GCF of 1317/202, 2324/8094
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1317/202, 2324/8094 i.e 1/817494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1317/202, 2324/8094.
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 1317/202,2324/8094?
Given fractions are 1317/202,2324/8094
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 1317/202,2324/8094, numerators are 1317,2324
Denominators are 202,8094
The GCF of 1317,2324 is 1 .
LCM of 202,8094 is 817494.
The greatest common factor of 1317/202,2324/8094 = [GCF of 1317,2324]/[LCM of 202,8094]= 1/817494
Therefore, the GCF of 1317/202,2324/8094 is 1/817494.
To find the highest common factor of 1317,2324, we have to find the factors of both numbers and list the highest common factor.
The factors of 1317 are 1, 3, 439, 1317
The factors of 2324 are 1, 2, 4, 7, 14, 28, 83, 166, 332, 581, 1162, 2324
The HCF of 1317,2324 is 1.
Lets's calculate GCF of 1317,2324
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1317,2324 By Matching Biggest Common Factor Method
Now, list down the factors of 1317
:1,3,439,1317
Now, list down the factors of 2324
:1,2,4,7,14,28,83,166,332,581,1162,2324
Greatest Common Factor
We found the factors 1317,2324 . The biggest common factor number is the GCF number.
So the greatest common factor 1317,2324 is 1.
Lets's calculate LCM of 202,8094
| 2 | 202, 8094 |
| 101, 4047 |
∴ So the LCM of the given numbers is 2 x 101 x 4047 = 817494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/817494
Therefore, the GCF of Fractions 1317/202,2324/8094 is 1/817494
Least Common Multiple of 202,8094 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 202,8094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,8094) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,8094) x common factors =2 x 1 = 2
LCM(202,8094) = ( 202 × 8094 ) / 2
LCM(202,8094) = 1634988 / 2
LCM(202,8094) = 817494
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FAQs on GCF of Fractions of 1317/202, 2324/8094
1. What is the HCF of 1317,2324?
The HCF of 1317,2324 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 1317/202, 2324/8094?
Answer: GCF of Numerators as per given numbers 1317/202, 2324/8094 is
GCF of Numerators i.e. for 1317,2324 is 1
LCM of denominators i.e. for 202,8094 is 817494.
Thus, GCF of Fractions is 1/817494.Finally, GCF of Fractions for 1317/202, 2324/8094 is 1/817494.