GCF of 7363/466, 2146/661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7363/466, 2146/661 i.e 37/308026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7363/466, 2146/661.
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 7363/466,2146/661?
Given fractions are 7363/466,2146/661
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 7363/466,2146/661, numerators are 7363,2146
Denominators are 466,661
The GCF of 7363,2146 is 37 .
LCM of 466,661 is 308026.
The greatest common factor of 7363/466,2146/661 = [GCF of 7363,2146]/[LCM of 466,661]= 37/308026
Therefore, the GCF of 7363/466,2146/661 is 37/308026.
To find the highest common factor of 7363,2146, we have to find the factors of both numbers and list the highest common factor.
The factors of 7363 are 1, 37, 199, 7363
The factors of 2146 are 1, 2, 29, 37, 58, 74, 1073, 2146
The HCF of 7363,2146 is 37.
Lets's calculate GCF of 7363,2146
| 37 | 7363, 2146 |
| 199, 58 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 7363,2146 By Matching Biggest Common Factor Method
Now, list down the factors of 7363
:1,37,199,7363
Now, list down the factors of 2146
:1,2,29,37,58,74,1073,2146
Greatest Common Factor
We found the factors 7363,2146 . The biggest common factor number is the GCF number.
So the greatest common factor 7363,2146 is 37.
Lets's calculate LCM of 466,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 308026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/308026
Therefore, the GCF of Fractions 7363/466,2146/661 is 37/308026
Least Common Multiple of 466,661 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 466,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(466,661) x common factors =1 x 1 = 1
LCM(466,661) = ( 466 × 661 ) / 1
LCM(466,661) = 308026 / 1
LCM(466,661) = 308026
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FAQs on GCF of Fractions of 7363/466, 2146/661
1. What is the HCF of 7363,2146?
The HCF of 7363,2146 is 37
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 7363/466, 2146/661?
Answer: GCF of Numerators as per given numbers 7363/466, 2146/661 is
GCF of Numerators i.e. for 7363,2146 is 37
LCM of denominators i.e. for 466,661 is 308026.
Thus, GCF of Fractions is 37/308026.Finally, GCF of Fractions for 7363/466, 2146/661 is 37/308026.