GCF of 5895/260, 1755/5316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5895/260, 1755/5316 i.e 45/345540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5895/260, 1755/5316.
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 5895/260,1755/5316?
Given fractions are 5895/260,1755/5316
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 5895/260,1755/5316, numerators are 5895,1755
Denominators are 260,5316
The GCF of 5895,1755 is 45 .
LCM of 260,5316 is 345540.
The greatest common factor of 5895/260,1755/5316 = [GCF of 5895,1755]/[LCM of 260,5316]= 45/345540
Therefore, the GCF of 5895/260,1755/5316 is 45/345540.
To find the highest common factor of 5895,1755, we have to find the factors of both numbers and list the highest common factor.
The factors of 5895 are 1, 3, 5, 9, 15, 45, 131, 393, 655, 1179, 1965, 5895
The factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755
The HCF of 5895,1755 is 45.
Lets's calculate GCF of 5895,1755
| 3 | 5895, 1755 |
| 3 | 1965, 585 |
| 5 | 655, 195 |
| 131, 39 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Greatest Common Factor of 5895,1755 By Matching Biggest Common Factor Method
Now, list down the factors of 5895
:1,3,5,9,15,45,131,393,655,1179,1965,5895
Now, list down the factors of 1755
:1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755
Greatest Common Factor
We found the factors 5895,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 5895,1755 is 45.
Lets's calculate LCM of 260,5316
| 2 | 260, 5316 |
| 2 | 130, 2658 |
| 65, 1329 |
∴ So the LCM of the given numbers is 2 x 2 x 65 x 1329 = 345540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/345540
Therefore, the GCF of Fractions 5895/260,1755/5316 is 45/345540
Least Common Multiple of 260,5316 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 260,5316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,5316) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(260,5316) x common factors =4 x 1 = 4
LCM(260,5316) = ( 260 × 5316 ) / 4
LCM(260,5316) = 1382160 / 4
LCM(260,5316) = 345540
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FAQs on GCF of Fractions of 5895/260, 1755/5316
1. What is the HCF of 5895,1755?
The HCF of 5895,1755 is 45
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 5895/260, 1755/5316?
Answer: GCF of Numerators as per given numbers 5895/260, 1755/5316 is
GCF of Numerators i.e. for 5895,1755 is 45
LCM of denominators i.e. for 260,5316 is 345540.
Thus, GCF of Fractions is 45/345540.Finally, GCF of Fractions for 5895/260, 1755/5316 is 45/345540.