How to Find GCF of 2185/769, 9283/3012?

GCF of 2185/769, 9283/3012

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 2185/769, 9283/3012 i.e 1/2316228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2185/769, 9283/3012.

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 2185/769,9283/3012?

Given fractions are 2185/769,9283/3012

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 2185/769,9283/3012, numerators are 2185,9283

Denominators are 769,3012

The GCF of 2185,9283 is 1 .

LCM of 769,3012 is 2316228.

The greatest common factor of 2185/769,9283/3012 = [GCF of 2185,9283]/[LCM of 769,3012]= 1/2316228

Therefore, the GCF of 2185/769,9283/3012 is 1/2316228.

Greatest Common Factor of 2185,9283

To find the highest common factor of 2185,9283, 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 9283 are 1, 9283

The HCF of 2185,9283 is 1.

Lets's calculate GCF of 2185,9283

Greatest Common Factor (GCF) of 2185,9283 By Common Division

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

Greatest Common Factor of 2185,9283 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 9283

1,9283

Greatest Common Factor

We found the factors 2185,9283 . The biggest common factor number is the GCF number.
So the greatest common factor 2185,9283 is 1.

Lets's calculate LCM of 769,3012

Lowest Common Multiple of 769,3012 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2316228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2316228

Therefore, the GCF of Fractions 2185/769,9283/3012 is 1/2316228

Least Common Multiple of 769,3012 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 769,3012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,3012) = 1

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

GCF(769,3012) x common factors =1 x 1 = 1

LCM(769,3012) = ( 769 × 3012 ) / 1

LCM(769,3012) = 2316228 / 1

LCM(769,3012) = 2316228

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FAQs on GCF of Fractions of 2185/769, 9283/3012

1. What is the HCF of 2185,9283?

The HCF of 2185,9283 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 2185/769, 9283/3012?

Answer: GCF of Numerators as per given numbers 2185/769, 9283/3012 is

GCF of Numerators i.e. for 2185,9283 is 1

LCM of denominators i.e. for 769,3012 is 2316228.

Thus, GCF of Fractions is 1/2316228.Finally, GCF of Fractions for 2185/769, 9283/3012 is 1/2316228.