GCF of 5235/775, 5394/1085
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5235/775, 5394/1085 i.e 3/5425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5235/775, 5394/1085.
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 5235/775,5394/1085?
Given fractions are 5235/775,5394/1085
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 5235/775,5394/1085, numerators are 5235,5394
Denominators are 775,1085
The GCF of 5235,5394 is 3 .
LCM of 775,1085 is 5425.
The greatest common factor of 5235/775,5394/1085 = [GCF of 5235,5394]/[LCM of 775,1085]= 3/5425
Therefore, the GCF of 5235/775,5394/1085 is 3/5425.
To find the highest common factor of 5235,5394, we have to find the factors of both numbers and list the highest common factor.
The factors of 5235 are 1, 3, 5, 15, 349, 1047, 1745, 5235
The factors of 5394 are 1, 2, 3, 6, 29, 31, 58, 62, 87, 93, 174, 186, 899, 1798, 2697, 5394
The HCF of 5235,5394 is 3.
Lets's calculate GCF of 5235,5394
| 3 | 5235, 5394 |
| 1745, 1798 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5235,5394 By Matching Biggest Common Factor Method
Now, list down the factors of 5235
:1,3,5,15,349,1047,1745,5235
Now, list down the factors of 5394
:1,2,3,6,29,31,58,62,87,93,174,186,899,1798,2697,5394
Greatest Common Factor
We found the factors 5235,5394 . The biggest common factor number is the GCF number.
So the greatest common factor 5235,5394 is 3.
Lets's calculate LCM of 775,1085
| 5 | 775, 1085 |
| 31 | 155, 217 |
| 5, 7 |
∴ So the LCM of the given numbers is 5 x 31 x 5 x 7 = 5425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5425
Therefore, the GCF of Fractions 5235/775,5394/1085 is 3/5425
Least Common Multiple of 775,1085 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 775,1085 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,1085) = 155
common factors(in case of two or more numbers have common factors) = 1
GCF(775,1085) x common factors =155 x 1 = 155
LCM(775,1085) = ( 775 × 1085 ) / 155
LCM(775,1085) = 840875 / 155
LCM(775,1085) = 5425
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5235/775, 5394/1085
1. What is the HCF of 5235,5394?
The HCF of 5235,5394 is 3
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 5235/775, 5394/1085?
Answer: GCF of Numerators as per given numbers 5235/775, 5394/1085 is
GCF of Numerators i.e. for 5235,5394 is 3
LCM of denominators i.e. for 775,1085 is 5425.
Thus, GCF of Fractions is 3/5425.Finally, GCF of Fractions for 5235/775, 5394/1085 is 3/5425.