GCF of 1246/642, 9208/4228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1246/642, 9208/4228 i.e 2/1357188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1246/642, 9208/4228.
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 1246/642,9208/4228?
Given fractions are 1246/642,9208/4228
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 1246/642,9208/4228, numerators are 1246,9208
Denominators are 642,4228
The GCF of 1246,9208 is 2 .
LCM of 642,4228 is 1357188.
The greatest common factor of 1246/642,9208/4228 = [GCF of 1246,9208]/[LCM of 642,4228]= 2/1357188
Therefore, the GCF of 1246/642,9208/4228 is 2/1357188.
To find the highest common factor of 1246,9208, we have to find the factors of both numbers and list the highest common factor.
The factors of 1246 are 1, 2, 7, 14, 89, 178, 623, 1246
The factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208
The HCF of 1246,9208 is 2.
Lets's calculate GCF of 1246,9208
| 2 | 1246, 9208 |
| 623, 4604 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1246,9208 By Matching Biggest Common Factor Method
Now, list down the factors of 1246
:1,2,7,14,89,178,623,1246
Now, list down the factors of 9208
:1,2,4,8,1151,2302,4604,9208
Greatest Common Factor
We found the factors 1246,9208 . The biggest common factor number is the GCF number.
So the greatest common factor 1246,9208 is 2.
Lets's calculate LCM of 642,4228
| 2 | 642, 4228 |
| 321, 2114 |
∴ So the LCM of the given numbers is 2 x 321 x 2114 = 1357188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1357188
Therefore, the GCF of Fractions 1246/642,9208/4228 is 2/1357188
Least Common Multiple of 642,4228 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 642,4228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,4228) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,4228) x common factors =2 x 1 = 2
LCM(642,4228) = ( 642 × 4228 ) / 2
LCM(642,4228) = 2714376 / 2
LCM(642,4228) = 1357188
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1246/642, 9208/4228
1. What is the HCF of 1246,9208?
The HCF of 1246,9208 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 1246/642, 9208/4228?
Answer: GCF of Numerators as per given numbers 1246/642, 9208/4228 is
GCF of Numerators i.e. for 1246,9208 is 2
LCM of denominators i.e. for 642,4228 is 1357188.
Thus, GCF of Fractions is 2/1357188.Finally, GCF of Fractions for 1246/642, 9208/4228 is 2/1357188.