How to Find GCF of 4461/229, 9008/3778?

GCF of 4461/229, 9008/3778

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 4461/229, 9008/3778 i.e 1/865162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4461/229, 9008/3778.

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 4461/229,9008/3778?

Given fractions are 4461/229,9008/3778

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 4461/229,9008/3778, numerators are 4461,9008

Denominators are 229,3778

The GCF of 4461,9008 is 1 .

LCM of 229,3778 is 865162.

The greatest common factor of 4461/229,9008/3778 = [GCF of 4461,9008]/[LCM of 229,3778]= 1/865162

Therefore, the GCF of 4461/229,9008/3778 is 1/865162.

Greatest Common Factor of 4461,9008

To find the highest common factor of 4461,9008, we have to find the factors of both numbers and list the highest common factor.

The factors of 4461 are 1, 3, 1487, 4461

The factors of 9008 are 1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008

The HCF of 4461,9008 is 1.

Lets's calculate GCF of 4461,9008

Greatest Common Factor (GCF) of 4461,9008 By Common Division

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

Greatest Common Factor of 4461,9008 By Matching Biggest Common Factor Method

Now, list down the factors of 4461

1,3,1487,4461

Now, list down the factors of 9008

1,2,4,8,16,563,1126,2252,4504,9008

Greatest Common Factor

We found the factors 4461,9008 . The biggest common factor number is the GCF number.
So the greatest common factor 4461,9008 is 1.

Lets's calculate LCM of 229,3778

Lowest Common Multiple of 229,3778 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 865162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/865162

Therefore, the GCF of Fractions 4461/229,9008/3778 is 1/865162

Least Common Multiple of 229,3778 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 229,3778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,3778) = 1

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

GCF(229,3778) x common factors =1 x 1 = 1

LCM(229,3778) = ( 229 × 3778 ) / 1

LCM(229,3778) = 865162 / 1

LCM(229,3778) = 865162

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4461/229, 9008/3778

1. What is the HCF of 4461,9008?

The HCF of 4461,9008 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 4461/229, 9008/3778?

Answer: GCF of Numerators as per given numbers 4461/229, 9008/3778 is

GCF of Numerators i.e. for 4461,9008 is 1

LCM of denominators i.e. for 229,3778 is 865162.

Thus, GCF of Fractions is 1/865162.Finally, GCF of Fractions for 4461/229, 9008/3778 is 1/865162.