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GCF of 3119/200, 9017/4197

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 3119/200, 9017/4197 i.e 1/839400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3119/200, 9017/4197.

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 3119/200,9017/4197?

Given fractions are 3119/200,9017/4197

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 3119/200,9017/4197, numerators are 3119,9017

Denominators are 200,4197

The GCF of 3119,9017 is 1 .

LCM of 200,4197 is 839400.

The greatest common factor of 3119/200,9017/4197 = [GCF of 3119,9017]/[LCM of 200,4197]= 1/839400

Therefore, the GCF of 3119/200,9017/4197 is 1/839400.

Greatest Common Factor of 3119,9017

To find the highest common factor of 3119,9017, we have to find the factors of both numbers and list the highest common factor.

The factors of 3119 are 1, 3119

The factors of 9017 are 1, 71, 127, 9017

The HCF of 3119,9017 is 1.

Lets's calculate GCF of 3119,9017

Greatest Common Factor (GCF) of 3119,9017 By Common Division

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

Greatest Common Factor of 3119,9017 By Matching Biggest Common Factor Method

Greatest Common Factor of 3119,9017 By Matching Biggest Common Factor Method

Now, list down the factors of 3119

:

1,3119

Now, list down the factors of 9017

:

1,71,127,9017

Greatest Common Factor

We found the factors 3119,9017 . The biggest common factor number is the GCF number.
So the greatest common factor 3119,9017 is 1.

Lets's calculate LCM of 200,4197

Lowest Common Multiple of 200,4197 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 839400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/839400

Therefore, the GCF of Fractions 3119/200,9017/4197 is 1/839400

Least Common Multiple of 200,4197 with GCF Formula

Least Common Multiple of 200,4197 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 200,4197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,4197) = 1

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

GCF(200,4197) x common factors =1 x 1 = 1

LCM(200,4197) = ( 200 × 4197 ) / 1

LCM(200,4197) = 839400 / 1

LCM(200,4197) = 839400


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FAQs on GCF of Fractions of 3119/200, 9017/4197

1. What is the HCF of 3119,9017?

The HCF of 3119,9017 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 3119/200, 9017/4197?

Answer: GCF of Numerators as per given numbers 3119/200, 9017/4197 is

GCF of Numerators i.e. for 3119,9017 is 1

LCM of denominators i.e. for 200,4197 is 839400.

Thus, GCF of Fractions is 1/839400.Finally, GCF of Fractions for 3119/200, 9017/4197 is 1/839400.