How to Find GCF of 2189/952, 6361/356?

GCF of 2189/952, 6361/356

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 2189/952, 6361/356 i.e 1/84728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2189/952, 6361/356.

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 2189/952,6361/356?

Given fractions are 2189/952,6361/356

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 2189/952,6361/356, numerators are 2189,6361

Denominators are 952,356

The GCF of 2189,6361 is 1 .

LCM of 952,356 is 84728.

The greatest common factor of 2189/952,6361/356 = [GCF of 2189,6361]/[LCM of 952,356]= 1/84728

Therefore, the GCF of 2189/952,6361/356 is 1/84728.

Greatest Common Factor of 2189,6361

To find the highest common factor of 2189,6361, we have to find the factors of both numbers and list the highest common factor.

The factors of 2189 are 1, 11, 199, 2189

The factors of 6361 are 1, 6361

The HCF of 2189,6361 is 1.

Lets's calculate GCF of 2189,6361

Greatest Common Factor (GCF) of 2189,6361 By Common Division

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

Greatest Common Factor of 2189,6361 By Matching Biggest Common Factor Method

Now, list down the factors of 2189

1,11,199,2189

Now, list down the factors of 6361

1,6361

Greatest Common Factor

We found the factors 2189,6361 . The biggest common factor number is the GCF number.
So the greatest common factor 2189,6361 is 1.

Lets's calculate LCM of 952,356

Lowest Common Multiple of 952,356 using Common Division

2	952, 356
2	476, 178
	238, 89

∴ So the LCM of the given numbers is 2 x 2 x 238 x 89 = 84728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84728

Therefore, the GCF of Fractions 2189/952,6361/356 is 1/84728

Least Common Multiple of 952,356 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 952,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,356) = 4

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

GCF(952,356) x common factors =4 x 1 = 4

LCM(952,356) = ( 952 × 356 ) / 4

LCM(952,356) = 338912 / 4

LCM(952,356) = 84728

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FAQs on GCF of Fractions of 2189/952, 6361/356

1. What is the HCF of 2189,6361?

The HCF of 2189,6361 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 2189/952, 6361/356?

Answer: GCF of Numerators as per given numbers 2189/952, 6361/356 is

GCF of Numerators i.e. for 2189,6361 is 1

LCM of denominators i.e. for 952,356 is 84728.

Thus, GCF of Fractions is 1/84728.Finally, GCF of Fractions for 2189/952, 6361/356 is 1/84728.