GCF of 9301/897, 6911/6888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9301/897, 6911/6888 i.e 1/2059512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9301/897, 6911/6888.
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 9301/897,6911/6888?
Given fractions are 9301/897,6911/6888
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 9301/897,6911/6888, numerators are 9301,6911
Denominators are 897,6888
The GCF of 9301,6911 is 1 .
LCM of 897,6888 is 2059512.
The greatest common factor of 9301/897,6911/6888 = [GCF of 9301,6911]/[LCM of 897,6888]= 1/2059512
Therefore, the GCF of 9301/897,6911/6888 is 1/2059512.
To find the highest common factor of 9301,6911, we have to find the factors of both numbers and list the highest common factor.
The factors of 9301 are 1, 71, 131, 9301
The factors of 6911 are 1, 6911
The HCF of 9301,6911 is 1.
Lets's calculate GCF of 9301,6911
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9301,6911 By Matching Biggest Common Factor Method
Now, list down the factors of 9301
:1,71,131,9301
Now, list down the factors of 6911
:1,6911
Greatest Common Factor
We found the factors 9301,6911 . The biggest common factor number is the GCF number.
So the greatest common factor 9301,6911 is 1.
Lets's calculate LCM of 897,6888
| 3 | 897, 6888 |
| 299, 2296 |
∴ So the LCM of the given numbers is 3 x 299 x 2296 = 2059512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2059512
Therefore, the GCF of Fractions 9301/897,6911/6888 is 1/2059512
Least Common Multiple of 897,6888 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 897,6888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,6888) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(897,6888) x common factors =3 x 1 = 3
LCM(897,6888) = ( 897 × 6888 ) / 3
LCM(897,6888) = 6178536 / 3
LCM(897,6888) = 2059512
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FAQs on GCF of Fractions of 9301/897, 6911/6888
1. What is the HCF of 9301,6911?
The HCF of 9301,6911 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 9301/897, 6911/6888?
Answer: GCF of Numerators as per given numbers 9301/897, 6911/6888 is
GCF of Numerators i.e. for 9301,6911 is 1
LCM of denominators i.e. for 897,6888 is 2059512.
Thus, GCF of Fractions is 1/2059512.Finally, GCF of Fractions for 9301/897, 6911/6888 is 1/2059512.