GCF of 9907/789, 9164/711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9907/789, 9164/711 i.e 1/186993 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9907/789, 9164/711.
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 9907/789,9164/711?
Given fractions are 9907/789,9164/711
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 9907/789,9164/711, numerators are 9907,9164
Denominators are 789,711
The GCF of 9907,9164 is 1 .
LCM of 789,711 is 186993.
The greatest common factor of 9907/789,9164/711 = [GCF of 9907,9164]/[LCM of 789,711]= 1/186993
Therefore, the GCF of 9907/789,9164/711 is 1/186993.
To find the highest common factor of 9907,9164, we have to find the factors of both numbers and list the highest common factor.
The factors of 9907 are 1, 9907
The factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164
The HCF of 9907,9164 is 1.
Lets's calculate GCF of 9907,9164
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9907,9164 By Matching Biggest Common Factor Method
Now, list down the factors of 9907
:1,9907
Now, list down the factors of 9164
:1,2,4,29,58,79,116,158,316,2291,4582,9164
Greatest Common Factor
We found the factors 9907,9164 . The biggest common factor number is the GCF number.
So the greatest common factor 9907,9164 is 1.
Lets's calculate LCM of 789,711
| 3 | 789, 711 |
| 263, 237 |
∴ So the LCM of the given numbers is 3 x 263 x 237 = 186993
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186993
Therefore, the GCF of Fractions 9907/789,9164/711 is 1/186993
Least Common Multiple of 789,711 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 789,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,711) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(789,711) x common factors =3 x 1 = 3
LCM(789,711) = ( 789 × 711 ) / 3
LCM(789,711) = 560979 / 3
LCM(789,711) = 186993
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FAQs on GCF of Fractions of 9907/789, 9164/711
1. What is the HCF of 9907,9164?
The HCF of 9907,9164 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 9907/789, 9164/711?
Answer: GCF of Numerators as per given numbers 9907/789, 9164/711 is
GCF of Numerators i.e. for 9907,9164 is 1
LCM of denominators i.e. for 789,711 is 186993.
Thus, GCF of Fractions is 1/186993.Finally, GCF of Fractions for 9907/789, 9164/711 is 1/186993.