GCF of 1365/957, 6558/5717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1365/957, 6558/5717 i.e 3/5471169 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1365/957, 6558/5717.
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 1365/957,6558/5717?
Given fractions are 1365/957,6558/5717
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 1365/957,6558/5717, numerators are 1365,6558
Denominators are 957,5717
The GCF of 1365,6558 is 3 .
LCM of 957,5717 is 5471169.
The greatest common factor of 1365/957,6558/5717 = [GCF of 1365,6558]/[LCM of 957,5717]= 3/5471169
Therefore, the GCF of 1365/957,6558/5717 is 3/5471169.
To find the highest common factor of 1365,6558, we have to find the factors of both numbers and list the highest common factor.
The factors of 1365 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365
The factors of 6558 are 1, 2, 3, 6, 1093, 2186, 3279, 6558
The HCF of 1365,6558 is 3.
Lets's calculate GCF of 1365,6558
| 3 | 1365, 6558 |
| 455, 2186 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1365,6558 By Matching Biggest Common Factor Method
Now, list down the factors of 1365
:1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365
Now, list down the factors of 6558
:1,2,3,6,1093,2186,3279,6558
Greatest Common Factor
We found the factors 1365,6558 . The biggest common factor number is the GCF number.
So the greatest common factor 1365,6558 is 3.
Lets's calculate LCM of 957,5717
Given numbers has no common factors except 1. So, there LCM is their product i.e 5471169
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5471169
Therefore, the GCF of Fractions 1365/957,6558/5717 is 3/5471169
Least Common Multiple of 957,5717 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 957,5717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,5717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(957,5717) x common factors =1 x 1 = 1
LCM(957,5717) = ( 957 × 5717 ) / 1
LCM(957,5717) = 5471169 / 1
LCM(957,5717) = 5471169
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FAQs on GCF of Fractions of 1365/957, 6558/5717
1. What is the HCF of 1365,6558?
The HCF of 1365,6558 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 1365/957, 6558/5717?
Answer: GCF of Numerators as per given numbers 1365/957, 6558/5717 is
GCF of Numerators i.e. for 1365,6558 is 3
LCM of denominators i.e. for 957,5717 is 5471169.
Thus, GCF of Fractions is 3/5471169.Finally, GCF of Fractions for 1365/957, 6558/5717 is 3/5471169.