GCF of 9467/143, 3480/9584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9467/143, 3480/9584 i.e 1/1370512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9467/143, 3480/9584.
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 9467/143,3480/9584?
Given fractions are 9467/143,3480/9584
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 9467/143,3480/9584, numerators are 9467,3480
Denominators are 143,9584
The GCF of 9467,3480 is 1 .
LCM of 143,9584 is 1370512.
The greatest common factor of 9467/143,3480/9584 = [GCF of 9467,3480]/[LCM of 143,9584]= 1/1370512
Therefore, the GCF of 9467/143,3480/9584 is 1/1370512.
To find the highest common factor of 9467,3480, we have to find the factors of both numbers and list the highest common factor.
The factors of 9467 are 1, 9467
The factors of 3480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740, 3480
The HCF of 9467,3480 is 1.
Lets's calculate GCF of 9467,3480
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9467,3480 By Matching Biggest Common Factor Method
Now, list down the factors of 9467
:1,9467
Now, list down the factors of 3480
:1,2,3,4,5,6,8,10,12,15,20,24,29,30,40,58,60,87,116,120,145,174,232,290,348,435,580,696,870,1160,1740,3480
Greatest Common Factor
We found the factors 9467,3480 . The biggest common factor number is the GCF number.
So the greatest common factor 9467,3480 is 1.
Lets's calculate LCM of 143,9584
Given numbers has no common factors except 1. So, there LCM is their product i.e 1370512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1370512
Therefore, the GCF of Fractions 9467/143,3480/9584 is 1/1370512
Least Common Multiple of 143,9584 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 143,9584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,9584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,9584) x common factors =1 x 1 = 1
LCM(143,9584) = ( 143 × 9584 ) / 1
LCM(143,9584) = 1370512 / 1
LCM(143,9584) = 1370512
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FAQs on GCF of Fractions of 9467/143, 3480/9584
1. What is the HCF of 9467,3480?
The HCF of 9467,3480 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 9467/143, 3480/9584?
Answer: GCF of Numerators as per given numbers 9467/143, 3480/9584 is
GCF of Numerators i.e. for 9467,3480 is 1
LCM of denominators i.e. for 143,9584 is 1370512.
Thus, GCF of Fractions is 1/1370512.Finally, GCF of Fractions for 9467/143, 3480/9584 is 1/1370512.