How to Find GCF of 1245/362, 2266/2589?

GCF of 1245/362, 2266/2589

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 1245/362, 2266/2589 i.e 1/937218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1245/362, 2266/2589.

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 1245/362,2266/2589?

Given fractions are 1245/362,2266/2589

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 1245/362,2266/2589, numerators are 1245,2266

Denominators are 362,2589

The GCF of 1245,2266 is 1 .

LCM of 362,2589 is 937218.

The greatest common factor of 1245/362,2266/2589 = [GCF of 1245,2266]/[LCM of 362,2589]= 1/937218

Therefore, the GCF of 1245/362,2266/2589 is 1/937218.

Greatest Common Factor of 1245,2266

To find the highest common factor of 1245,2266, we have to find the factors of both numbers and list the highest common factor.

The factors of 1245 are 1, 3, 5, 15, 83, 249, 415, 1245

The factors of 2266 are 1, 2, 11, 22, 103, 206, 1133, 2266

The HCF of 1245,2266 is 1.

Lets's calculate GCF of 1245,2266

Greatest Common Factor (GCF) of 1245,2266 By Common Division

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

Greatest Common Factor of 1245,2266 By Matching Biggest Common Factor Method

Now, list down the factors of 1245

1,3,5,15,83,249,415,1245

Now, list down the factors of 2266

1,2,11,22,103,206,1133,2266

Greatest Common Factor

We found the factors 1245,2266 . The biggest common factor number is the GCF number.
So the greatest common factor 1245,2266 is 1.

Lets's calculate LCM of 362,2589

Lowest Common Multiple of 362,2589 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 937218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/937218

Therefore, the GCF of Fractions 1245/362,2266/2589 is 1/937218

Least Common Multiple of 362,2589 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 362,2589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,2589) = 1

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

GCF(362,2589) x common factors =1 x 1 = 1

LCM(362,2589) = ( 362 × 2589 ) / 1

LCM(362,2589) = 937218 / 1

LCM(362,2589) = 937218

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FAQs on GCF of Fractions of 1245/362, 2266/2589

1. What is the HCF of 1245,2266?

The HCF of 1245,2266 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 1245/362, 2266/2589?

Answer: GCF of Numerators as per given numbers 1245/362, 2266/2589 is

GCF of Numerators i.e. for 1245,2266 is 1

LCM of denominators i.e. for 362,2589 is 937218.

Thus, GCF of Fractions is 1/937218.Finally, GCF of Fractions for 1245/362, 2266/2589 is 1/937218.