GCF of 5955/895, 5658/5017
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5955/895, 5658/5017 i.e 3/4490215 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5955/895, 5658/5017.
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 5955/895,5658/5017?
Given fractions are 5955/895,5658/5017
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 5955/895,5658/5017, numerators are 5955,5658
Denominators are 895,5017
The GCF of 5955,5658 is 3 .
LCM of 895,5017 is 4490215.
The greatest common factor of 5955/895,5658/5017 = [GCF of 5955,5658]/[LCM of 895,5017]= 3/4490215
Therefore, the GCF of 5955/895,5658/5017 is 3/4490215.
To find the highest common factor of 5955,5658, we have to find the factors of both numbers and list the highest common factor.
The factors of 5955 are 1, 3, 5, 15, 397, 1191, 1985, 5955
The factors of 5658 are 1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658
The HCF of 5955,5658 is 3.
Lets's calculate GCF of 5955,5658
| 3 | 5955, 5658 |
| 1985, 1886 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5955,5658 By Matching Biggest Common Factor Method
Now, list down the factors of 5955
:1,3,5,15,397,1191,1985,5955
Now, list down the factors of 5658
:1,2,3,6,23,41,46,69,82,123,138,246,943,1886,2829,5658
Greatest Common Factor
We found the factors 5955,5658 . The biggest common factor number is the GCF number.
So the greatest common factor 5955,5658 is 3.
Lets's calculate LCM of 895,5017
Given numbers has no common factors except 1. So, there LCM is their product i.e 4490215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4490215
Therefore, the GCF of Fractions 5955/895,5658/5017 is 3/4490215
Least Common Multiple of 895,5017 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 895,5017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,5017) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,5017) x common factors =1 x 1 = 1
LCM(895,5017) = ( 895 × 5017 ) / 1
LCM(895,5017) = 4490215 / 1
LCM(895,5017) = 4490215
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5955/895, 5658/5017
1. What is the HCF of 5955,5658?
The HCF of 5955,5658 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 5955/895, 5658/5017?
Answer: GCF of Numerators as per given numbers 5955/895, 5658/5017 is
GCF of Numerators i.e. for 5955,5658 is 3
LCM of denominators i.e. for 895,5017 is 4490215.
Thus, GCF of Fractions is 3/4490215.Finally, GCF of Fractions for 5955/895, 5658/5017 is 3/4490215.