GCF of 3807/140, 4162/285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3807/140, 4162/285 i.e 1/7980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3807/140, 4162/285.
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 3807/140,4162/285?
Given fractions are 3807/140,4162/285
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 3807/140,4162/285, numerators are 3807,4162
Denominators are 140,285
The GCF of 3807,4162 is 1 .
LCM of 140,285 is 7980.
The greatest common factor of 3807/140,4162/285 = [GCF of 3807,4162]/[LCM of 140,285]= 1/7980
Therefore, the GCF of 3807/140,4162/285 is 1/7980.
To find the highest common factor of 3807,4162, we have to find the factors of both numbers and list the highest common factor.
The factors of 3807 are 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807
The factors of 4162 are 1, 2, 2081, 4162
The HCF of 3807,4162 is 1.
Lets's calculate GCF of 3807,4162
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3807,4162 By Matching Biggest Common Factor Method
Now, list down the factors of 3807
:1,3,9,27,47,81,141,423,1269,3807
Now, list down the factors of 4162
:1,2,2081,4162
Greatest Common Factor
We found the factors 3807,4162 . The biggest common factor number is the GCF number.
So the greatest common factor 3807,4162 is 1.
Lets's calculate LCM of 140,285
| 5 | 140, 285 |
| 28, 57 |
∴ So the LCM of the given numbers is 5 x 28 x 57 = 7980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7980
Therefore, the GCF of Fractions 3807/140,4162/285 is 1/7980
Least Common Multiple of 140,285 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 140,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,285) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(140,285) x common factors =5 x 1 = 5
LCM(140,285) = ( 140 × 285 ) / 5
LCM(140,285) = 39900 / 5
LCM(140,285) = 7980
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3807/140, 4162/285
1. What is the HCF of 3807,4162?
The HCF of 3807,4162 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 3807/140, 4162/285?
Answer: GCF of Numerators as per given numbers 3807/140, 4162/285 is
GCF of Numerators i.e. for 3807,4162 is 1
LCM of denominators i.e. for 140,285 is 7980.
Thus, GCF of Fractions is 1/7980.Finally, GCF of Fractions for 3807/140, 4162/285 is 1/7980.