GCF of 4117/440, 1812/3764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4117/440, 1812/3764 i.e 1/414040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4117/440, 1812/3764.
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 4117/440,1812/3764?
Given fractions are 4117/440,1812/3764
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 4117/440,1812/3764, numerators are 4117,1812
Denominators are 440,3764
The GCF of 4117,1812 is 1 .
LCM of 440,3764 is 414040.
The greatest common factor of 4117/440,1812/3764 = [GCF of 4117,1812]/[LCM of 440,3764]= 1/414040
Therefore, the GCF of 4117/440,1812/3764 is 1/414040.
To find the highest common factor of 4117,1812, we have to find the factors of both numbers and list the highest common factor.
The factors of 4117 are 1, 23, 179, 4117
The factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812
The HCF of 4117,1812 is 1.
Lets's calculate GCF of 4117,1812
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4117,1812 By Matching Biggest Common Factor Method
Now, list down the factors of 4117
:1,23,179,4117
Now, list down the factors of 1812
:1,2,3,4,6,12,151,302,453,604,906,1812
Greatest Common Factor
We found the factors 4117,1812 . The biggest common factor number is the GCF number.
So the greatest common factor 4117,1812 is 1.
Lets's calculate LCM of 440,3764
| 2 | 440, 3764 |
| 2 | 220, 1882 |
| 110, 941 |
∴ So the LCM of the given numbers is 2 x 2 x 110 x 941 = 414040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414040
Therefore, the GCF of Fractions 4117/440,1812/3764 is 1/414040
Least Common Multiple of 440,3764 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 440,3764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,3764) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(440,3764) x common factors =4 x 1 = 4
LCM(440,3764) = ( 440 × 3764 ) / 4
LCM(440,3764) = 1656160 / 4
LCM(440,3764) = 414040
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FAQs on GCF of Fractions of 4117/440, 1812/3764
1. What is the HCF of 4117,1812?
The HCF of 4117,1812 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 4117/440, 1812/3764?
Answer: GCF of Numerators as per given numbers 4117/440, 1812/3764 is
GCF of Numerators i.e. for 4117,1812 is 1
LCM of denominators i.e. for 440,3764 is 414040.
Thus, GCF of Fractions is 1/414040.Finally, GCF of Fractions for 4117/440, 1812/3764 is 1/414040.