How to Find GCF of 8072/211, 4454/9390?

GCF of 8072/211, 4454/9390

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 8072/211, 4454/9390 i.e 2/1981290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8072/211, 4454/9390.

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 8072/211,4454/9390?

Given fractions are 8072/211,4454/9390

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 8072/211,4454/9390, numerators are 8072,4454

Denominators are 211,9390

The GCF of 8072,4454 is 2 .

LCM of 211,9390 is 1981290.

The greatest common factor of 8072/211,4454/9390 = [GCF of 8072,4454]/[LCM of 211,9390]= 2/1981290

Therefore, the GCF of 8072/211,4454/9390 is 2/1981290.

Greatest Common Factor of 8072,4454

To find the highest common factor of 8072,4454, we have to find the factors of both numbers and list the highest common factor.

The factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072

The factors of 4454 are 1, 2, 17, 34, 131, 262, 2227, 4454

The HCF of 8072,4454 is 2.

Lets's calculate GCF of 8072,4454

Greatest Common Factor (GCF) of 8072,4454 By Common Division

2	8072, 4454
	4036, 2227

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8072,4454 By Matching Biggest Common Factor Method

Now, list down the factors of 8072

1,2,4,8,1009,2018,4036,8072

Now, list down the factors of 4454

1,2,17,34,131,262,2227,4454

Greatest Common Factor

We found the factors 8072,4454 . The biggest common factor number is the GCF number.
So the greatest common factor 8072,4454 is 2.

Lets's calculate LCM of 211,9390

Lowest Common Multiple of 211,9390 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1981290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1981290

Therefore, the GCF of Fractions 8072/211,4454/9390 is 2/1981290

Least Common Multiple of 211,9390 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 211,9390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,9390) = 1

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

GCF(211,9390) x common factors =1 x 1 = 1

LCM(211,9390) = ( 211 × 9390 ) / 1

LCM(211,9390) = 1981290 / 1

LCM(211,9390) = 1981290

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FAQs on GCF of Fractions of 8072/211, 4454/9390

1. What is the HCF of 8072,4454?

The HCF of 8072,4454 is 2

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 8072/211, 4454/9390?

Answer: GCF of Numerators as per given numbers 8072/211, 4454/9390 is

GCF of Numerators i.e. for 8072,4454 is 2

LCM of denominators i.e. for 211,9390 is 1981290.

Thus, GCF of Fractions is 2/1981290.Finally, GCF of Fractions for 8072/211, 4454/9390 is 2/1981290.