GCF of 4190/157, 3969/6373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4190/157, 3969/6373 i.e 1/1000561 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4190/157, 3969/6373.
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 4190/157,3969/6373?
Given fractions are 4190/157,3969/6373
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 4190/157,3969/6373, numerators are 4190,3969
Denominators are 157,6373
The GCF of 4190,3969 is 1 .
LCM of 157,6373 is 1000561.
The greatest common factor of 4190/157,3969/6373 = [GCF of 4190,3969]/[LCM of 157,6373]= 1/1000561
Therefore, the GCF of 4190/157,3969/6373 is 1/1000561.
To find the highest common factor of 4190,3969, we have to find the factors of both numbers and list the highest common factor.
The factors of 4190 are 1, 2, 5, 10, 419, 838, 2095, 4190
The factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969
The HCF of 4190,3969 is 1.
Lets's calculate GCF of 4190,3969
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4190,3969 By Matching Biggest Common Factor Method
Now, list down the factors of 4190
:1,2,5,10,419,838,2095,4190
Now, list down the factors of 3969
:1,3,7,9,21,27,49,63,81,147,189,441,567,1323,3969
Greatest Common Factor
We found the factors 4190,3969 . The biggest common factor number is the GCF number.
So the greatest common factor 4190,3969 is 1.
Lets's calculate LCM of 157,6373
Given numbers has no common factors except 1. So, there LCM is their product i.e 1000561
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1000561
Therefore, the GCF of Fractions 4190/157,3969/6373 is 1/1000561
Least Common Multiple of 157,6373 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 157,6373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,6373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,6373) x common factors =1 x 1 = 1
LCM(157,6373) = ( 157 × 6373 ) / 1
LCM(157,6373) = 1000561 / 1
LCM(157,6373) = 1000561
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FAQs on GCF of Fractions of 4190/157, 3969/6373
1. What is the HCF of 4190,3969?
The HCF of 4190,3969 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 4190/157, 3969/6373?
Answer: GCF of Numerators as per given numbers 4190/157, 3969/6373 is
GCF of Numerators i.e. for 4190,3969 is 1
LCM of denominators i.e. for 157,6373 is 1000561.
Thus, GCF of Fractions is 1/1000561.Finally, GCF of Fractions for 4190/157, 3969/6373 is 1/1000561.