GCF of 1228/267, 3494/2225
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1228/267, 3494/2225 i.e 2/6675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1228/267, 3494/2225.
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 1228/267,3494/2225?
Given fractions are 1228/267,3494/2225
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 1228/267,3494/2225, numerators are 1228,3494
Denominators are 267,2225
The GCF of 1228,3494 is 2 .
LCM of 267,2225 is 6675.
The greatest common factor of 1228/267,3494/2225 = [GCF of 1228,3494]/[LCM of 267,2225]= 2/6675
Therefore, the GCF of 1228/267,3494/2225 is 2/6675.
To find the highest common factor of 1228,3494, we have to find the factors of both numbers and list the highest common factor.
The factors of 1228 are 1, 2, 4, 307, 614, 1228
The factors of 3494 are 1, 2, 1747, 3494
The HCF of 1228,3494 is 2.
Lets's calculate GCF of 1228,3494
| 2 | 1228, 3494 |
| 614, 1747 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1228,3494 By Matching Biggest Common Factor Method
Now, list down the factors of 1228
:1,2,4,307,614,1228
Now, list down the factors of 3494
:1,2,1747,3494
Greatest Common Factor
We found the factors 1228,3494 . The biggest common factor number is the GCF number.
So the greatest common factor 1228,3494 is 2.
Lets's calculate LCM of 267,2225
| 89 | 267, 2225 |
| 3, 25 |
∴ So the LCM of the given numbers is 89 x 3 x 25 = 6675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6675
Therefore, the GCF of Fractions 1228/267,3494/2225 is 2/6675
Least Common Multiple of 267,2225 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 267,2225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,2225) = 89
common factors(in case of two or more numbers have common factors) = 1
GCF(267,2225) x common factors =89 x 1 = 89
LCM(267,2225) = ( 267 × 2225 ) / 89
LCM(267,2225) = 594075 / 89
LCM(267,2225) = 6675
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1228/267, 3494/2225
1. What is the HCF of 1228,3494?
The HCF of 1228,3494 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 1228/267, 3494/2225?
Answer: GCF of Numerators as per given numbers 1228/267, 3494/2225 is
GCF of Numerators i.e. for 1228,3494 is 2
LCM of denominators i.e. for 267,2225 is 6675.
Thus, GCF of Fractions is 2/6675.Finally, GCF of Fractions for 1228/267, 3494/2225 is 2/6675.