GCF of 3772/365, 1955/3984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3772/365, 1955/3984 i.e 23/1454160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3772/365, 1955/3984.
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 3772/365,1955/3984?
Given fractions are 3772/365,1955/3984
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 3772/365,1955/3984, numerators are 3772,1955
Denominators are 365,3984
The GCF of 3772,1955 is 23 .
LCM of 365,3984 is 1454160.
The greatest common factor of 3772/365,1955/3984 = [GCF of 3772,1955]/[LCM of 365,3984]= 23/1454160
Therefore, the GCF of 3772/365,1955/3984 is 23/1454160.
To find the highest common factor of 3772,1955, we have to find the factors of both numbers and list the highest common factor.
The factors of 3772 are 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772
The factors of 1955 are 1, 5, 17, 23, 85, 115, 391, 1955
The HCF of 3772,1955 is 23.
Lets's calculate GCF of 3772,1955
| 23 | 3772, 1955 |
| 164, 85 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 3772,1955 By Matching Biggest Common Factor Method
Now, list down the factors of 3772
:1,2,4,23,41,46,82,92,164,943,1886,3772
Now, list down the factors of 1955
:1,5,17,23,85,115,391,1955
Greatest Common Factor
We found the factors 3772,1955 . The biggest common factor number is the GCF number.
So the greatest common factor 3772,1955 is 23.
Lets's calculate LCM of 365,3984
Given numbers has no common factors except 1. So, there LCM is their product i.e 1454160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/1454160
Therefore, the GCF of Fractions 3772/365,1955/3984 is 23/1454160
Least Common Multiple of 365,3984 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 365,3984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,3984) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,3984) x common factors =1 x 1 = 1
LCM(365,3984) = ( 365 × 3984 ) / 1
LCM(365,3984) = 1454160 / 1
LCM(365,3984) = 1454160
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FAQs on GCF of Fractions of 3772/365, 1955/3984
1. What is the HCF of 3772,1955?
The HCF of 3772,1955 is 23
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 3772/365, 1955/3984?
Answer: GCF of Numerators as per given numbers 3772/365, 1955/3984 is
GCF of Numerators i.e. for 3772,1955 is 23
LCM of denominators i.e. for 365,3984 is 1454160.
Thus, GCF of Fractions is 23/1454160.Finally, GCF of Fractions for 3772/365, 1955/3984 is 23/1454160.