GCF of 3146/362, 9293/9614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3146/362, 9293/9614 i.e 1/1740134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3146/362, 9293/9614.
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 3146/362,9293/9614?
Given fractions are 3146/362,9293/9614
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 3146/362,9293/9614, numerators are 3146,9293
Denominators are 362,9614
The GCF of 3146,9293 is 1 .
LCM of 362,9614 is 1740134.
The greatest common factor of 3146/362,9293/9614 = [GCF of 3146,9293]/[LCM of 362,9614]= 1/1740134
Therefore, the GCF of 3146/362,9293/9614 is 1/1740134.
To find the highest common factor of 3146,9293, we have to find the factors of both numbers and list the highest common factor.
The factors of 3146 are 1, 2, 11, 13, 22, 26, 121, 143, 242, 286, 1573, 3146
The factors of 9293 are 1, 9293
The HCF of 3146,9293 is 1.
Lets's calculate GCF of 3146,9293
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3146,9293 By Matching Biggest Common Factor Method
Now, list down the factors of 3146
:1,2,11,13,22,26,121,143,242,286,1573,3146
Now, list down the factors of 9293
:1,9293
Greatest Common Factor
We found the factors 3146,9293 . The biggest common factor number is the GCF number.
So the greatest common factor 3146,9293 is 1.
Lets's calculate LCM of 362,9614
| 2 | 362, 9614 |
| 181, 4807 |
∴ So the LCM of the given numbers is 2 x 181 x 4807 = 1740134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1740134
Therefore, the GCF of Fractions 3146/362,9293/9614 is 1/1740134
Least Common Multiple of 362,9614 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 362,9614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,9614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,9614) x common factors =2 x 1 = 2
LCM(362,9614) = ( 362 × 9614 ) / 2
LCM(362,9614) = 3480268 / 2
LCM(362,9614) = 1740134
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FAQs on GCF of Fractions of 3146/362, 9293/9614
1. What is the HCF of 3146,9293?
The HCF of 3146,9293 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 3146/362, 9293/9614?
Answer: GCF of Numerators as per given numbers 3146/362, 9293/9614 is
GCF of Numerators i.e. for 3146,9293 is 1
LCM of denominators i.e. for 362,9614 is 1740134.
Thus, GCF of Fractions is 1/1740134.Finally, GCF of Fractions for 3146/362, 9293/9614 is 1/1740134.