GCF of 43/12, 237/30, 697/601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/12, 237/30, 697/601 i.e 1/36060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/12, 237/30, 697/601.
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 43/12,237/30,697/601?
Given fractions are 43/12,237/30,697/601
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 43/12,237/30,697/601, numerators are 43,237,697
Denominators are 12,30,601
The GCF of 43,237,697 is 1 .
LCM of 12,30,601 is 36060.
The greatest common factor of 43/12,237/30,697/601 = [GCF of 43,237,697]/[LCM of 12,30,601]= 1/36060
Therefore, the GCF of 43/12,237/30,697/601 is 1/36060.
To find the highest common factor of 43,237,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 237 are 1, 3, 79, 237
The factors of 697 are 1, 17, 41, 697
The HCF of 43,237,697 is 1.
Lets's calculate GCF of 43,237,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,237,697 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 237
:1,3,79,237
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 43,237,697 . The biggest common factor number is the GCF number.
So the greatest common factor 43,237,697 is 1.
Lets's calculate LCM of 12,30,601
| 2 | 12, 30, 601 |
| 3 | 6, 15, 601 |
| 2, 5, 601 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 5 x 601 = 36060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36060
Therefore, the GCF of Fractions 43/12,237/30,697/601 is 1/36060
Least Common Multiple of 12,30,601 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 12,30,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,30,601) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(12,30,601) x common factors =1 x 6 = 6
LCM(12,30,601) = ( 12 × 30 × 601 ) / 6
LCM(12,30,601) = 216360 / 6
LCM(12,30,601) = 36060
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FAQs on GCF of Fractions of 43/12, 237/30, 697/601
1. What is the HCF of 43,237,697?
The HCF of 43,237,697 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 43/12, 237/30, 697/601?
Answer: GCF of Numerators as per given numbers 43/12, 237/30, 697/601 is
GCF of Numerators i.e. for 43,237,697 is 1
LCM of denominators i.e. for 12,30,601 is 36060.
Thus, GCF of Fractions is 1/36060.Finally, GCF of Fractions for 43/12, 237/30, 697/601 is 1/36060.