How to Find GCF of 1082/665, 9473/4188?

GCF of 1082/665, 9473/4188

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 1082/665, 9473/4188 i.e 1/2785020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1082/665, 9473/4188.

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 1082/665,9473/4188?

Given fractions are 1082/665,9473/4188

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 1082/665,9473/4188, numerators are 1082,9473

Denominators are 665,4188

The GCF of 1082,9473 is 1 .

LCM of 665,4188 is 2785020.

The greatest common factor of 1082/665,9473/4188 = [GCF of 1082,9473]/[LCM of 665,4188]= 1/2785020

Therefore, the GCF of 1082/665,9473/4188 is 1/2785020.

Greatest Common Factor of 1082,9473

To find the highest common factor of 1082,9473, we have to find the factors of both numbers and list the highest common factor.

The factors of 1082 are 1, 2, 541, 1082

The factors of 9473 are 1, 9473

The HCF of 1082,9473 is 1.

Lets's calculate GCF of 1082,9473

Greatest Common Factor (GCF) of 1082,9473 By Common Division

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

Greatest Common Factor of 1082,9473 By Matching Biggest Common Factor Method

Now, list down the factors of 1082

1,2,541,1082

Now, list down the factors of 9473

1,9473

Greatest Common Factor

We found the factors 1082,9473 . The biggest common factor number is the GCF number.
So the greatest common factor 1082,9473 is 1.

Lets's calculate LCM of 665,4188

Lowest Common Multiple of 665,4188 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2785020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2785020

Therefore, the GCF of Fractions 1082/665,9473/4188 is 1/2785020

Least Common Multiple of 665,4188 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 665,4188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,4188) = 1

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

GCF(665,4188) x common factors =1 x 1 = 1

LCM(665,4188) = ( 665 × 4188 ) / 1

LCM(665,4188) = 2785020 / 1

LCM(665,4188) = 2785020

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FAQs on GCF of Fractions of 1082/665, 9473/4188

1. What is the HCF of 1082,9473?

The HCF of 1082,9473 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 1082/665, 9473/4188?

Answer: GCF of Numerators as per given numbers 1082/665, 9473/4188 is

GCF of Numerators i.e. for 1082,9473 is 1

LCM of denominators i.e. for 665,4188 is 2785020.

Thus, GCF of Fractions is 1/2785020.Finally, GCF of Fractions for 1082/665, 9473/4188 is 1/2785020.