GCF of 9685/123, 8717/907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9685/123, 8717/907 i.e 1/111561 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9685/123, 8717/907.
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 9685/123,8717/907?
Given fractions are 9685/123,8717/907
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 9685/123,8717/907, numerators are 9685,8717
Denominators are 123,907
The GCF of 9685,8717 is 1 .
LCM of 123,907 is 111561.
The greatest common factor of 9685/123,8717/907 = [GCF of 9685,8717]/[LCM of 123,907]= 1/111561
Therefore, the GCF of 9685/123,8717/907 is 1/111561.
To find the highest common factor of 9685,8717, we have to find the factors of both numbers and list the highest common factor.
The factors of 9685 are 1, 5, 13, 65, 149, 745, 1937, 9685
The factors of 8717 are 1, 23, 379, 8717
The HCF of 9685,8717 is 1.
Lets's calculate GCF of 9685,8717
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9685,8717 By Matching Biggest Common Factor Method
Now, list down the factors of 9685
:1,5,13,65,149,745,1937,9685
Now, list down the factors of 8717
:1,23,379,8717
Greatest Common Factor
We found the factors 9685,8717 . The biggest common factor number is the GCF number.
So the greatest common factor 9685,8717 is 1.
Lets's calculate LCM of 123,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 111561
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111561
Therefore, the GCF of Fractions 9685/123,8717/907 is 1/111561
Least Common Multiple of 123,907 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 123,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,907) x common factors =1 x 1 = 1
LCM(123,907) = ( 123 × 907 ) / 1
LCM(123,907) = 111561 / 1
LCM(123,907) = 111561
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FAQs on GCF of Fractions of 9685/123, 8717/907
1. What is the HCF of 9685,8717?
The HCF of 9685,8717 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 9685/123, 8717/907?
Answer: GCF of Numerators as per given numbers 9685/123, 8717/907 is
GCF of Numerators i.e. for 9685,8717 is 1
LCM of denominators i.e. for 123,907 is 111561.
Thus, GCF of Fractions is 1/111561.Finally, GCF of Fractions for 9685/123, 8717/907 is 1/111561.