

LCM of 172,200 is 8600.

The greatest common factor of 391/172,519/200 = [GCF of 391,519]/[LCM of 172,200]= 1/8600

Therefore, the GCF of 391/172,519/200 is 1/8600.

Greatest Common Factor of 391,519

To find the highest common factor of 391,519, we have to find the factors of both numbers and list the highest common factor.

The factors of 391 are 1, 17, 23, 391

The factors of 519 are 1, 3, 173, 519

The HCF of 391,519 is 1.

Lets's calculate GCF of 391,519

Greatest Common Factor (GCF) of 391,519 By Common Division

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

Greatest Common Factor of 391,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,519 By Matching Biggest Common Factor Method

Now, list down the factors of 391

:

1,17,23,391

Now, list down the factors of 519

:

1,3,173,519

Greatest Common Factor

We found the factors 391,519 . The biggest common factor number is the GCF number.
So the greatest common factor 391,519 is 1.

Lets's calculate LCM of 172,200

Lowest Common Multiple of 172,200 using Common Division

2 172, 200
2 86, 100
43, 50

∴ So the LCM of the given numbers is 2 x 2 x 43 x 50 = 8600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8600

Therefore, the GCF of Fractions 391/172,519/200 is 1/8600

Least Common Multiple of 172,200 with GCF Formula

Least Common Multiple of 172,200 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 172,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,200) = 4

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

GCF(172,200) x common factors =4 x 1 = 4

LCM(172,200) = ( 172 × 200 ) / 4

LCM(172,200) = 34400 / 4

LCM(172,200) = 8600


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FAQs on GCF of Fractions of 391/172, 519/200

1. What is the HCF of 391,519?

The HCF of 391,519 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 391/172, 519/200?

Answer: GCF of Numerators as per given numbers 391/172, 519/200 is

GCF of Numerators i.e. for 391,519 is 1

LCM of denominators i.e. for 172,200 is 8600.

Thus, GCF of Fractions is 1/8600.Finally, GCF of Fractions for 391/172, 519/200 is 1/8600.