GCF of 188/968, 5140/8316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 188/968, 5140/8316 i.e 4/182952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 188/968, 5140/8316.
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 188/968,5140/8316?
Given fractions are 188/968,5140/8316
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 188/968,5140/8316, numerators are 188,5140
Denominators are 968,8316
The GCF of 188,5140 is 4 .
LCM of 968,8316 is 182952.
The greatest common factor of 188/968,5140/8316 = [GCF of 188,5140]/[LCM of 968,8316]= 4/182952
Therefore, the GCF of 188/968,5140/8316 is 4/182952.
To find the highest common factor of 188,5140, we have to find the factors of both numbers and list the highest common factor.
The factors of 188 are 1, 2, 4, 47, 94, 188
The factors of 5140 are 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140
The HCF of 188,5140 is 4.
Lets's calculate GCF of 188,5140
| 2 | 188, 5140 |
| 2 | 94, 2570 |
| 47, 1285 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 188,5140 By Matching Biggest Common Factor Method
Now, list down the factors of 188
:1,2,4,47,94,188
Now, list down the factors of 5140
:1,2,4,5,10,20,257,514,1028,1285,2570,5140
Greatest Common Factor
We found the factors 188,5140 . The biggest common factor number is the GCF number.
So the greatest common factor 188,5140 is 4.
Lets's calculate LCM of 968,8316
| 2 | 968, 8316 |
| 2 | 484, 4158 |
| 11 | 242, 2079 |
| 22, 189 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 22 x 189 = 182952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/182952
Therefore, the GCF of Fractions 188/968,5140/8316 is 4/182952
Least Common Multiple of 968,8316 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 968,8316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,8316) = 44
common factors(in case of two or more numbers have common factors) = 1
GCF(968,8316) x common factors =44 x 1 = 44
LCM(968,8316) = ( 968 × 8316 ) / 44
LCM(968,8316) = 8049888 / 44
LCM(968,8316) = 182952
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 188/968, 5140/8316
1. What is the HCF of 188,5140?
The HCF of 188,5140 is 4
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 188/968, 5140/8316?
Answer: GCF of Numerators as per given numbers 188/968, 5140/8316 is
GCF of Numerators i.e. for 188,5140 is 4
LCM of denominators i.e. for 968,8316 is 182952.
Thus, GCF of Fractions is 4/182952.Finally, GCF of Fractions for 188/968, 5140/8316 is 4/182952.