How to Find GCF of 4211/477, 4255/9104?

GCF of 4211/477, 4255/9104

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 4211/477, 4255/9104 i.e 1/4342608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4211/477, 4255/9104.

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 4211/477,4255/9104?

Given fractions are 4211/477,4255/9104

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 4211/477,4255/9104, numerators are 4211,4255

Denominators are 477,9104

The GCF of 4211,4255 is 1 .

LCM of 477,9104 is 4342608.

The greatest common factor of 4211/477,4255/9104 = [GCF of 4211,4255]/[LCM of 477,9104]= 1/4342608

Therefore, the GCF of 4211/477,4255/9104 is 1/4342608.

Greatest Common Factor of 4211,4255

To find the highest common factor of 4211,4255, we have to find the factors of both numbers and list the highest common factor.

The factors of 4211 are 1, 4211

The factors of 4255 are 1, 5, 23, 37, 115, 185, 851, 4255

The HCF of 4211,4255 is 1.

Lets's calculate GCF of 4211,4255

Greatest Common Factor (GCF) of 4211,4255 By Common Division

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

Greatest Common Factor of 4211,4255 By Matching Biggest Common Factor Method

Now, list down the factors of 4211

1,4211

Now, list down the factors of 4255

1,5,23,37,115,185,851,4255

Greatest Common Factor

We found the factors 4211,4255 . The biggest common factor number is the GCF number.
So the greatest common factor 4211,4255 is 1.

Lets's calculate LCM of 477,9104

Lowest Common Multiple of 477,9104 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4342608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4342608

Therefore, the GCF of Fractions 4211/477,4255/9104 is 1/4342608

Least Common Multiple of 477,9104 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 477,9104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,9104) = 1

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

GCF(477,9104) x common factors =1 x 1 = 1

LCM(477,9104) = ( 477 × 9104 ) / 1

LCM(477,9104) = 4342608 / 1

LCM(477,9104) = 4342608

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FAQs on GCF of Fractions of 4211/477, 4255/9104

1. What is the HCF of 4211,4255?

The HCF of 4211,4255 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 4211/477, 4255/9104?

Answer: GCF of Numerators as per given numbers 4211/477, 4255/9104 is

GCF of Numerators i.e. for 4211,4255 is 1

LCM of denominators i.e. for 477,9104 is 4342608.

Thus, GCF of Fractions is 1/4342608.Finally, GCF of Fractions for 4211/477, 4255/9104 is 1/4342608.