GCF of 225/47, 880/681
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 225/47, 880/681 i.e 5/32007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 225/47, 880/681.
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 225/47,880/681?
Given fractions are 225/47,880/681
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 225/47,880/681, numerators are 225,880
Denominators are 47,681
The GCF of 225,880 is 5 .
LCM of 47,681 is 32007.
The greatest common factor of 225/47,880/681 = [GCF of 225,880]/[LCM of 47,681]= 5/32007
Therefore, the GCF of 225/47,880/681 is 5/32007.
To find the highest common factor of 225,880, we have to find the factors of both numbers and list the highest common factor.
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 225,880 is 5.
Lets's calculate GCF of 225,880
| 5 | 225, 880 |
| 45, 176 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 225,880 By Matching Biggest Common Factor Method
Now, list down the factors of 225
:1,3,5,9,15,25,45,75,225
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 225,880 . The biggest common factor number is the GCF number.
So the greatest common factor 225,880 is 5.
Lets's calculate LCM of 47,681
Given numbers has no common factors except 1. So, there LCM is their product i.e 32007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/32007
Therefore, the GCF of Fractions 225/47,880/681 is 5/32007
Least Common Multiple of 47,681 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 47,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,681) x common factors =1 x 1 = 1
LCM(47,681) = ( 47 × 681 ) / 1
LCM(47,681) = 32007 / 1
LCM(47,681) = 32007
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 225/47, 880/681
1. What is the HCF of 225,880?
The HCF of 225,880 is 5
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 225/47, 880/681?
Answer: GCF of Numerators as per given numbers 225/47, 880/681 is
GCF of Numerators i.e. for 225,880 is 5
LCM of denominators i.e. for 47,681 is 32007.
Thus, GCF of Fractions is 5/32007.Finally, GCF of Fractions for 225/47, 880/681 is 5/32007.