GCF of 9505/972, 9590/1084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9505/972, 9590/1084 i.e 5/263412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9505/972, 9590/1084.
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 9505/972,9590/1084?
Given fractions are 9505/972,9590/1084
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 9505/972,9590/1084, numerators are 9505,9590
Denominators are 972,1084
The GCF of 9505,9590 is 5 .
LCM of 972,1084 is 263412.
The greatest common factor of 9505/972,9590/1084 = [GCF of 9505,9590]/[LCM of 972,1084]= 5/263412
Therefore, the GCF of 9505/972,9590/1084 is 5/263412.
To find the highest common factor of 9505,9590, we have to find the factors of both numbers and list the highest common factor.
The factors of 9505 are 1, 5, 1901, 9505
The factors of 9590 are 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590
The HCF of 9505,9590 is 5.
Lets's calculate GCF of 9505,9590
| 5 | 9505, 9590 |
| 1901, 1918 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9505,9590 By Matching Biggest Common Factor Method
Now, list down the factors of 9505
:1,5,1901,9505
Now, list down the factors of 9590
:1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590
Greatest Common Factor
We found the factors 9505,9590 . The biggest common factor number is the GCF number.
So the greatest common factor 9505,9590 is 5.
Lets's calculate LCM of 972,1084
| 2 | 972, 1084 |
| 2 | 486, 542 |
| 243, 271 |
∴ So the LCM of the given numbers is 2 x 2 x 243 x 271 = 263412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/263412
Therefore, the GCF of Fractions 9505/972,9590/1084 is 5/263412
Least Common Multiple of 972,1084 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 972,1084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,1084) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(972,1084) x common factors =4 x 1 = 4
LCM(972,1084) = ( 972 × 1084 ) / 4
LCM(972,1084) = 1053648 / 4
LCM(972,1084) = 263412
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9505/972, 9590/1084
1. What is the HCF of 9505,9590?
The HCF of 9505,9590 is 5
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 9505/972, 9590/1084?
Answer: GCF of Numerators as per given numbers 9505/972, 9590/1084 is
GCF of Numerators i.e. for 9505,9590 is 5
LCM of denominators i.e. for 972,1084 is 263412.
Thus, GCF of Fractions is 5/263412.Finally, GCF of Fractions for 9505/972, 9590/1084 is 5/263412.