GCF of 9656/609, 9007/151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9656/609, 9007/151 i.e 1/91959 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9656/609, 9007/151.
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 9656/609,9007/151?
Given fractions are 9656/609,9007/151
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 9656/609,9007/151, numerators are 9656,9007
Denominators are 609,151
The GCF of 9656,9007 is 1 .
LCM of 609,151 is 91959.
The greatest common factor of 9656/609,9007/151 = [GCF of 9656,9007]/[LCM of 609,151]= 1/91959
Therefore, the GCF of 9656/609,9007/151 is 1/91959.
To find the highest common factor of 9656,9007, we have to find the factors of both numbers and list the highest common factor.
The factors of 9656 are 1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828, 9656
The factors of 9007 are 1, 9007
The HCF of 9656,9007 is 1.
Lets's calculate GCF of 9656,9007
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9656,9007 By Matching Biggest Common Factor Method
Now, list down the factors of 9656
:1,2,4,8,17,34,68,71,136,142,284,568,1207,2414,4828,9656
Now, list down the factors of 9007
:1,9007
Greatest Common Factor
We found the factors 9656,9007 . The biggest common factor number is the GCF number.
So the greatest common factor 9656,9007 is 1.
Lets's calculate LCM of 609,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 91959
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91959
Therefore, the GCF of Fractions 9656/609,9007/151 is 1/91959
Least Common Multiple of 609,151 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 609,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,151) x common factors =1 x 1 = 1
LCM(609,151) = ( 609 × 151 ) / 1
LCM(609,151) = 91959 / 1
LCM(609,151) = 91959
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FAQs on GCF of Fractions of 9656/609, 9007/151
1. What is the HCF of 9656,9007?
The HCF of 9656,9007 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 9656/609, 9007/151?
Answer: GCF of Numerators as per given numbers 9656/609, 9007/151 is
GCF of Numerators i.e. for 9656,9007 is 1
LCM of denominators i.e. for 609,151 is 91959.
Thus, GCF of Fractions is 1/91959.Finally, GCF of Fractions for 9656/609, 9007/151 is 1/91959.