GCF of 5292/758, 6075/1316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5292/758, 6075/1316 i.e 27/498764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5292/758, 6075/1316.
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 5292/758,6075/1316?
Given fractions are 5292/758,6075/1316
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 5292/758,6075/1316, numerators are 5292,6075
Denominators are 758,1316
The GCF of 5292,6075 is 27 .
LCM of 758,1316 is 498764.
The greatest common factor of 5292/758,6075/1316 = [GCF of 5292,6075]/[LCM of 758,1316]= 27/498764
Therefore, the GCF of 5292/758,6075/1316 is 27/498764.
To find the highest common factor of 5292,6075, we have to find the factors of both numbers and list the highest common factor.
The factors of 5292 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292
The factors of 6075 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075
The HCF of 5292,6075 is 27.
Lets's calculate GCF of 5292,6075
| 3 | 5292, 6075 |
| 3 | 1764, 2025 |
| 3 | 588, 675 |
| 196, 225 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 5292,6075 By Matching Biggest Common Factor Method
Now, list down the factors of 5292
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,49,54,63,84,98,108,126,147,189,196,252,294,378,441,588,756,882,1323,1764,2646,5292
Now, list down the factors of 6075
:1,3,5,9,15,25,27,45,75,81,135,225,243,405,675,1215,2025,6075
Greatest Common Factor
We found the factors 5292,6075 . The biggest common factor number is the GCF number.
So the greatest common factor 5292,6075 is 27.
Lets's calculate LCM of 758,1316
| 2 | 758, 1316 |
| 379, 658 |
∴ So the LCM of the given numbers is 2 x 379 x 658 = 498764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/498764
Therefore, the GCF of Fractions 5292/758,6075/1316 is 27/498764
Least Common Multiple of 758,1316 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 758,1316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,1316) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,1316) x common factors =2 x 1 = 2
LCM(758,1316) = ( 758 × 1316 ) / 2
LCM(758,1316) = 997528 / 2
LCM(758,1316) = 498764
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5292/758, 6075/1316
1. What is the HCF of 5292,6075?
The HCF of 5292,6075 is 27
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 5292/758, 6075/1316?
Answer: GCF of Numerators as per given numbers 5292/758, 6075/1316 is
GCF of Numerators i.e. for 5292,6075 is 27
LCM of denominators i.e. for 758,1316 is 498764.
Thus, GCF of Fractions is 27/498764.Finally, GCF of Fractions for 5292/758, 6075/1316 is 27/498764.