How to Find GCF of 8813/205, 4082/974?

GCF of 8813/205, 4082/974

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 8813/205, 4082/974 i.e 1/199670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8813/205, 4082/974.

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 8813/205,4082/974?

Given fractions are 8813/205,4082/974

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 8813/205,4082/974, numerators are 8813,4082

Denominators are 205,974

The GCF of 8813,4082 is 1 .

LCM of 205,974 is 199670.

The greatest common factor of 8813/205,4082/974 = [GCF of 8813,4082]/[LCM of 205,974]= 1/199670

Therefore, the GCF of 8813/205,4082/974 is 1/199670.

Greatest Common Factor of 8813,4082

To find the highest common factor of 8813,4082, we have to find the factors of both numbers and list the highest common factor.

The factors of 8813 are 1, 7, 1259, 8813

The factors of 4082 are 1, 2, 13, 26, 157, 314, 2041, 4082

The HCF of 8813,4082 is 1.

Lets's calculate GCF of 8813,4082

Greatest Common Factor (GCF) of 8813,4082 By Common Division

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

Greatest Common Factor of 8813,4082 By Matching Biggest Common Factor Method

Now, list down the factors of 8813

1,7,1259,8813

Now, list down the factors of 4082

1,2,13,26,157,314,2041,4082

Greatest Common Factor

We found the factors 8813,4082 . The biggest common factor number is the GCF number.
So the greatest common factor 8813,4082 is 1.

Lets's calculate LCM of 205,974

Lowest Common Multiple of 205,974 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 199670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199670

Therefore, the GCF of Fractions 8813/205,4082/974 is 1/199670

Least Common Multiple of 205,974 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 205,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,974) = 1

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

GCF(205,974) x common factors =1 x 1 = 1

LCM(205,974) = ( 205 × 974 ) / 1

LCM(205,974) = 199670 / 1

LCM(205,974) = 199670

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FAQs on GCF of Fractions of 8813/205, 4082/974

1. What is the HCF of 8813,4082?

The HCF of 8813,4082 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 8813/205, 4082/974?

Answer: GCF of Numerators as per given numbers 8813/205, 4082/974 is

GCF of Numerators i.e. for 8813,4082 is 1

LCM of denominators i.e. for 205,974 is 199670.

Thus, GCF of Fractions is 1/199670.Finally, GCF of Fractions for 8813/205, 4082/974 is 1/199670.