GCF of 226/426, 1597/852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 226/426, 1597/852 i.e 1/852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/426, 1597/852.
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 226/426,1597/852?
Given fractions are 226/426,1597/852
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 226/426,1597/852, numerators are 226,1597
Denominators are 426,852
The GCF of 226,1597 is 1 .
LCM of 426,852 is 852.
The greatest common factor of 226/426,1597/852 = [GCF of 226,1597]/[LCM of 426,852]= 1/852
Therefore, the GCF of 226/426,1597/852 is 1/852.
To find the highest common factor of 226,1597, we have to find the factors of both numbers and list the highest common factor.
The factors of 226 are 1, 2, 113, 226
The factors of 1597 are 1, 1597
The HCF of 226,1597 is 1.
Lets's calculate GCF of 226,1597
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 226,1597 By Matching Biggest Common Factor Method
Now, list down the factors of 226
:1,2,113,226
Now, list down the factors of 1597
:1,1597
Greatest Common Factor
We found the factors 226,1597 . The biggest common factor number is the GCF number.
So the greatest common factor 226,1597 is 1.
Lets's calculate LCM of 426,852
| 2 | 426, 852 |
| 3 | 213, 426 |
| 71 | 71, 142 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 71 x 1 x 2 = 852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/852
Therefore, the GCF of Fractions 226/426,1597/852 is 1/852
Least Common Multiple of 426,852 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 426,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,852) = 426
common factors(in case of two or more numbers have common factors) = 1
GCF(426,852) x common factors =426 x 1 = 426
LCM(426,852) = ( 426 × 852 ) / 426
LCM(426,852) = 362952 / 426
LCM(426,852) = 852
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 226/426, 1597/852
1. What is the HCF of 226,1597?
The HCF of 226,1597 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 226/426, 1597/852?
Answer: GCF of Numerators as per given numbers 226/426, 1597/852 is
GCF of Numerators i.e. for 226,1597 is 1
LCM of denominators i.e. for 426,852 is 852.
Thus, GCF of Fractions is 1/852.Finally, GCF of Fractions for 226/426, 1597/852 is 1/852.