GCF of 3977/232, 3692/485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3977/232, 3692/485 i.e 1/112520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3977/232, 3692/485.
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 3977/232,3692/485?
Given fractions are 3977/232,3692/485
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 3977/232,3692/485, numerators are 3977,3692
Denominators are 232,485
The GCF of 3977,3692 is 1 .
LCM of 232,485 is 112520.
The greatest common factor of 3977/232,3692/485 = [GCF of 3977,3692]/[LCM of 232,485]= 1/112520
Therefore, the GCF of 3977/232,3692/485 is 1/112520.
To find the highest common factor of 3977,3692, we have to find the factors of both numbers and list the highest common factor.
The factors of 3977 are 1, 41, 97, 3977
The factors of 3692 are 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692
The HCF of 3977,3692 is 1.
Lets's calculate GCF of 3977,3692
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3977,3692 By Matching Biggest Common Factor Method
Now, list down the factors of 3977
:1,41,97,3977
Now, list down the factors of 3692
:1,2,4,13,26,52,71,142,284,923,1846,3692
Greatest Common Factor
We found the factors 3977,3692 . The biggest common factor number is the GCF number.
So the greatest common factor 3977,3692 is 1.
Lets's calculate LCM of 232,485
Given numbers has no common factors except 1. So, there LCM is their product i.e 112520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112520
Therefore, the GCF of Fractions 3977/232,3692/485 is 1/112520
Least Common Multiple of 232,485 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 232,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,485) x common factors =1 x 1 = 1
LCM(232,485) = ( 232 × 485 ) / 1
LCM(232,485) = 112520 / 1
LCM(232,485) = 112520
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FAQs on GCF of Fractions of 3977/232, 3692/485
1. What is the HCF of 3977,3692?
The HCF of 3977,3692 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 3977/232, 3692/485?
Answer: GCF of Numerators as per given numbers 3977/232, 3692/485 is
GCF of Numerators i.e. for 3977,3692 is 1
LCM of denominators i.e. for 232,485 is 112520.
Thus, GCF of Fractions is 1/112520.Finally, GCF of Fractions for 3977/232, 3692/485 is 1/112520.