How to Find GCF of 2837/650, 9213/4468?

GCF of 2837/650, 9213/4468

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 2837/650, 9213/4468 i.e 1/1452100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2837/650, 9213/4468.

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 2837/650,9213/4468?

Given fractions are 2837/650,9213/4468

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 2837/650,9213/4468, numerators are 2837,9213

Denominators are 650,4468

The GCF of 2837,9213 is 1 .

LCM of 650,4468 is 1452100.

The greatest common factor of 2837/650,9213/4468 = [GCF of 2837,9213]/[LCM of 650,4468]= 1/1452100

Therefore, the GCF of 2837/650,9213/4468 is 1/1452100.

Greatest Common Factor of 2837,9213

To find the highest common factor of 2837,9213, we have to find the factors of both numbers and list the highest common factor.

The factors of 2837 are 1, 2837

The factors of 9213 are 1, 3, 37, 83, 111, 249, 3071, 9213

The HCF of 2837,9213 is 1.

Lets's calculate GCF of 2837,9213

Greatest Common Factor (GCF) of 2837,9213 By Common Division

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

Greatest Common Factor of 2837,9213 By Matching Biggest Common Factor Method

Now, list down the factors of 2837

1,2837

Now, list down the factors of 9213

1,3,37,83,111,249,3071,9213

Greatest Common Factor

We found the factors 2837,9213 . The biggest common factor number is the GCF number.
So the greatest common factor 2837,9213 is 1.

Lets's calculate LCM of 650,4468

Lowest Common Multiple of 650,4468 using Common Division

2	650, 4468
	325, 2234

∴ So the LCM of the given numbers is 2 x 325 x 2234 = 1452100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1452100

Therefore, the GCF of Fractions 2837/650,9213/4468 is 1/1452100

Least Common Multiple of 650,4468 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 650,4468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,4468) = 2

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

GCF(650,4468) x common factors =2 x 1 = 2

LCM(650,4468) = ( 650 × 4468 ) / 2

LCM(650,4468) = 2904200 / 2

LCM(650,4468) = 1452100

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FAQs on GCF of Fractions of 2837/650, 9213/4468

1. What is the HCF of 2837,9213?

The HCF of 2837,9213 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 2837/650, 9213/4468?

Answer: GCF of Numerators as per given numbers 2837/650, 9213/4468 is

GCF of Numerators i.e. for 2837,9213 is 1

LCM of denominators i.e. for 650,4468 is 1452100.

Thus, GCF of Fractions is 1/1452100.Finally, GCF of Fractions for 2837/650, 9213/4468 is 1/1452100.