GCF of 4742/368, 6668/2306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4742/368, 6668/2306 i.e 2/424304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4742/368, 6668/2306.
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 4742/368,6668/2306?
Given fractions are 4742/368,6668/2306
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 4742/368,6668/2306, numerators are 4742,6668
Denominators are 368,2306
The GCF of 4742,6668 is 2 .
LCM of 368,2306 is 424304.
The greatest common factor of 4742/368,6668/2306 = [GCF of 4742,6668]/[LCM of 368,2306]= 2/424304
Therefore, the GCF of 4742/368,6668/2306 is 2/424304.
To find the highest common factor of 4742,6668, we have to find the factors of both numbers and list the highest common factor.
The factors of 4742 are 1, 2, 2371, 4742
The factors of 6668 are 1, 2, 4, 1667, 3334, 6668
The HCF of 4742,6668 is 2.
Lets's calculate GCF of 4742,6668
| 2 | 4742, 6668 |
| 2371, 3334 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4742,6668 By Matching Biggest Common Factor Method
Now, list down the factors of 4742
:1,2,2371,4742
Now, list down the factors of 6668
:1,2,4,1667,3334,6668
Greatest Common Factor
We found the factors 4742,6668 . The biggest common factor number is the GCF number.
So the greatest common factor 4742,6668 is 2.
Lets's calculate LCM of 368,2306
| 2 | 368, 2306 |
| 184, 1153 |
∴ So the LCM of the given numbers is 2 x 184 x 1153 = 424304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/424304
Therefore, the GCF of Fractions 4742/368,6668/2306 is 2/424304
Least Common Multiple of 368,2306 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 368,2306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,2306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(368,2306) x common factors =2 x 1 = 2
LCM(368,2306) = ( 368 × 2306 ) / 2
LCM(368,2306) = 848608 / 2
LCM(368,2306) = 424304
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FAQs on GCF of Fractions of 4742/368, 6668/2306
1. What is the HCF of 4742,6668?
The HCF of 4742,6668 is 2
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 4742/368, 6668/2306?
Answer: GCF of Numerators as per given numbers 4742/368, 6668/2306 is
GCF of Numerators i.e. for 4742,6668 is 2
LCM of denominators i.e. for 368,2306 is 424304.
Thus, GCF of Fractions is 2/424304.Finally, GCF of Fractions for 4742/368, 6668/2306 is 2/424304.