How to Find GCF of 2754/200, 6470/9133?

GCF of 2754/200, 6470/9133

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 2754/200, 6470/9133 i.e 2/1826600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2754/200, 6470/9133.

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 2754/200,6470/9133?

Given fractions are 2754/200,6470/9133

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 2754/200,6470/9133, numerators are 2754,6470

Denominators are 200,9133

The GCF of 2754,6470 is 2 .

LCM of 200,9133 is 1826600.

The greatest common factor of 2754/200,6470/9133 = [GCF of 2754,6470]/[LCM of 200,9133]= 2/1826600

Therefore, the GCF of 2754/200,6470/9133 is 2/1826600.

Greatest Common Factor of 2754,6470

To find the highest common factor of 2754,6470, we have to find the factors of both numbers and list the highest common factor.

The factors of 2754 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 306, 459, 918, 1377, 2754

The factors of 6470 are 1, 2, 5, 10, 647, 1294, 3235, 6470

The HCF of 2754,6470 is 2.

Lets's calculate GCF of 2754,6470

Greatest Common Factor (GCF) of 2754,6470 By Common Division

2	2754, 6470
	1377, 3235

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

Greatest Common Factor of 2754,6470 By Matching Biggest Common Factor Method

Now, list down the factors of 2754

1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,306,459,918,1377,2754

Now, list down the factors of 6470

1,2,5,10,647,1294,3235,6470

Greatest Common Factor

We found the factors 2754,6470 . The biggest common factor number is the GCF number.
So the greatest common factor 2754,6470 is 2.

Lets's calculate LCM of 200,9133

Lowest Common Multiple of 200,9133 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1826600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1826600

Therefore, the GCF of Fractions 2754/200,6470/9133 is 2/1826600

Least Common Multiple of 200,9133 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 200,9133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,9133) = 1

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

GCF(200,9133) x common factors =1 x 1 = 1

LCM(200,9133) = ( 200 × 9133 ) / 1

LCM(200,9133) = 1826600 / 1

LCM(200,9133) = 1826600

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FAQs on GCF of Fractions of 2754/200, 6470/9133

1. What is the HCF of 2754,6470?

The HCF of 2754,6470 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 2754/200, 6470/9133?

Answer: GCF of Numerators as per given numbers 2754/200, 6470/9133 is

GCF of Numerators i.e. for 2754,6470 is 2

LCM of denominators i.e. for 200,9133 is 1826600.

Thus, GCF of Fractions is 2/1826600.Finally, GCF of Fractions for 2754/200, 6470/9133 is 2/1826600.