GCF of 9183/814, 6026/429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9183/814, 6026/429 i.e 1/31746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9183/814, 6026/429.
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 9183/814,6026/429?
Given fractions are 9183/814,6026/429
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 9183/814,6026/429, numerators are 9183,6026
Denominators are 814,429
The GCF of 9183,6026 is 1 .
LCM of 814,429 is 31746.
The greatest common factor of 9183/814,6026/429 = [GCF of 9183,6026]/[LCM of 814,429]= 1/31746
Therefore, the GCF of 9183/814,6026/429 is 1/31746.
To find the highest common factor of 9183,6026, we have to find the factors of both numbers and list the highest common factor.
The factors of 9183 are 1, 3, 3061, 9183
The factors of 6026 are 1, 2, 23, 46, 131, 262, 3013, 6026
The HCF of 9183,6026 is 1.
Lets's calculate GCF of 9183,6026
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9183,6026 By Matching Biggest Common Factor Method
Now, list down the factors of 9183
:1,3,3061,9183
Now, list down the factors of 6026
:1,2,23,46,131,262,3013,6026
Greatest Common Factor
We found the factors 9183,6026 . The biggest common factor number is the GCF number.
So the greatest common factor 9183,6026 is 1.
Lets's calculate LCM of 814,429
| 11 | 814, 429 |
| 74, 39 |
∴ So the LCM of the given numbers is 11 x 74 x 39 = 31746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31746
Therefore, the GCF of Fractions 9183/814,6026/429 is 1/31746
Least Common Multiple of 814,429 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 814,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,429) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(814,429) x common factors =11 x 1 = 11
LCM(814,429) = ( 814 × 429 ) / 11
LCM(814,429) = 349206 / 11
LCM(814,429) = 31746
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FAQs on GCF of Fractions of 9183/814, 6026/429
1. What is the HCF of 9183,6026?
The HCF of 9183,6026 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 9183/814, 6026/429?
Answer: GCF of Numerators as per given numbers 9183/814, 6026/429 is
GCF of Numerators i.e. for 9183,6026 is 1
LCM of denominators i.e. for 814,429 is 31746.
Thus, GCF of Fractions is 1/31746.Finally, GCF of Fractions for 9183/814, 6026/429 is 1/31746.