GCF of 1302/419, 9238/4511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1302/419, 9238/4511 i.e 62/1890109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1302/419, 9238/4511.
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 1302/419,9238/4511?
Given fractions are 1302/419,9238/4511
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 1302/419,9238/4511, numerators are 1302,9238
Denominators are 419,4511
The GCF of 1302,9238 is 62 .
LCM of 419,4511 is 1890109.
The greatest common factor of 1302/419,9238/4511 = [GCF of 1302,9238]/[LCM of 419,4511]= 62/1890109
Therefore, the GCF of 1302/419,9238/4511 is 62/1890109.
To find the highest common factor of 1302,9238, we have to find the factors of both numbers and list the highest common factor.
The factors of 1302 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302
The factors of 9238 are 1, 2, 31, 62, 149, 298, 4619, 9238
The HCF of 1302,9238 is 62.
Lets's calculate GCF of 1302,9238
| 2 | 1302, 9238 |
| 31 | 651, 4619 |
| 21, 149 |
∴ So the GCF of the given numbers is 2 x 31 = 62
Greatest Common Factor of 1302,9238 By Matching Biggest Common Factor Method
Now, list down the factors of 1302
:1,2,3,6,7,14,21,31,42,62,93,186,217,434,651,1302
Now, list down the factors of 9238
:1,2,31,62,149,298,4619,9238
Greatest Common Factor
We found the factors 1302,9238 . The biggest common factor number is the GCF number.
So the greatest common factor 1302,9238 is 62.
Lets's calculate LCM of 419,4511
Given numbers has no common factors except 1. So, there LCM is their product i.e 1890109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/1890109
Therefore, the GCF of Fractions 1302/419,9238/4511 is 62/1890109
Least Common Multiple of 419,4511 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 419,4511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,4511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,4511) x common factors =1 x 1 = 1
LCM(419,4511) = ( 419 × 4511 ) / 1
LCM(419,4511) = 1890109 / 1
LCM(419,4511) = 1890109
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FAQs on GCF of Fractions of 1302/419, 9238/4511
1. What is the HCF of 1302,9238?
The HCF of 1302,9238 is 62
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 1302/419, 9238/4511?
Answer: GCF of Numerators as per given numbers 1302/419, 9238/4511 is
GCF of Numerators i.e. for 1302,9238 is 62
LCM of denominators i.e. for 419,4511 is 1890109.
Thus, GCF of Fractions is 62/1890109.Finally, GCF of Fractions for 1302/419, 9238/4511 is 62/1890109.