GCF of 1462/688, 9030/266
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1462/688, 9030/266 i.e 86/91504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1462/688, 9030/266.
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 1462/688,9030/266?
Given fractions are 1462/688,9030/266
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 1462/688,9030/266, numerators are 1462,9030
Denominators are 688,266
The GCF of 1462,9030 is 86 .
LCM of 688,266 is 91504.
The greatest common factor of 1462/688,9030/266 = [GCF of 1462,9030]/[LCM of 688,266]= 86/91504
Therefore, the GCF of 1462/688,9030/266 is 86/91504.
To find the highest common factor of 1462,9030, we have to find the factors of both numbers and list the highest common factor.
The factors of 1462 are 1, 2, 17, 34, 43, 86, 731, 1462
The factors of 9030 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 43, 70, 86, 105, 129, 210, 215, 258, 301, 430, 602, 645, 903, 1290, 1505, 1806, 3010, 4515, 9030
The HCF of 1462,9030 is 86.
Lets's calculate GCF of 1462,9030
| 2 | 1462, 9030 |
| 43 | 731, 4515 |
| 17, 105 |
∴ So the GCF of the given numbers is 2 x 43 = 86
Greatest Common Factor of 1462,9030 By Matching Biggest Common Factor Method
Now, list down the factors of 1462
:1,2,17,34,43,86,731,1462
Now, list down the factors of 9030
:1,2,3,5,6,7,10,14,15,21,30,35,42,43,70,86,105,129,210,215,258,301,430,602,645,903,1290,1505,1806,3010,4515,9030
Greatest Common Factor
We found the factors 1462,9030 . The biggest common factor number is the GCF number.
So the greatest common factor 1462,9030 is 86.
Lets's calculate LCM of 688,266
| 2 | 688, 266 |
| 344, 133 |
∴ So the LCM of the given numbers is 2 x 344 x 133 = 91504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 86/91504
Therefore, the GCF of Fractions 1462/688,9030/266 is 86/91504
Least Common Multiple of 688,266 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 688,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,266) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(688,266) x common factors =2 x 1 = 2
LCM(688,266) = ( 688 × 266 ) / 2
LCM(688,266) = 183008 / 2
LCM(688,266) = 91504
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1462/688, 9030/266
1. What is the HCF of 1462,9030?
The HCF of 1462,9030 is 86
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 1462/688, 9030/266?
Answer: GCF of Numerators as per given numbers 1462/688, 9030/266 is
GCF of Numerators i.e. for 1462,9030 is 86
LCM of denominators i.e. for 688,266 is 91504.
Thus, GCF of Fractions is 86/91504.Finally, GCF of Fractions for 1462/688, 9030/266 is 86/91504.