GCF of 6961/914, 9600/8170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6961/914, 9600/8170 i.e 1/3733690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6961/914, 9600/8170.
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 6961/914,9600/8170?
Given fractions are 6961/914,9600/8170
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 6961/914,9600/8170, numerators are 6961,9600
Denominators are 914,8170
The GCF of 6961,9600 is 1 .
LCM of 914,8170 is 3733690.
The greatest common factor of 6961/914,9600/8170 = [GCF of 6961,9600]/[LCM of 914,8170]= 1/3733690
Therefore, the GCF of 6961/914,9600/8170 is 1/3733690.
To find the highest common factor of 6961,9600, we have to find the factors of both numbers and list the highest common factor.
The factors of 6961 are 1, 6961
The factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600
The HCF of 6961,9600 is 1.
Lets's calculate GCF of 6961,9600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6961,9600 By Matching Biggest Common Factor Method
Now, list down the factors of 6961
:1,6961
Now, list down the factors of 9600
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600
Greatest Common Factor
We found the factors 6961,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 6961,9600 is 1.
Lets's calculate LCM of 914,8170
| 2 | 914, 8170 |
| 457, 4085 |
∴ So the LCM of the given numbers is 2 x 457 x 4085 = 3733690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3733690
Therefore, the GCF of Fractions 6961/914,9600/8170 is 1/3733690
Least Common Multiple of 914,8170 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 914,8170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,8170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,8170) x common factors =2 x 1 = 2
LCM(914,8170) = ( 914 × 8170 ) / 2
LCM(914,8170) = 7467380 / 2
LCM(914,8170) = 3733690
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FAQs on GCF of Fractions of 6961/914, 9600/8170
1. What is the HCF of 6961,9600?
The HCF of 6961,9600 is 1
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 6961/914, 9600/8170?
Answer: GCF of Numerators as per given numbers 6961/914, 9600/8170 is
GCF of Numerators i.e. for 6961,9600 is 1
LCM of denominators i.e. for 914,8170 is 3733690.
Thus, GCF of Fractions is 1/3733690.Finally, GCF of Fractions for 6961/914, 9600/8170 is 1/3733690.