GCF of 1846/827, 3266/5197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1846/827, 3266/5197 i.e 142/4297919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1846/827, 3266/5197.
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 1846/827,3266/5197?
Given fractions are 1846/827,3266/5197
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 1846/827,3266/5197, numerators are 1846,3266
Denominators are 827,5197
The GCF of 1846,3266 is 142 .
LCM of 827,5197 is 4297919.
The greatest common factor of 1846/827,3266/5197 = [GCF of 1846,3266]/[LCM of 827,5197]= 142/4297919
Therefore, the GCF of 1846/827,3266/5197 is 142/4297919.
To find the highest common factor of 1846,3266, we have to find the factors of both numbers and list the highest common factor.
The factors of 1846 are 1, 2, 13, 26, 71, 142, 923, 1846
The factors of 3266 are 1, 2, 23, 46, 71, 142, 1633, 3266
The HCF of 1846,3266 is 142.
Lets's calculate GCF of 1846,3266
| 2 | 1846, 3266 |
| 71 | 923, 1633 |
| 13, 23 |
∴ So the GCF of the given numbers is 2 x 71 = 142
Greatest Common Factor of 1846,3266 By Matching Biggest Common Factor Method
Now, list down the factors of 1846
:1,2,13,26,71,142,923,1846
Now, list down the factors of 3266
:1,2,23,46,71,142,1633,3266
Greatest Common Factor
We found the factors 1846,3266 . The biggest common factor number is the GCF number.
So the greatest common factor 1846,3266 is 142.
Lets's calculate LCM of 827,5197
Given numbers has no common factors except 1. So, there LCM is their product i.e 4297919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 142/4297919
Therefore, the GCF of Fractions 1846/827,3266/5197 is 142/4297919
Least Common Multiple of 827,5197 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 827,5197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,5197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,5197) x common factors =1 x 1 = 1
LCM(827,5197) = ( 827 × 5197 ) / 1
LCM(827,5197) = 4297919 / 1
LCM(827,5197) = 4297919
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FAQs on GCF of Fractions of 1846/827, 3266/5197
1. What is the HCF of 1846,3266?
The HCF of 1846,3266 is 142
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 1846/827, 3266/5197?
Answer: GCF of Numerators as per given numbers 1846/827, 3266/5197 is
GCF of Numerators i.e. for 1846,3266 is 142
LCM of denominators i.e. for 827,5197 is 4297919.
Thus, GCF of Fractions is 142/4297919.Finally, GCF of Fractions for 1846/827, 3266/5197 is 142/4297919.