How to Find GCF of 2268/400, 1201/814?

GCF of 2268/400, 1201/814

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 2268/400, 1201/814 i.e 1/162800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2268/400, 1201/814.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2268/400,1201/814?

Given fractions are 2268/400,1201/814

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 2268/400,1201/814, numerators are 2268,1201

Denominators are 400,814

The GCF of 2268,1201 is 1 .

LCM of 400,814 is 162800.

The greatest common factor of 2268/400,1201/814 = [GCF of 2268,1201]/[LCM of 400,814]= 1/162800

Therefore, the GCF of 2268/400,1201/814 is 1/162800.

Greatest Common Factor of 2268,1201

To find the highest common factor of 2268,1201, we have to find the factors of both numbers and list the highest common factor.

The factors of 2268 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134, 2268

The factors of 1201 are 1, 1201

The HCF of 2268,1201 is 1.

Lets's calculate GCF of 2268,1201

Greatest Common Factor (GCF) of 2268,1201 By Common Division

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

Greatest Common Factor of 2268,1201 By Matching Biggest Common Factor Method

Now, list down the factors of 2268

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,252,324,378,567,756,1134,2268

Now, list down the factors of 1201

1,1201

Greatest Common Factor

We found the factors 2268,1201 . The biggest common factor number is the GCF number.
So the greatest common factor 2268,1201 is 1.

Lets's calculate LCM of 400,814

Lowest Common Multiple of 400,814 using Common Division

2	400, 814
	200, 407

∴ So the LCM of the given numbers is 2 x 200 x 407 = 162800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162800

Therefore, the GCF of Fractions 2268/400,1201/814 is 1/162800

Least Common Multiple of 400,814 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 400,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,814) = 2

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

GCF(400,814) x common factors =2 x 1 = 2

LCM(400,814) = ( 400 × 814 ) / 2

LCM(400,814) = 325600 / 2

LCM(400,814) = 162800

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FAQs on GCF of Fractions of 2268/400, 1201/814

1. What is the HCF of 2268,1201?

The HCF of 2268,1201 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 2268/400, 1201/814?

Answer: GCF of Numerators as per given numbers 2268/400, 1201/814 is

GCF of Numerators i.e. for 2268,1201 is 1

LCM of denominators i.e. for 400,814 is 162800.

Thus, GCF of Fractions is 1/162800.Finally, GCF of Fractions for 2268/400, 1201/814 is 1/162800.