GCF of 7396/219, 1983/5242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7396/219, 1983/5242 i.e 1/1147998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7396/219, 1983/5242.
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 7396/219,1983/5242?
Given fractions are 7396/219,1983/5242
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 7396/219,1983/5242, numerators are 7396,1983
Denominators are 219,5242
The GCF of 7396,1983 is 1 .
LCM of 219,5242 is 1147998.
The greatest common factor of 7396/219,1983/5242 = [GCF of 7396,1983]/[LCM of 219,5242]= 1/1147998
Therefore, the GCF of 7396/219,1983/5242 is 1/1147998.
To find the highest common factor of 7396,1983, we have to find the factors of both numbers and list the highest common factor.
The factors of 7396 are 1, 2, 4, 43, 86, 172, 1849, 3698, 7396
The factors of 1983 are 1, 3, 661, 1983
The HCF of 7396,1983 is 1.
Lets's calculate GCF of 7396,1983
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7396,1983 By Matching Biggest Common Factor Method
Now, list down the factors of 7396
:1,2,4,43,86,172,1849,3698,7396
Now, list down the factors of 1983
:1,3,661,1983
Greatest Common Factor
We found the factors 7396,1983 . The biggest common factor number is the GCF number.
So the greatest common factor 7396,1983 is 1.
Lets's calculate LCM of 219,5242
Given numbers has no common factors except 1. So, there LCM is their product i.e 1147998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1147998
Therefore, the GCF of Fractions 7396/219,1983/5242 is 1/1147998
Least Common Multiple of 219,5242 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 219,5242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,5242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,5242) x common factors =1 x 1 = 1
LCM(219,5242) = ( 219 × 5242 ) / 1
LCM(219,5242) = 1147998 / 1
LCM(219,5242) = 1147998
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FAQs on GCF of Fractions of 7396/219, 1983/5242
1. What is the HCF of 7396,1983?
The HCF of 7396,1983 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 7396/219, 1983/5242?
Answer: GCF of Numerators as per given numbers 7396/219, 1983/5242 is
GCF of Numerators i.e. for 7396,1983 is 1
LCM of denominators i.e. for 219,5242 is 1147998.
Thus, GCF of Fractions is 1/1147998.Finally, GCF of Fractions for 7396/219, 1983/5242 is 1/1147998.