GCF of 294/52, 221/4106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 294/52, 221/4106 i.e 1/106756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/52, 221/4106.
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 294/52,221/4106?
Given fractions are 294/52,221/4106
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 294/52,221/4106, numerators are 294,221
Denominators are 52,4106
The GCF of 294,221 is 1 .
LCM of 52,4106 is 106756.
The greatest common factor of 294/52,221/4106 = [GCF of 294,221]/[LCM of 52,4106]= 1/106756
Therefore, the GCF of 294/52,221/4106 is 1/106756.
To find the highest common factor of 294,221, we have to find the factors of both numbers and list the highest common factor.
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The factors of 221 are 1, 13, 17, 221
The HCF of 294,221 is 1.
Lets's calculate GCF of 294,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 294,221 By Matching Biggest Common Factor Method
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Now, list down the factors of 221
:1,13,17,221
Greatest Common Factor
We found the factors 294,221 . The biggest common factor number is the GCF number.
So the greatest common factor 294,221 is 1.
Lets's calculate LCM of 52,4106
| 2 | 52, 4106 |
| 26, 2053 |
∴ So the LCM of the given numbers is 2 x 26 x 2053 = 106756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106756
Therefore, the GCF of Fractions 294/52,221/4106 is 1/106756
Least Common Multiple of 52,4106 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 52,4106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,4106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(52,4106) x common factors =2 x 1 = 2
LCM(52,4106) = ( 52 × 4106 ) / 2
LCM(52,4106) = 213512 / 2
LCM(52,4106) = 106756
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 294/52, 221/4106
1. What is the HCF of 294,221?
The HCF of 294,221 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 294/52, 221/4106?
Answer: GCF of Numerators as per given numbers 294/52, 221/4106 is
GCF of Numerators i.e. for 294,221 is 1
LCM of denominators i.e. for 52,4106 is 106756.
Thus, GCF of Fractions is 1/106756.Finally, GCF of Fractions for 294/52, 221/4106 is 1/106756.