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GCF of 2143/732, 1076/2182

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 2143/732, 1076/2182 i.e 1/798612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2143/732, 1076/2182.

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 2143/732,1076/2182?

Given fractions are 2143/732,1076/2182

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 2143/732,1076/2182, numerators are 2143,1076

Denominators are 732,2182

The GCF of 2143,1076 is 1 .

LCM of 732,2182 is 798612.

The greatest common factor of 2143/732,1076/2182 = [GCF of 2143,1076]/[LCM of 732,2182]= 1/798612

Therefore, the GCF of 2143/732,1076/2182 is 1/798612.

Greatest Common Factor of 2143,1076

To find the highest common factor of 2143,1076, we have to find the factors of both numbers and list the highest common factor.

The factors of 2143 are 1, 2143

The factors of 1076 are 1, 2, 4, 269, 538, 1076

The HCF of 2143,1076 is 1.

Lets's calculate GCF of 2143,1076

Greatest Common Factor (GCF) of 2143,1076 By Common Division

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

Greatest Common Factor of 2143,1076 By Matching Biggest Common Factor Method

Greatest Common Factor of 2143,1076 By Matching Biggest Common Factor Method

Now, list down the factors of 2143

:

1,2143

Now, list down the factors of 1076

:

1,2,4,269,538,1076

Greatest Common Factor

We found the factors 2143,1076 . The biggest common factor number is the GCF number.
So the greatest common factor 2143,1076 is 1.

Lets's calculate LCM of 732,2182

Lowest Common Multiple of 732,2182 using Common Division

2 732, 2182
366, 1091

∴ So the LCM of the given numbers is 2 x 366 x 1091 = 798612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/798612

Therefore, the GCF of Fractions 2143/732,1076/2182 is 1/798612

Least Common Multiple of 732,2182 with GCF Formula

Least Common Multiple of 732,2182 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 732,2182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,2182) = 2

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

GCF(732,2182) x common factors =2 x 1 = 2

LCM(732,2182) = ( 732 × 2182 ) / 2

LCM(732,2182) = 1597224 / 2

LCM(732,2182) = 798612


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2143/732, 1076/2182

1. What is the HCF of 2143,1076?

The HCF of 2143,1076 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 2143/732, 1076/2182?

Answer: GCF of Numerators as per given numbers 2143/732, 1076/2182 is

GCF of Numerators i.e. for 2143,1076 is 1

LCM of denominators i.e. for 732,2182 is 798612.

Thus, GCF of Fractions is 1/798612.Finally, GCF of Fractions for 2143/732, 1076/2182 is 1/798612.