GCF of 9711/542, 8354/5951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9711/542, 8354/5951 i.e 1/3225442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9711/542, 8354/5951.
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 9711/542,8354/5951?
Given fractions are 9711/542,8354/5951
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 9711/542,8354/5951, numerators are 9711,8354
Denominators are 542,5951
The GCF of 9711,8354 is 1 .
LCM of 542,5951 is 3225442.
The greatest common factor of 9711/542,8354/5951 = [GCF of 9711,8354]/[LCM of 542,5951]= 1/3225442
Therefore, the GCF of 9711/542,8354/5951 is 1/3225442.
To find the highest common factor of 9711,8354, we have to find the factors of both numbers and list the highest common factor.
The factors of 9711 are 1, 3, 9, 13, 39, 83, 117, 249, 747, 1079, 3237, 9711
The factors of 8354 are 1, 2, 4177, 8354
The HCF of 9711,8354 is 1.
Lets's calculate GCF of 9711,8354
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9711,8354 By Matching Biggest Common Factor Method
Now, list down the factors of 9711
:1,3,9,13,39,83,117,249,747,1079,3237,9711
Now, list down the factors of 8354
:1,2,4177,8354
Greatest Common Factor
We found the factors 9711,8354 . The biggest common factor number is the GCF number.
So the greatest common factor 9711,8354 is 1.
Lets's calculate LCM of 542,5951
Given numbers has no common factors except 1. So, there LCM is their product i.e 3225442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3225442
Therefore, the GCF of Fractions 9711/542,8354/5951 is 1/3225442
Least Common Multiple of 542,5951 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 542,5951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,5951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(542,5951) x common factors =1 x 1 = 1
LCM(542,5951) = ( 542 × 5951 ) / 1
LCM(542,5951) = 3225442 / 1
LCM(542,5951) = 3225442
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FAQs on GCF of Fractions of 9711/542, 8354/5951
1. What is the HCF of 9711,8354?
The HCF of 9711,8354 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 9711/542, 8354/5951?
Answer: GCF of Numerators as per given numbers 9711/542, 8354/5951 is
GCF of Numerators i.e. for 9711,8354 is 1
LCM of denominators i.e. for 542,5951 is 3225442.
Thus, GCF of Fractions is 1/3225442.Finally, GCF of Fractions for 9711/542, 8354/5951 is 1/3225442.