How to Find GCF of 2645/236, 1627/9222?

GCF of 2645/236, 1627/9222

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 2645/236, 1627/9222 i.e 1/1088196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2645/236, 1627/9222.

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 2645/236,1627/9222?

Given fractions are 2645/236,1627/9222

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 2645/236,1627/9222, numerators are 2645,1627

Denominators are 236,9222

The GCF of 2645,1627 is 1 .

LCM of 236,9222 is 1088196.

The greatest common factor of 2645/236,1627/9222 = [GCF of 2645,1627]/[LCM of 236,9222]= 1/1088196

Therefore, the GCF of 2645/236,1627/9222 is 1/1088196.

Greatest Common Factor of 2645,1627

To find the highest common factor of 2645,1627, we have to find the factors of both numbers and list the highest common factor.

The factors of 2645 are 1, 5, 23, 115, 529, 2645

The factors of 1627 are 1, 1627

The HCF of 2645,1627 is 1.

Lets's calculate GCF of 2645,1627

Greatest Common Factor (GCF) of 2645,1627 By Common Division

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

Greatest Common Factor of 2645,1627 By Matching Biggest Common Factor Method

Now, list down the factors of 2645

1,5,23,115,529,2645

Now, list down the factors of 1627

1,1627

Greatest Common Factor

We found the factors 2645,1627 . The biggest common factor number is the GCF number.
So the greatest common factor 2645,1627 is 1.

Lets's calculate LCM of 236,9222

Lowest Common Multiple of 236,9222 using Common Division

2	236, 9222
	118, 4611

∴ So the LCM of the given numbers is 2 x 118 x 4611 = 1088196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1088196

Therefore, the GCF of Fractions 2645/236,1627/9222 is 1/1088196

Least Common Multiple of 236,9222 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 236,9222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,9222) = 2

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

GCF(236,9222) x common factors =2 x 1 = 2

LCM(236,9222) = ( 236 × 9222 ) / 2

LCM(236,9222) = 2176392 / 2

LCM(236,9222) = 1088196

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FAQs on GCF of Fractions of 2645/236, 1627/9222

1. What is the HCF of 2645,1627?

The HCF of 2645,1627 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 2645/236, 1627/9222?

Answer: GCF of Numerators as per given numbers 2645/236, 1627/9222 is

GCF of Numerators i.e. for 2645,1627 is 1

LCM of denominators i.e. for 236,9222 is 1088196.

Thus, GCF of Fractions is 1/1088196.Finally, GCF of Fractions for 2645/236, 1627/9222 is 1/1088196.