GCF of 4293/606, 3713/315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4293/606, 3713/315 i.e 1/63630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4293/606, 3713/315.
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 4293/606,3713/315?
Given fractions are 4293/606,3713/315
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 4293/606,3713/315, numerators are 4293,3713
Denominators are 606,315
The GCF of 4293,3713 is 1 .
LCM of 606,315 is 63630.
The greatest common factor of 4293/606,3713/315 = [GCF of 4293,3713]/[LCM of 606,315]= 1/63630
Therefore, the GCF of 4293/606,3713/315 is 1/63630.
To find the highest common factor of 4293,3713, we have to find the factors of both numbers and list the highest common factor.
The factors of 4293 are 1, 3, 9, 27, 53, 81, 159, 477, 1431, 4293
The factors of 3713 are 1, 47, 79, 3713
The HCF of 4293,3713 is 1.
Lets's calculate GCF of 4293,3713
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4293,3713 By Matching Biggest Common Factor Method
Now, list down the factors of 4293
:1,3,9,27,53,81,159,477,1431,4293
Now, list down the factors of 3713
:1,47,79,3713
Greatest Common Factor
We found the factors 4293,3713 . The biggest common factor number is the GCF number.
So the greatest common factor 4293,3713 is 1.
Lets's calculate LCM of 606,315
| 3 | 606, 315 |
| 202, 105 |
∴ So the LCM of the given numbers is 3 x 202 x 105 = 63630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63630
Therefore, the GCF of Fractions 4293/606,3713/315 is 1/63630
Least Common Multiple of 606,315 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 606,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,315) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(606,315) x common factors =3 x 1 = 3
LCM(606,315) = ( 606 × 315 ) / 3
LCM(606,315) = 190890 / 3
LCM(606,315) = 63630
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FAQs on GCF of Fractions of 4293/606, 3713/315
1. What is the HCF of 4293,3713?
The HCF of 4293,3713 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 4293/606, 3713/315?
Answer: GCF of Numerators as per given numbers 4293/606, 3713/315 is
GCF of Numerators i.e. for 4293,3713 is 1
LCM of denominators i.e. for 606,315 is 63630.
Thus, GCF of Fractions is 1/63630.Finally, GCF of Fractions for 4293/606, 3713/315 is 1/63630.