How to Find GCF of 2185/944, 8849/8037?

GCF of 2185/944, 8849/8037

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 2185/944, 8849/8037 i.e 1/7586928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2185/944, 8849/8037.

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 2185/944,8849/8037?

Given fractions are 2185/944,8849/8037

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 2185/944,8849/8037, numerators are 2185,8849

Denominators are 944,8037

The GCF of 2185,8849 is 1 .

LCM of 944,8037 is 7586928.

The greatest common factor of 2185/944,8849/8037 = [GCF of 2185,8849]/[LCM of 944,8037]= 1/7586928

Therefore, the GCF of 2185/944,8849/8037 is 1/7586928.

Greatest Common Factor of 2185,8849

To find the highest common factor of 2185,8849, we have to find the factors of both numbers and list the highest common factor.

The factors of 2185 are 1, 5, 19, 23, 95, 115, 437, 2185

The factors of 8849 are 1, 8849

The HCF of 2185,8849 is 1.

Lets's calculate GCF of 2185,8849

Greatest Common Factor (GCF) of 2185,8849 By Common Division

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

Greatest Common Factor of 2185,8849 By Matching Biggest Common Factor Method

Now, list down the factors of 2185

1,5,19,23,95,115,437,2185

Now, list down the factors of 8849

1,8849

Greatest Common Factor

We found the factors 2185,8849 . The biggest common factor number is the GCF number.
So the greatest common factor 2185,8849 is 1.

Lets's calculate LCM of 944,8037

Lowest Common Multiple of 944,8037 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7586928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7586928

Therefore, the GCF of Fractions 2185/944,8849/8037 is 1/7586928

Least Common Multiple of 944,8037 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 944,8037 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,8037) = 1

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

GCF(944,8037) x common factors =1 x 1 = 1

LCM(944,8037) = ( 944 × 8037 ) / 1

LCM(944,8037) = 7586928 / 1

LCM(944,8037) = 7586928

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FAQs on GCF of Fractions of 2185/944, 8849/8037

1. What is the HCF of 2185,8849?

The HCF of 2185,8849 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 2185/944, 8849/8037?

Answer: GCF of Numerators as per given numbers 2185/944, 8849/8037 is

GCF of Numerators i.e. for 2185,8849 is 1

LCM of denominators i.e. for 944,8037 is 7586928.

Thus, GCF of Fractions is 1/7586928.Finally, GCF of Fractions for 2185/944, 8849/8037 is 1/7586928.