GCF of 2226/346, 6926/888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2226/346, 6926/888 i.e 2/153624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2226/346, 6926/888.
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 2226/346,6926/888?
Given fractions are 2226/346,6926/888
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 2226/346,6926/888, numerators are 2226,6926
Denominators are 346,888
The GCF of 2226,6926 is 2 .
LCM of 346,888 is 153624.
The greatest common factor of 2226/346,6926/888 = [GCF of 2226,6926]/[LCM of 346,888]= 2/153624
Therefore, the GCF of 2226/346,6926/888 is 2/153624.
To find the highest common factor of 2226,6926, we have to find the factors of both numbers and list the highest common factor.
The factors of 2226 are 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 1113, 2226
The factors of 6926 are 1, 2, 3463, 6926
The HCF of 2226,6926 is 2.
Lets's calculate GCF of 2226,6926
| 2 | 2226, 6926 |
| 1113, 3463 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2226,6926 By Matching Biggest Common Factor Method
Now, list down the factors of 2226
:1,2,3,6,7,14,21,42,53,106,159,318,371,742,1113,2226
Now, list down the factors of 6926
:1,2,3463,6926
Greatest Common Factor
We found the factors 2226,6926 . The biggest common factor number is the GCF number.
So the greatest common factor 2226,6926 is 2.
Lets's calculate LCM of 346,888
| 2 | 346, 888 |
| 173, 444 |
∴ So the LCM of the given numbers is 2 x 173 x 444 = 153624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/153624
Therefore, the GCF of Fractions 2226/346,6926/888 is 2/153624
Least Common Multiple of 346,888 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 346,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,888) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,888) x common factors =2 x 1 = 2
LCM(346,888) = ( 346 × 888 ) / 2
LCM(346,888) = 307248 / 2
LCM(346,888) = 153624
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2226/346, 6926/888
1. What is the HCF of 2226,6926?
The HCF of 2226,6926 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 2226/346, 6926/888?
Answer: GCF of Numerators as per given numbers 2226/346, 6926/888 is
GCF of Numerators i.e. for 2226,6926 is 2
LCM of denominators i.e. for 346,888 is 153624.
Thus, GCF of Fractions is 2/153624.Finally, GCF of Fractions for 2226/346, 6926/888 is 2/153624.