GCF of 8347/973, 1939/5960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8347/973, 1939/5960 i.e 1/5799080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8347/973, 1939/5960.
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 8347/973,1939/5960?
Given fractions are 8347/973,1939/5960
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 8347/973,1939/5960, numerators are 8347,1939
Denominators are 973,5960
The GCF of 8347,1939 is 1 .
LCM of 973,5960 is 5799080.
The greatest common factor of 8347/973,1939/5960 = [GCF of 8347,1939]/[LCM of 973,5960]= 1/5799080
Therefore, the GCF of 8347/973,1939/5960 is 1/5799080.
To find the highest common factor of 8347,1939, we have to find the factors of both numbers and list the highest common factor.
The factors of 8347 are 1, 17, 491, 8347
The factors of 1939 are 1, 7, 277, 1939
The HCF of 8347,1939 is 1.
Lets's calculate GCF of 8347,1939
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8347,1939 By Matching Biggest Common Factor Method
Now, list down the factors of 8347
:1,17,491,8347
Now, list down the factors of 1939
:1,7,277,1939
Greatest Common Factor
We found the factors 8347,1939 . The biggest common factor number is the GCF number.
So the greatest common factor 8347,1939 is 1.
Lets's calculate LCM of 973,5960
Given numbers has no common factors except 1. So, there LCM is their product i.e 5799080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5799080
Therefore, the GCF of Fractions 8347/973,1939/5960 is 1/5799080
Least Common Multiple of 973,5960 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 973,5960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,5960) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,5960) x common factors =1 x 1 = 1
LCM(973,5960) = ( 973 × 5960 ) / 1
LCM(973,5960) = 5799080 / 1
LCM(973,5960) = 5799080
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FAQs on GCF of Fractions of 8347/973, 1939/5960
1. What is the HCF of 8347,1939?
The HCF of 8347,1939 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 8347/973, 1939/5960?
Answer: GCF of Numerators as per given numbers 8347/973, 1939/5960 is
GCF of Numerators i.e. for 8347,1939 is 1
LCM of denominators i.e. for 973,5960 is 5799080.
Thus, GCF of Fractions is 1/5799080.Finally, GCF of Fractions for 8347/973, 1939/5960 is 1/5799080.