GCF of 9261/854, 3960/6470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9261/854, 3960/6470 i.e 9/2762690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9261/854, 3960/6470.
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 9261/854,3960/6470?
Given fractions are 9261/854,3960/6470
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 9261/854,3960/6470, numerators are 9261,3960
Denominators are 854,6470
The GCF of 9261,3960 is 9 .
LCM of 854,6470 is 2762690.
The greatest common factor of 9261/854,3960/6470 = [GCF of 9261,3960]/[LCM of 854,6470]= 9/2762690
Therefore, the GCF of 9261/854,3960/6470 is 9/2762690.
To find the highest common factor of 9261,3960, we have to find the factors of both numbers and list the highest common factor.
The factors of 9261 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261
The factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960
The HCF of 9261,3960 is 9.
Lets's calculate GCF of 9261,3960
| 3 | 9261, 3960 |
| 3 | 3087, 1320 |
| 1029, 440 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 9261,3960 By Matching Biggest Common Factor Method
Now, list down the factors of 9261
:1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261
Now, list down the factors of 3960
:1,2,3,4,5,6,8,9,10,11,12,15,18,20,22,24,30,33,36,40,44,45,55,60,66,72,88,90,99,110,120,132,165,180,198,220,264,330,360,396,440,495,660,792,990,1320,1980,3960
Greatest Common Factor
We found the factors 9261,3960 . The biggest common factor number is the GCF number.
So the greatest common factor 9261,3960 is 9.
Lets's calculate LCM of 854,6470
| 2 | 854, 6470 |
| 427, 3235 |
∴ So the LCM of the given numbers is 2 x 427 x 3235 = 2762690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2762690
Therefore, the GCF of Fractions 9261/854,3960/6470 is 9/2762690
Least Common Multiple of 854,6470 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 854,6470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,6470) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(854,6470) x common factors =2 x 1 = 2
LCM(854,6470) = ( 854 × 6470 ) / 2
LCM(854,6470) = 5525380 / 2
LCM(854,6470) = 2762690
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FAQs on GCF of Fractions of 9261/854, 3960/6470
1. What is the HCF of 9261,3960?
The HCF of 9261,3960 is 9
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 9261/854, 3960/6470?
Answer: GCF of Numerators as per given numbers 9261/854, 3960/6470 is
GCF of Numerators i.e. for 9261,3960 is 9
LCM of denominators i.e. for 854,6470 is 2762690.
Thus, GCF of Fractions is 9/2762690.Finally, GCF of Fractions for 9261/854, 3960/6470 is 9/2762690.