How to Find GCF of 2202/723, 6739/3602?

GCF of 2202/723, 6739/3602

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 2202/723, 6739/3602 i.e 1/2604246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2202/723, 6739/3602.

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 2202/723,6739/3602?

Given fractions are 2202/723,6739/3602

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 2202/723,6739/3602, numerators are 2202,6739

Denominators are 723,3602

The GCF of 2202,6739 is 1 .

LCM of 723,3602 is 2604246.

The greatest common factor of 2202/723,6739/3602 = [GCF of 2202,6739]/[LCM of 723,3602]= 1/2604246

Therefore, the GCF of 2202/723,6739/3602 is 1/2604246.

Greatest Common Factor of 2202,6739

To find the highest common factor of 2202,6739, we have to find the factors of both numbers and list the highest common factor.

The factors of 2202 are 1, 2, 3, 6, 367, 734, 1101, 2202

The factors of 6739 are 1, 23, 293, 6739

The HCF of 2202,6739 is 1.

Lets's calculate GCF of 2202,6739

Greatest Common Factor (GCF) of 2202,6739 By Common Division

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

Greatest Common Factor of 2202,6739 By Matching Biggest Common Factor Method

Now, list down the factors of 2202

1,2,3,6,367,734,1101,2202

Now, list down the factors of 6739

1,23,293,6739

Greatest Common Factor

We found the factors 2202,6739 . The biggest common factor number is the GCF number.
So the greatest common factor 2202,6739 is 1.

Lets's calculate LCM of 723,3602

Lowest Common Multiple of 723,3602 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2604246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2604246

Therefore, the GCF of Fractions 2202/723,6739/3602 is 1/2604246

Least Common Multiple of 723,3602 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 723,3602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,3602) = 1

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

GCF(723,3602) x common factors =1 x 1 = 1

LCM(723,3602) = ( 723 × 3602 ) / 1

LCM(723,3602) = 2604246 / 1

LCM(723,3602) = 2604246

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2202/723, 6739/3602

1. What is the HCF of 2202,6739?

The HCF of 2202,6739 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 2202/723, 6739/3602?

Answer: GCF of Numerators as per given numbers 2202/723, 6739/3602 is

GCF of Numerators i.e. for 2202,6739 is 1

LCM of denominators i.e. for 723,3602 is 2604246.

Thus, GCF of Fractions is 1/2604246.Finally, GCF of Fractions for 2202/723, 6739/3602 is 1/2604246.