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GCF of 268/317, 200/194

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 268/317, 200/194 i.e 4/61498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 268/317, 200/194.

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 268/317,200/194?

Given fractions are 268/317,200/194

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 268/317,200/194, numerators are 268,200

Denominators are 317,194

The GCF of 268,200 is 4 .

LCM of 317,194 is 61498.

The greatest common factor of 268/317,200/194 = [GCF of 268,200]/[LCM of 317,194]= 4/61498

Therefore, the GCF of 268/317,200/194 is 4/61498.

Greatest Common Factor of 268,200

To find the highest common factor of 268,200, we have to find the factors of both numbers and list the highest common factor.

The factors of 268 are 1, 2, 4, 67, 134, 268

The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

The HCF of 268,200 is 4.

Lets's calculate GCF of 268,200

Greatest Common Factor (GCF) of 268,200 By Common Division

2 268, 200
2 134, 100
67, 50

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 268,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,200 By Matching Biggest Common Factor Method

Now, list down the factors of 268

:

1,2,4,67,134,268

Now, list down the factors of 200

:

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 268,200 . The biggest common factor number is the GCF number.
So the greatest common factor 268,200 is 4.

Lets's calculate LCM of 317,194

Lowest Common Multiple of 317,194 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 61498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/61498

Therefore, the GCF of Fractions 268/317,200/194 is 4/61498

Least Common Multiple of 317,194 with GCF Formula

Least Common Multiple of 317,194 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 317,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,194) = 1

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

GCF(317,194) x common factors =1 x 1 = 1

LCM(317,194) = ( 317 × 194 ) / 1

LCM(317,194) = 61498 / 1

LCM(317,194) = 61498


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FAQs on GCF of Fractions of 268/317, 200/194

1. What is the HCF of 268,200?

The HCF of 268,200 is 4

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 268/317, 200/194?

Answer: GCF of Numerators as per given numbers 268/317, 200/194 is

GCF of Numerators i.e. for 268,200 is 4

LCM of denominators i.e. for 317,194 is 61498.

Thus, GCF of Fractions is 4/61498.Finally, GCF of Fractions for 268/317, 200/194 is 4/61498.