GCF of 226/22, 507/842
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 226/22, 507/842 i.e 1/9262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/22, 507/842.
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 226/22,507/842?
Given fractions are 226/22,507/842
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 226/22,507/842, numerators are 226,507
Denominators are 22,842
The GCF of 226,507 is 1 .
LCM of 22,842 is 9262.
The greatest common factor of 226/22,507/842 = [GCF of 226,507]/[LCM of 22,842]= 1/9262
Therefore, the GCF of 226/22,507/842 is 1/9262.
To find the highest common factor of 226,507, 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 507 are 1, 3, 13, 39, 169, 507
The HCF of 226,507 is 1.
Lets's calculate GCF of 226,507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 226,507 By Matching Biggest Common Factor Method
Now, list down the factors of 226
:1,2,113,226
Now, list down the factors of 507
:1,3,13,39,169,507
Greatest Common Factor
We found the factors 226,507 . The biggest common factor number is the GCF number.
So the greatest common factor 226,507 is 1.
Lets's calculate LCM of 22,842
| 2 | 22, 842 |
| 11, 421 |
∴ So the LCM of the given numbers is 2 x 11 x 421 = 9262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9262
Therefore, the GCF of Fractions 226/22,507/842 is 1/9262
Least Common Multiple of 22,842 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 22,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,842) x common factors =2 x 1 = 2
LCM(22,842) = ( 22 × 842 ) / 2
LCM(22,842) = 18524 / 2
LCM(22,842) = 9262
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 226/22, 507/842
1. What is the HCF of 226,507?
The HCF of 226,507 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 226/22, 507/842?
Answer: GCF of Numerators as per given numbers 226/22, 507/842 is
GCF of Numerators i.e. for 226,507 is 1
LCM of denominators i.e. for 22,842 is 9262.
Thus, GCF of Fractions is 1/9262.Finally, GCF of Fractions for 226/22, 507/842 is 1/9262.