GCF of 4201/466, 2970/212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4201/466, 2970/212 i.e 1/49396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4201/466, 2970/212.
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 4201/466,2970/212?
Given fractions are 4201/466,2970/212
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 4201/466,2970/212, numerators are 4201,2970
Denominators are 466,212
The GCF of 4201,2970 is 1 .
LCM of 466,212 is 49396.
The greatest common factor of 4201/466,2970/212 = [GCF of 4201,2970]/[LCM of 466,212]= 1/49396
Therefore, the GCF of 4201/466,2970/212 is 1/49396.
To find the highest common factor of 4201,2970, we have to find the factors of both numbers and list the highest common factor.
The factors of 4201 are 1, 4201
The factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970
The HCF of 4201,2970 is 1.
Lets's calculate GCF of 4201,2970
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4201,2970 By Matching Biggest Common Factor Method
Now, list down the factors of 4201
:1,4201
Now, list down the factors of 2970
:1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970
Greatest Common Factor
We found the factors 4201,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 4201,2970 is 1.
Lets's calculate LCM of 466,212
| 2 | 466, 212 |
| 233, 106 |
∴ So the LCM of the given numbers is 2 x 233 x 106 = 49396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49396
Therefore, the GCF of Fractions 4201/466,2970/212 is 1/49396
Least Common Multiple of 466,212 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 466,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,212) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,212) x common factors =2 x 1 = 2
LCM(466,212) = ( 466 × 212 ) / 2
LCM(466,212) = 98792 / 2
LCM(466,212) = 49396
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FAQs on GCF of Fractions of 4201/466, 2970/212
1. What is the HCF of 4201,2970?
The HCF of 4201,2970 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 4201/466, 2970/212?
Answer: GCF of Numerators as per given numbers 4201/466, 2970/212 is
GCF of Numerators i.e. for 4201,2970 is 1
LCM of denominators i.e. for 466,212 is 49396.
Thus, GCF of Fractions is 1/49396.Finally, GCF of Fractions for 4201/466, 2970/212 is 1/49396.