GCF of 9450/969, 5768/8167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9450/969, 5768/8167 i.e 14/7913823 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9450/969, 5768/8167.
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 9450/969,5768/8167?
Given fractions are 9450/969,5768/8167
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 9450/969,5768/8167, numerators are 9450,5768
Denominators are 969,8167
The GCF of 9450,5768 is 14 .
LCM of 969,8167 is 7913823.
The greatest common factor of 9450/969,5768/8167 = [GCF of 9450,5768]/[LCM of 969,8167]= 14/7913823
Therefore, the GCF of 9450/969,5768/8167 is 14/7913823.
To find the highest common factor of 9450,5768, we have to find the factors of both numbers and list the highest common factor.
The factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450
The factors of 5768 are 1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884, 5768
The HCF of 9450,5768 is 14.
Lets's calculate GCF of 9450,5768
| 2 | 9450, 5768 |
| 7 | 4725, 2884 |
| 675, 412 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9450,5768 By Matching Biggest Common Factor Method
Now, list down the factors of 9450
:1,2,3,5,6,7,9,10,14,15,18,21,25,27,30,35,42,45,50,54,63,70,75,90,105,126,135,150,175,189,210,225,270,315,350,378,450,525,630,675,945,1050,1350,1575,1890,3150,4725,9450
Now, list down the factors of 5768
:1,2,4,7,8,14,28,56,103,206,412,721,824,1442,2884,5768
Greatest Common Factor
We found the factors 9450,5768 . The biggest common factor number is the GCF number.
So the greatest common factor 9450,5768 is 14.
Lets's calculate LCM of 969,8167
Given numbers has no common factors except 1. So, there LCM is their product i.e 7913823
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/7913823
Therefore, the GCF of Fractions 9450/969,5768/8167 is 14/7913823
Least Common Multiple of 969,8167 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 969,8167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,8167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,8167) x common factors =1 x 1 = 1
LCM(969,8167) = ( 969 × 8167 ) / 1
LCM(969,8167) = 7913823 / 1
LCM(969,8167) = 7913823
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FAQs on GCF of Fractions of 9450/969, 5768/8167
1. What is the HCF of 9450,5768?
The HCF of 9450,5768 is 14
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 9450/969, 5768/8167?
Answer: GCF of Numerators as per given numbers 9450/969, 5768/8167 is
GCF of Numerators i.e. for 9450,5768 is 14
LCM of denominators i.e. for 969,8167 is 7913823.
Thus, GCF of Fractions is 14/7913823.Finally, GCF of Fractions for 9450/969, 5768/8167 is 14/7913823.