GCF of 9411/967, 5810/1971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9411/967, 5810/1971 i.e 1/1905957 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9411/967, 5810/1971.
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 9411/967,5810/1971?
Given fractions are 9411/967,5810/1971
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 9411/967,5810/1971, numerators are 9411,5810
Denominators are 967,1971
The GCF of 9411,5810 is 1 .
LCM of 967,1971 is 1905957.
The greatest common factor of 9411/967,5810/1971 = [GCF of 9411,5810]/[LCM of 967,1971]= 1/1905957
Therefore, the GCF of 9411/967,5810/1971 is 1/1905957.
To find the highest common factor of 9411,5810, we have to find the factors of both numbers and list the highest common factor.
The factors of 9411 are 1, 3, 3137, 9411
The factors of 5810 are 1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810
The HCF of 9411,5810 is 1.
Lets's calculate GCF of 9411,5810
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9411,5810 By Matching Biggest Common Factor Method
Now, list down the factors of 9411
:1,3,3137,9411
Now, list down the factors of 5810
:1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810
Greatest Common Factor
We found the factors 9411,5810 . The biggest common factor number is the GCF number.
So the greatest common factor 9411,5810 is 1.
Lets's calculate LCM of 967,1971
Given numbers has no common factors except 1. So, there LCM is their product i.e 1905957
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1905957
Therefore, the GCF of Fractions 9411/967,5810/1971 is 1/1905957
Least Common Multiple of 967,1971 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 967,1971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,1971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,1971) x common factors =1 x 1 = 1
LCM(967,1971) = ( 967 × 1971 ) / 1
LCM(967,1971) = 1905957 / 1
LCM(967,1971) = 1905957
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FAQs on GCF of Fractions of 9411/967, 5810/1971
1. What is the HCF of 9411,5810?
The HCF of 9411,5810 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 9411/967, 5810/1971?
Answer: GCF of Numerators as per given numbers 9411/967, 5810/1971 is
GCF of Numerators i.e. for 9411,5810 is 1
LCM of denominators i.e. for 967,1971 is 1905957.
Thus, GCF of Fractions is 1/1905957.Finally, GCF of Fractions for 9411/967, 5810/1971 is 1/1905957.