GCF of 9559/213, 8628/9238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9559/213, 8628/9238 i.e 1/1967694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9559/213, 8628/9238.
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 9559/213,8628/9238?
Given fractions are 9559/213,8628/9238
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 9559/213,8628/9238, numerators are 9559,8628
Denominators are 213,9238
The GCF of 9559,8628 is 1 .
LCM of 213,9238 is 1967694.
The greatest common factor of 9559/213,8628/9238 = [GCF of 9559,8628]/[LCM of 213,9238]= 1/1967694
Therefore, the GCF of 9559/213,8628/9238 is 1/1967694.
To find the highest common factor of 9559,8628, we have to find the factors of both numbers and list the highest common factor.
The factors of 9559 are 1, 11, 79, 121, 869, 9559
The factors of 8628 are 1, 2, 3, 4, 6, 12, 719, 1438, 2157, 2876, 4314, 8628
The HCF of 9559,8628 is 1.
Lets's calculate GCF of 9559,8628
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9559,8628 By Matching Biggest Common Factor Method
Now, list down the factors of 9559
:1,11,79,121,869,9559
Now, list down the factors of 8628
:1,2,3,4,6,12,719,1438,2157,2876,4314,8628
Greatest Common Factor
We found the factors 9559,8628 . The biggest common factor number is the GCF number.
So the greatest common factor 9559,8628 is 1.
Lets's calculate LCM of 213,9238
Given numbers has no common factors except 1. So, there LCM is their product i.e 1967694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1967694
Therefore, the GCF of Fractions 9559/213,8628/9238 is 1/1967694
Least Common Multiple of 213,9238 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 213,9238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,9238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,9238) x common factors =1 x 1 = 1
LCM(213,9238) = ( 213 × 9238 ) / 1
LCM(213,9238) = 1967694 / 1
LCM(213,9238) = 1967694
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FAQs on GCF of Fractions of 9559/213, 8628/9238
1. What is the HCF of 9559,8628?
The HCF of 9559,8628 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 9559/213, 8628/9238?
Answer: GCF of Numerators as per given numbers 9559/213, 8628/9238 is
GCF of Numerators i.e. for 9559,8628 is 1
LCM of denominators i.e. for 213,9238 is 1967694.
Thus, GCF of Fractions is 1/1967694.Finally, GCF of Fractions for 9559/213, 8628/9238 is 1/1967694.