GCF of 9567/634, 9817/9444
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9567/634, 9817/9444 i.e 1/2993748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9567/634, 9817/9444.
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 9567/634,9817/9444?
Given fractions are 9567/634,9817/9444
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 9567/634,9817/9444, numerators are 9567,9817
Denominators are 634,9444
The GCF of 9567,9817 is 1 .
LCM of 634,9444 is 2993748.
The greatest common factor of 9567/634,9817/9444 = [GCF of 9567,9817]/[LCM of 634,9444]= 1/2993748
Therefore, the GCF of 9567/634,9817/9444 is 1/2993748.
To find the highest common factor of 9567,9817, we have to find the factors of both numbers and list the highest common factor.
The factors of 9567 are 1, 3, 9, 1063, 3189, 9567
The factors of 9817 are 1, 9817
The HCF of 9567,9817 is 1.
Lets's calculate GCF of 9567,9817
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9567,9817 By Matching Biggest Common Factor Method
Now, list down the factors of 9567
:1,3,9,1063,3189,9567
Now, list down the factors of 9817
:1,9817
Greatest Common Factor
We found the factors 9567,9817 . The biggest common factor number is the GCF number.
So the greatest common factor 9567,9817 is 1.
Lets's calculate LCM of 634,9444
| 2 | 634, 9444 |
| 317, 4722 |
∴ So the LCM of the given numbers is 2 x 317 x 4722 = 2993748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2993748
Therefore, the GCF of Fractions 9567/634,9817/9444 is 1/2993748
Least Common Multiple of 634,9444 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 634,9444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,9444) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,9444) x common factors =2 x 1 = 2
LCM(634,9444) = ( 634 × 9444 ) / 2
LCM(634,9444) = 5987496 / 2
LCM(634,9444) = 2993748
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FAQs on GCF of Fractions of 9567/634, 9817/9444
1. What is the HCF of 9567,9817?
The HCF of 9567,9817 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 9567/634, 9817/9444?
Answer: GCF of Numerators as per given numbers 9567/634, 9817/9444 is
GCF of Numerators i.e. for 9567,9817 is 1
LCM of denominators i.e. for 634,9444 is 2993748.
Thus, GCF of Fractions is 1/2993748.Finally, GCF of Fractions for 9567/634, 9817/9444 is 1/2993748.