How to Find GCF of 4195/996, 5653/2270?

GCF of 4195/996, 5653/2270

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 4195/996, 5653/2270 i.e 1/1130460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4195/996, 5653/2270.

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 4195/996,5653/2270?

Given fractions are 4195/996,5653/2270

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 4195/996,5653/2270, numerators are 4195,5653

Denominators are 996,2270

The GCF of 4195,5653 is 1 .

LCM of 996,2270 is 1130460.

The greatest common factor of 4195/996,5653/2270 = [GCF of 4195,5653]/[LCM of 996,2270]= 1/1130460

Therefore, the GCF of 4195/996,5653/2270 is 1/1130460.

Greatest Common Factor of 4195,5653

To find the highest common factor of 4195,5653, we have to find the factors of both numbers and list the highest common factor.

The factors of 4195 are 1, 5, 839, 4195

The factors of 5653 are 1, 5653

The HCF of 4195,5653 is 1.

Lets's calculate GCF of 4195,5653

Greatest Common Factor (GCF) of 4195,5653 By Common Division

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

Greatest Common Factor of 4195,5653 By Matching Biggest Common Factor Method

Now, list down the factors of 4195

1,5,839,4195

Now, list down the factors of 5653

1,5653

Greatest Common Factor

We found the factors 4195,5653 . The biggest common factor number is the GCF number.
So the greatest common factor 4195,5653 is 1.

Lets's calculate LCM of 996,2270

Lowest Common Multiple of 996,2270 using Common Division

2	996, 2270
	498, 1135

∴ So the LCM of the given numbers is 2 x 498 x 1135 = 1130460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1130460

Therefore, the GCF of Fractions 4195/996,5653/2270 is 1/1130460

Least Common Multiple of 996,2270 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 996,2270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,2270) = 2

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

GCF(996,2270) x common factors =2 x 1 = 2

LCM(996,2270) = ( 996 × 2270 ) / 2

LCM(996,2270) = 2260920 / 2

LCM(996,2270) = 1130460

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FAQs on GCF of Fractions of 4195/996, 5653/2270

1. What is the HCF of 4195,5653?

The HCF of 4195,5653 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 4195/996, 5653/2270?

Answer: GCF of Numerators as per given numbers 4195/996, 5653/2270 is

GCF of Numerators i.e. for 4195,5653 is 1

LCM of denominators i.e. for 996,2270 is 1130460.

Thus, GCF of Fractions is 1/1130460.Finally, GCF of Fractions for 4195/996, 5653/2270 is 1/1130460.