GCF of 9561/650, 3825/2104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9561/650, 3825/2104 i.e 3/683800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9561/650, 3825/2104.
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 9561/650,3825/2104?
Given fractions are 9561/650,3825/2104
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 9561/650,3825/2104, numerators are 9561,3825
Denominators are 650,2104
The GCF of 9561,3825 is 3 .
LCM of 650,2104 is 683800.
The greatest common factor of 9561/650,3825/2104 = [GCF of 9561,3825]/[LCM of 650,2104]= 3/683800
Therefore, the GCF of 9561/650,3825/2104 is 3/683800.
To find the highest common factor of 9561,3825, we have to find the factors of both numbers and list the highest common factor.
The factors of 9561 are 1, 3, 3187, 9561
The factors of 3825 are 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825
The HCF of 9561,3825 is 3.
Lets's calculate GCF of 9561,3825
| 3 | 9561, 3825 |
| 3187, 1275 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9561,3825 By Matching Biggest Common Factor Method
Now, list down the factors of 9561
:1,3,3187,9561
Now, list down the factors of 3825
:1,3,5,9,15,17,25,45,51,75,85,153,225,255,425,765,1275,3825
Greatest Common Factor
We found the factors 9561,3825 . The biggest common factor number is the GCF number.
So the greatest common factor 9561,3825 is 3.
Lets's calculate LCM of 650,2104
| 2 | 650, 2104 |
| 325, 1052 |
∴ So the LCM of the given numbers is 2 x 325 x 1052 = 683800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/683800
Therefore, the GCF of Fractions 9561/650,3825/2104 is 3/683800
Least Common Multiple of 650,2104 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 650,2104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,2104) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(650,2104) x common factors =2 x 1 = 2
LCM(650,2104) = ( 650 × 2104 ) / 2
LCM(650,2104) = 1367600 / 2
LCM(650,2104) = 683800
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FAQs on GCF of Fractions of 9561/650, 3825/2104
1. What is the HCF of 9561,3825?
The HCF of 9561,3825 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 9561/650, 3825/2104?
Answer: GCF of Numerators as per given numbers 9561/650, 3825/2104 is
GCF of Numerators i.e. for 9561,3825 is 3
LCM of denominators i.e. for 650,2104 is 683800.
Thus, GCF of Fractions is 3/683800.Finally, GCF of Fractions for 9561/650, 3825/2104 is 3/683800.