GCF of 609/148, 9826/314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 609/148, 9826/314 i.e 1/23236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 609/148, 9826/314.
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 609/148,9826/314?
Given fractions are 609/148,9826/314
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 609/148,9826/314, numerators are 609,9826
Denominators are 148,314
The GCF of 609,9826 is 1 .
LCM of 148,314 is 23236.
The greatest common factor of 609/148,9826/314 = [GCF of 609,9826]/[LCM of 148,314]= 1/23236
Therefore, the GCF of 609/148,9826/314 is 1/23236.
To find the highest common factor of 609,9826, we have to find the factors of both numbers and list the highest common factor.
The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609
The factors of 9826 are 1, 2, 17, 34, 289, 578, 4913, 9826
The HCF of 609,9826 is 1.
Lets's calculate GCF of 609,9826
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 609,9826 By Matching Biggest Common Factor Method
Now, list down the factors of 609
:1,3,7,21,29,87,203,609
Now, list down the factors of 9826
:1,2,17,34,289,578,4913,9826
Greatest Common Factor
We found the factors 609,9826 . The biggest common factor number is the GCF number.
So the greatest common factor 609,9826 is 1.
Lets's calculate LCM of 148,314
| 2 | 148, 314 |
| 74, 157 |
∴ So the LCM of the given numbers is 2 x 74 x 157 = 23236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23236
Therefore, the GCF of Fractions 609/148,9826/314 is 1/23236
Least Common Multiple of 148,314 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 148,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(148,314) x common factors =2 x 1 = 2
LCM(148,314) = ( 148 × 314 ) / 2
LCM(148,314) = 46472 / 2
LCM(148,314) = 23236
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FAQs on GCF of Fractions of 609/148, 9826/314
1. What is the HCF of 609,9826?
The HCF of 609,9826 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 609/148, 9826/314?
Answer: GCF of Numerators as per given numbers 609/148, 9826/314 is
GCF of Numerators i.e. for 609,9826 is 1
LCM of denominators i.e. for 148,314 is 23236.
Thus, GCF of Fractions is 1/23236.Finally, GCF of Fractions for 609/148, 9826/314 is 1/23236.