GCF of 8578/371, 2164/9470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8578/371, 2164/9470 i.e 2/3513370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8578/371, 2164/9470.
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 8578/371,2164/9470?
Given fractions are 8578/371,2164/9470
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 8578/371,2164/9470, numerators are 8578,2164
Denominators are 371,9470
The GCF of 8578,2164 is 2 .
LCM of 371,9470 is 3513370.
The greatest common factor of 8578/371,2164/9470 = [GCF of 8578,2164]/[LCM of 371,9470]= 2/3513370
Therefore, the GCF of 8578/371,2164/9470 is 2/3513370.
To find the highest common factor of 8578,2164, we have to find the factors of both numbers and list the highest common factor.
The factors of 8578 are 1, 2, 4289, 8578
The factors of 2164 are 1, 2, 4, 541, 1082, 2164
The HCF of 8578,2164 is 2.
Lets's calculate GCF of 8578,2164
| 2 | 8578, 2164 |
| 4289, 1082 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8578,2164 By Matching Biggest Common Factor Method
Now, list down the factors of 8578
:1,2,4289,8578
Now, list down the factors of 2164
:1,2,4,541,1082,2164
Greatest Common Factor
We found the factors 8578,2164 . The biggest common factor number is the GCF number.
So the greatest common factor 8578,2164 is 2.
Lets's calculate LCM of 371,9470
Given numbers has no common factors except 1. So, there LCM is their product i.e 3513370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3513370
Therefore, the GCF of Fractions 8578/371,2164/9470 is 2/3513370
Least Common Multiple of 371,9470 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 371,9470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,9470) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,9470) x common factors =1 x 1 = 1
LCM(371,9470) = ( 371 × 9470 ) / 1
LCM(371,9470) = 3513370 / 1
LCM(371,9470) = 3513370
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FAQs on GCF of Fractions of 8578/371, 2164/9470
1. What is the HCF of 8578,2164?
The HCF of 8578,2164 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 8578/371, 2164/9470?
Answer: GCF of Numerators as per given numbers 8578/371, 2164/9470 is
GCF of Numerators i.e. for 8578,2164 is 2
LCM of denominators i.e. for 371,9470 is 3513370.
Thus, GCF of Fractions is 2/3513370.Finally, GCF of Fractions for 8578/371, 2164/9470 is 2/3513370.