GCF of 8914/372, 9469/3472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8914/372, 9469/3472 i.e 1/10416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8914/372, 9469/3472.
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 8914/372,9469/3472?
Given fractions are 8914/372,9469/3472
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 8914/372,9469/3472, numerators are 8914,9469
Denominators are 372,3472
The GCF of 8914,9469 is 1 .
LCM of 372,3472 is 10416.
The greatest common factor of 8914/372,9469/3472 = [GCF of 8914,9469]/[LCM of 372,3472]= 1/10416
Therefore, the GCF of 8914/372,9469/3472 is 1/10416.
To find the highest common factor of 8914,9469, we have to find the factors of both numbers and list the highest common factor.
The factors of 8914 are 1, 2, 4457, 8914
The factors of 9469 are 1, 17, 557, 9469
The HCF of 8914,9469 is 1.
Lets's calculate GCF of 8914,9469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8914,9469 By Matching Biggest Common Factor Method
Now, list down the factors of 8914
:1,2,4457,8914
Now, list down the factors of 9469
:1,17,557,9469
Greatest Common Factor
We found the factors 8914,9469 . The biggest common factor number is the GCF number.
So the greatest common factor 8914,9469 is 1.
Lets's calculate LCM of 372,3472
| 2 | 372, 3472 |
| 2 | 186, 1736 |
| 31 | 93, 868 |
| 3, 28 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 3 x 28 = 10416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10416
Therefore, the GCF of Fractions 8914/372,9469/3472 is 1/10416
Least Common Multiple of 372,3472 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 372,3472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,3472) = 124
common factors(in case of two or more numbers have common factors) = 1
GCF(372,3472) x common factors =124 x 1 = 124
LCM(372,3472) = ( 372 × 3472 ) / 124
LCM(372,3472) = 1291584 / 124
LCM(372,3472) = 10416
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FAQs on GCF of Fractions of 8914/372, 9469/3472
1. What is the HCF of 8914,9469?
The HCF of 8914,9469 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 8914/372, 9469/3472?
Answer: GCF of Numerators as per given numbers 8914/372, 9469/3472 is
GCF of Numerators i.e. for 8914,9469 is 1
LCM of denominators i.e. for 372,3472 is 10416.
Thus, GCF of Fractions is 1/10416.Finally, GCF of Fractions for 8914/372, 9469/3472 is 1/10416.