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GCF of 200/937, 306/449

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 200/937, 306/449 i.e 2/420713 easily. The following is the detailed procedure to determine the greatest common factor of fractions 200/937, 306/449.

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 200/937,306/449?

Given fractions are 200/937,306/449

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 200/937,306/449, numerators are 200,306

Denominators are 937,449

The GCF of 200,306 is 2 .

LCM of 937,449 is 420713.

The greatest common factor of 200/937,306/449 = [GCF of 200,306]/[LCM of 937,449]= 2/420713

Therefore, the GCF of 200/937,306/449 is 2/420713.

Greatest Common Factor of 200,306

To find the highest common factor of 200,306, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

The HCF of 200,306 is 2.

Lets's calculate GCF of 200,306

Greatest Common Factor (GCF) of 200,306 By Common Division

2 200, 306
100, 153

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

Greatest Common Factor of 200,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,306 By Matching Biggest Common Factor Method

Now, list down the factors of 200

:

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

Now, list down the factors of 306

:

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 200,306 . The biggest common factor number is the GCF number.
So the greatest common factor 200,306 is 2.

Lets's calculate LCM of 937,449

Lowest Common Multiple of 937,449 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 420713

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/420713

Therefore, the GCF of Fractions 200/937,306/449 is 2/420713

Least Common Multiple of 937,449 with GCF Formula

Least Common Multiple of 937,449 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 937,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,449) = 1

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

GCF(937,449) x common factors =1 x 1 = 1

LCM(937,449) = ( 937 × 449 ) / 1

LCM(937,449) = 420713 / 1

LCM(937,449) = 420713


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 200/937, 306/449

1. What is the HCF of 200,306?

The HCF of 200,306 is 2

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 200/937, 306/449?

Answer: GCF of Numerators as per given numbers 200/937, 306/449 is

GCF of Numerators i.e. for 200,306 is 2

LCM of denominators i.e. for 937,449 is 420713.

Thus, GCF of Fractions is 2/420713.Finally, GCF of Fractions for 200/937, 306/449 is 2/420713.