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GCF of 2182/798, 3464/2693

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 2182/798, 3464/2693 i.e 2/2149014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2182/798, 3464/2693.

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 2182/798,3464/2693?

Given fractions are 2182/798,3464/2693

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 2182/798,3464/2693, numerators are 2182,3464

Denominators are 798,2693

The GCF of 2182,3464 is 2 .

LCM of 798,2693 is 2149014.

The greatest common factor of 2182/798,3464/2693 = [GCF of 2182,3464]/[LCM of 798,2693]= 2/2149014

Therefore, the GCF of 2182/798,3464/2693 is 2/2149014.

Greatest Common Factor of 2182,3464

To find the highest common factor of 2182,3464, we have to find the factors of both numbers and list the highest common factor.

The factors of 2182 are 1, 2, 1091, 2182

The factors of 3464 are 1, 2, 4, 8, 433, 866, 1732, 3464

The HCF of 2182,3464 is 2.

Lets's calculate GCF of 2182,3464

Greatest Common Factor (GCF) of 2182,3464 By Common Division

2 2182, 3464
1091, 1732

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

Greatest Common Factor of 2182,3464 By Matching Biggest Common Factor Method

Greatest Common Factor of 2182,3464 By Matching Biggest Common Factor Method

Now, list down the factors of 2182

:

1,2,1091,2182

Now, list down the factors of 3464

:

1,2,4,8,433,866,1732,3464

Greatest Common Factor

We found the factors 2182,3464 . The biggest common factor number is the GCF number.
So the greatest common factor 2182,3464 is 2.


Lets's calculate LCM of 798,2693

Lowest Common Multiple of 798,2693 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2149014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2149014

Therefore, the GCF of Fractions 2182/798,3464/2693 is 2/2149014

Least Common Multiple of 798,2693 with GCF Formula

Least Common Multiple of 798,2693 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 798,2693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,2693) = 1

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

GCF(798,2693) x common factors =1 x 1 = 1

LCM(798,2693) = ( 798 × 2693 ) / 1

LCM(798,2693) = 2149014 / 1

LCM(798,2693) = 2149014


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2182/798, 3464/2693

1. What is the HCF of 2182,3464?

The HCF of 2182,3464 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 2182/798, 3464/2693?

Answer: GCF of Numerators as per given numbers 2182/798, 3464/2693 is

GCF of Numerators i.e. for 2182,3464 is 2

LCM of denominators i.e. for 798,2693 is 2149014.

Thus, GCF of Fractions is 2/2149014.Finally, GCF of Fractions for 2182/798, 3464/2693 is 2/2149014.