GCF of 7836/317, 1929/146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7836/317, 1929/146 i.e 3/46282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7836/317, 1929/146.
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 7836/317,1929/146?
Given fractions are 7836/317,1929/146
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 7836/317,1929/146, numerators are 7836,1929
Denominators are 317,146
The GCF of 7836,1929 is 3 .
LCM of 317,146 is 46282.
The greatest common factor of 7836/317,1929/146 = [GCF of 7836,1929]/[LCM of 317,146]= 3/46282
Therefore, the GCF of 7836/317,1929/146 is 3/46282.
To find the highest common factor of 7836,1929, we have to find the factors of both numbers and list the highest common factor.
The factors of 7836 are 1, 2, 3, 4, 6, 12, 653, 1306, 1959, 2612, 3918, 7836
The factors of 1929 are 1, 3, 643, 1929
The HCF of 7836,1929 is 3.
Lets's calculate GCF of 7836,1929
| 3 | 7836, 1929 |
| 2612, 643 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7836,1929 By Matching Biggest Common Factor Method
Now, list down the factors of 7836
:1,2,3,4,6,12,653,1306,1959,2612,3918,7836
Now, list down the factors of 1929
:1,3,643,1929
Greatest Common Factor
We found the factors 7836,1929 . The biggest common factor number is the GCF number.
So the greatest common factor 7836,1929 is 3.
Lets's calculate LCM of 317,146
Given numbers has no common factors except 1. So, there LCM is their product i.e 46282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/46282
Therefore, the GCF of Fractions 7836/317,1929/146 is 3/46282
Least Common Multiple of 317,146 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 317,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,146) x common factors =1 x 1 = 1
LCM(317,146) = ( 317 × 146 ) / 1
LCM(317,146) = 46282 / 1
LCM(317,146) = 46282
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FAQs on GCF of Fractions of 7836/317, 1929/146
1. What is the HCF of 7836,1929?
The HCF of 7836,1929 is 3
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 7836/317, 1929/146?
Answer: GCF of Numerators as per given numbers 7836/317, 1929/146 is
GCF of Numerators i.e. for 7836,1929 is 3
LCM of denominators i.e. for 317,146 is 46282.
Thus, GCF of Fractions is 3/46282.Finally, GCF of Fractions for 7836/317, 1929/146 is 3/46282.