GCF of 6419/972, 7338/6215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6419/972, 7338/6215 i.e 1/6040980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6419/972, 7338/6215.
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 6419/972,7338/6215?
Given fractions are 6419/972,7338/6215
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 6419/972,7338/6215, numerators are 6419,7338
Denominators are 972,6215
The GCF of 6419,7338 is 1 .
LCM of 972,6215 is 6040980.
The greatest common factor of 6419/972,7338/6215 = [GCF of 6419,7338]/[LCM of 972,6215]= 1/6040980
Therefore, the GCF of 6419/972,7338/6215 is 1/6040980.
To find the highest common factor of 6419,7338, we have to find the factors of both numbers and list the highest common factor.
The factors of 6419 are 1, 7, 49, 131, 917, 6419
The factors of 7338 are 1, 2, 3, 6, 1223, 2446, 3669, 7338
The HCF of 6419,7338 is 1.
Lets's calculate GCF of 6419,7338
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6419,7338 By Matching Biggest Common Factor Method
Now, list down the factors of 6419
:1,7,49,131,917,6419
Now, list down the factors of 7338
:1,2,3,6,1223,2446,3669,7338
Greatest Common Factor
We found the factors 6419,7338 . The biggest common factor number is the GCF number.
So the greatest common factor 6419,7338 is 1.
Lets's calculate LCM of 972,6215
Given numbers has no common factors except 1. So, there LCM is their product i.e 6040980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6040980
Therefore, the GCF of Fractions 6419/972,7338/6215 is 1/6040980
Least Common Multiple of 972,6215 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 972,6215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,6215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(972,6215) x common factors =1 x 1 = 1
LCM(972,6215) = ( 972 × 6215 ) / 1
LCM(972,6215) = 6040980 / 1
LCM(972,6215) = 6040980
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FAQs on GCF of Fractions of 6419/972, 7338/6215
1. What is the HCF of 6419,7338?
The HCF of 6419,7338 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 6419/972, 7338/6215?
Answer: GCF of Numerators as per given numbers 6419/972, 7338/6215 is
GCF of Numerators i.e. for 6419,7338 is 1
LCM of denominators i.e. for 972,6215 is 6040980.
Thus, GCF of Fractions is 1/6040980.Finally, GCF of Fractions for 6419/972, 7338/6215 is 1/6040980.