GCF of 601/267, 312/462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 601/267, 312/462 i.e 1/41118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 601/267, 312/462.
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 601/267,312/462?
Given fractions are 601/267,312/462
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 601/267,312/462, numerators are 601,312
Denominators are 267,462
The GCF of 601,312 is 1 .
LCM of 267,462 is 41118.
The greatest common factor of 601/267,312/462 = [GCF of 601,312]/[LCM of 267,462]= 1/41118
Therefore, the GCF of 601/267,312/462 is 1/41118.
To find the highest common factor of 601,312, we have to find the factors of both numbers and list the highest common factor.
The factors of 601 are 1, 601
The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The HCF of 601,312 is 1.
Lets's calculate GCF of 601,312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 601,312 By Matching Biggest Common Factor Method
Now, list down the factors of 601
:1,601
Now, list down the factors of 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 601,312 . The biggest common factor number is the GCF number.
So the greatest common factor 601,312 is 1.
Lets's calculate LCM of 267,462
| 3 | 267, 462 |
| 89, 154 |
∴ So the LCM of the given numbers is 3 x 89 x 154 = 41118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41118
Therefore, the GCF of Fractions 601/267,312/462 is 1/41118
Least Common Multiple of 267,462 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 267,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,462) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,462) x common factors =3 x 1 = 3
LCM(267,462) = ( 267 × 462 ) / 3
LCM(267,462) = 123354 / 3
LCM(267,462) = 41118
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FAQs on GCF of Fractions of 601/267, 312/462
1. What is the HCF of 601,312?
The HCF of 601,312 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 601/267, 312/462?
Answer: GCF of Numerators as per given numbers 601/267, 312/462 is
GCF of Numerators i.e. for 601,312 is 1
LCM of denominators i.e. for 267,462 is 41118.
Thus, GCF of Fractions is 1/41118.Finally, GCF of Fractions for 601/267, 312/462 is 1/41118.