GCF of 728/514, 886/937, 148/658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 728/514, 886/937, 148/658 i.e 2/158452322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 728/514, 886/937, 148/658.
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 728/514,886/937,148/658?
Given fractions are 728/514,886/937,148/658
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 728/514,886/937,148/658, numerators are 728,886,148
Denominators are 514,937,658
The GCF of 728,886,148 is 2 .
LCM of 514,937,658 is 158452322.
The greatest common factor of 728/514,886/937,148/658 = [GCF of 728,886,148]/[LCM of 514,937,658]= 2/158452322
Therefore, the GCF of 728/514,886/937,148/658 is 2/158452322.
To find the highest common factor of 728,886,148, we have to find the factors of both numbers and list the highest common factor.
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The factors of 886 are 1, 2, 443, 886
The factors of 148 are 1, 2, 4, 37, 74, 148
The HCF of 728,886,148 is 2.
Lets's calculate GCF of 728,886,148
| 2 | 728, 886, 148 |
| 364, 443, 74 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 728,886,148 By Matching Biggest Common Factor Method
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 148
:1,2,4,37,74,148
Greatest Common Factor
We found the factors 728,886,148 . The biggest common factor number is the GCF number.
So the greatest common factor 728,886,148 is 2.
Lets's calculate LCM of 514,937,658
| 2 | 514, 937, 658 |
| 257, 937, 329 |
∴ So the LCM of the given numbers is 2 x 257 x 937 x 329 = 158452322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/158452322
Therefore, the GCF of Fractions 728/514,886/937,148/658 is 2/158452322
Least Common Multiple of 514,937,658 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 514,937,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,937,658) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(514,937,658) x common factors =1 x 2 = 2
LCM(514,937,658) = ( 514 × 937 × 658 ) / 2
LCM(514,937,658) = 316904644 / 2
LCM(514,937,658) = 158452322
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 728/514, 886/937, 148/658
1. What is the HCF of 728,886,148?
The HCF of 728,886,148 is 2
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 728/514, 886/937, 148/658?
Answer: GCF of Numerators as per given numbers 728/514, 886/937, 148/658 is
GCF of Numerators i.e. for 728,886,148 is 2
LCM of denominators i.e. for 514,937,658 is 158452322.
Thus, GCF of Fractions is 2/158452322.Finally, GCF of Fractions for 728/514, 886/937, 148/658 is 2/158452322.