How to Find GCF of 9211/360, 3451/479?

GCF of 9211/360, 3451/479

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 9211/360, 3451/479 i.e 1/172440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9211/360, 3451/479.

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 9211/360,3451/479?

Given fractions are 9211/360,3451/479

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 9211/360,3451/479, numerators are 9211,3451

Denominators are 360,479

The GCF of 9211,3451 is 1 .

LCM of 360,479 is 172440.

The greatest common factor of 9211/360,3451/479 = [GCF of 9211,3451]/[LCM of 360,479]= 1/172440

Therefore, the GCF of 9211/360,3451/479 is 1/172440.

Greatest Common Factor of 9211,3451

To find the highest common factor of 9211,3451, we have to find the factors of both numbers and list the highest common factor.

The factors of 9211 are 1, 61, 151, 9211

The factors of 3451 are 1, 7, 17, 29, 119, 203, 493, 3451

The HCF of 9211,3451 is 1.

Lets's calculate GCF of 9211,3451

Greatest Common Factor (GCF) of 9211,3451 By Common Division

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

Greatest Common Factor of 9211,3451 By Matching Biggest Common Factor Method

Now, list down the factors of 9211

1,61,151,9211

Now, list down the factors of 3451

1,7,17,29,119,203,493,3451

Greatest Common Factor

We found the factors 9211,3451 . The biggest common factor number is the GCF number.
So the greatest common factor 9211,3451 is 1.

Lets's calculate LCM of 360,479

Lowest Common Multiple of 360,479 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 172440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172440

Therefore, the GCF of Fractions 9211/360,3451/479 is 1/172440

Least Common Multiple of 360,479 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 360,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,479) = 1

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

GCF(360,479) x common factors =1 x 1 = 1

LCM(360,479) = ( 360 × 479 ) / 1

LCM(360,479) = 172440 / 1

LCM(360,479) = 172440

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FAQs on GCF of Fractions of 9211/360, 3451/479

1. What is the HCF of 9211,3451?

The HCF of 9211,3451 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 9211/360, 3451/479?

Answer: GCF of Numerators as per given numbers 9211/360, 3451/479 is

GCF of Numerators i.e. for 9211,3451 is 1

LCM of denominators i.e. for 360,479 is 172440.

Thus, GCF of Fractions is 1/172440.Finally, GCF of Fractions for 9211/360, 3451/479 is 1/172440.