GCF of 8966/429, 7830/1054
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8966/429, 7830/1054 i.e 2/452166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8966/429, 7830/1054.
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 8966/429,7830/1054?
Given fractions are 8966/429,7830/1054
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 8966/429,7830/1054, numerators are 8966,7830
Denominators are 429,1054
The GCF of 8966,7830 is 2 .
LCM of 429,1054 is 452166.
The greatest common factor of 8966/429,7830/1054 = [GCF of 8966,7830]/[LCM of 429,1054]= 2/452166
Therefore, the GCF of 8966/429,7830/1054 is 2/452166.
To find the highest common factor of 8966,7830, we have to find the factors of both numbers and list the highest common factor.
The factors of 8966 are 1, 2, 4483, 8966
The factors of 7830 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830
The HCF of 8966,7830 is 2.
Lets's calculate GCF of 8966,7830
| 2 | 8966, 7830 |
| 4483, 3915 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8966,7830 By Matching Biggest Common Factor Method
Now, list down the factors of 8966
:1,2,4483,8966
Now, list down the factors of 7830
:1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830
Greatest Common Factor
We found the factors 8966,7830 . The biggest common factor number is the GCF number.
So the greatest common factor 8966,7830 is 2.
Lets's calculate LCM of 429,1054
Given numbers has no common factors except 1. So, there LCM is their product i.e 452166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/452166
Therefore, the GCF of Fractions 8966/429,7830/1054 is 2/452166
Least Common Multiple of 429,1054 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 429,1054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,1054) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,1054) x common factors =1 x 1 = 1
LCM(429,1054) = ( 429 × 1054 ) / 1
LCM(429,1054) = 452166 / 1
LCM(429,1054) = 452166
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FAQs on GCF of Fractions of 8966/429, 7830/1054
1. What is the HCF of 8966,7830?
The HCF of 8966,7830 is 2
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 8966/429, 7830/1054?
Answer: GCF of Numerators as per given numbers 8966/429, 7830/1054 is
GCF of Numerators i.e. for 8966,7830 is 2
LCM of denominators i.e. for 429,1054 is 452166.
Thus, GCF of Fractions is 2/452166.Finally, GCF of Fractions for 8966/429, 7830/1054 is 2/452166.