How to Find GCF of 9005/974, 1868/6993?

GCF of 9005/974, 1868/6993

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 9005/974, 1868/6993 i.e 1/6811182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9005/974, 1868/6993.

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 9005/974,1868/6993?

Given fractions are 9005/974,1868/6993

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 9005/974,1868/6993, numerators are 9005,1868

Denominators are 974,6993

The GCF of 9005,1868 is 1 .

LCM of 974,6993 is 6811182.

The greatest common factor of 9005/974,1868/6993 = [GCF of 9005,1868]/[LCM of 974,6993]= 1/6811182

Therefore, the GCF of 9005/974,1868/6993 is 1/6811182.

Greatest Common Factor of 9005,1868

To find the highest common factor of 9005,1868, we have to find the factors of both numbers and list the highest common factor.

The factors of 9005 are 1, 5, 1801, 9005

The factors of 1868 are 1, 2, 4, 467, 934, 1868

The HCF of 9005,1868 is 1.

Lets's calculate GCF of 9005,1868

Greatest Common Factor (GCF) of 9005,1868 By Common Division

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

Greatest Common Factor of 9005,1868 By Matching Biggest Common Factor Method

Now, list down the factors of 9005

1,5,1801,9005

Now, list down the factors of 1868

1,2,4,467,934,1868

Greatest Common Factor

We found the factors 9005,1868 . The biggest common factor number is the GCF number.
So the greatest common factor 9005,1868 is 1.

Lets's calculate LCM of 974,6993

Lowest Common Multiple of 974,6993 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6811182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6811182

Therefore, the GCF of Fractions 9005/974,1868/6993 is 1/6811182

Least Common Multiple of 974,6993 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 974,6993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,6993) = 1

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

GCF(974,6993) x common factors =1 x 1 = 1

LCM(974,6993) = ( 974 × 6993 ) / 1

LCM(974,6993) = 6811182 / 1

LCM(974,6993) = 6811182

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FAQs on GCF of Fractions of 9005/974, 1868/6993

1. What is the HCF of 9005,1868?

The HCF of 9005,1868 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 9005/974, 1868/6993?

Answer: GCF of Numerators as per given numbers 9005/974, 1868/6993 is

GCF of Numerators i.e. for 9005,1868 is 1

LCM of denominators i.e. for 974,6993 is 6811182.

Thus, GCF of Fractions is 1/6811182.Finally, GCF of Fractions for 9005/974, 1868/6993 is 1/6811182.