GCF of 3727/202, 2066/505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3727/202, 2066/505 i.e 1/1010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3727/202, 2066/505.
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 3727/202,2066/505?
Given fractions are 3727/202,2066/505
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 3727/202,2066/505, numerators are 3727,2066
Denominators are 202,505
The GCF of 3727,2066 is 1 .
LCM of 202,505 is 1010.
The greatest common factor of 3727/202,2066/505 = [GCF of 3727,2066]/[LCM of 202,505]= 1/1010
Therefore, the GCF of 3727/202,2066/505 is 1/1010.
To find the highest common factor of 3727,2066, we have to find the factors of both numbers and list the highest common factor.
The factors of 3727 are 1, 3727
The factors of 2066 are 1, 2, 1033, 2066
The HCF of 3727,2066 is 1.
Lets's calculate GCF of 3727,2066
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3727,2066 By Matching Biggest Common Factor Method
Now, list down the factors of 3727
:1,3727
Now, list down the factors of 2066
:1,2,1033,2066
Greatest Common Factor
We found the factors 3727,2066 . The biggest common factor number is the GCF number.
So the greatest common factor 3727,2066 is 1.
Lets's calculate LCM of 202,505
| 101 | 202, 505 |
| 2, 5 |
∴ So the LCM of the given numbers is 101 x 2 x 5 = 1010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1010
Therefore, the GCF of Fractions 3727/202,2066/505 is 1/1010
Least Common Multiple of 202,505 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 202,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,505) = 101
common factors(in case of two or more numbers have common factors) = 1
GCF(202,505) x common factors =101 x 1 = 101
LCM(202,505) = ( 202 × 505 ) / 101
LCM(202,505) = 102010 / 101
LCM(202,505) = 1010
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FAQs on GCF of Fractions of 3727/202, 2066/505
1. What is the HCF of 3727,2066?
The HCF of 3727,2066 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 3727/202, 2066/505?
Answer: GCF of Numerators as per given numbers 3727/202, 2066/505 is
GCF of Numerators i.e. for 3727,2066 is 1
LCM of denominators i.e. for 202,505 is 1010.
Thus, GCF of Fractions is 1/1010.Finally, GCF of Fractions for 3727/202, 2066/505 is 1/1010.