GCF of 3041/272, 4465/4780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3041/272, 4465/4780 i.e 1/325040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3041/272, 4465/4780.
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 3041/272,4465/4780?
Given fractions are 3041/272,4465/4780
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 3041/272,4465/4780, numerators are 3041,4465
Denominators are 272,4780
The GCF of 3041,4465 is 1 .
LCM of 272,4780 is 325040.
The greatest common factor of 3041/272,4465/4780 = [GCF of 3041,4465]/[LCM of 272,4780]= 1/325040
Therefore, the GCF of 3041/272,4465/4780 is 1/325040.
To find the highest common factor of 3041,4465, we have to find the factors of both numbers and list the highest common factor.
The factors of 3041 are 1, 3041
The factors of 4465 are 1, 5, 19, 47, 95, 235, 893, 4465
The HCF of 3041,4465 is 1.
Lets's calculate GCF of 3041,4465
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3041,4465 By Matching Biggest Common Factor Method
Now, list down the factors of 3041
:1,3041
Now, list down the factors of 4465
:1,5,19,47,95,235,893,4465
Greatest Common Factor
We found the factors 3041,4465 . The biggest common factor number is the GCF number.
So the greatest common factor 3041,4465 is 1.
Lets's calculate LCM of 272,4780
| 2 | 272, 4780 |
| 2 | 136, 2390 |
| 68, 1195 |
∴ So the LCM of the given numbers is 2 x 2 x 68 x 1195 = 325040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325040
Therefore, the GCF of Fractions 3041/272,4465/4780 is 1/325040
Least Common Multiple of 272,4780 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 272,4780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,4780) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(272,4780) x common factors =4 x 1 = 4
LCM(272,4780) = ( 272 × 4780 ) / 4
LCM(272,4780) = 1300160 / 4
LCM(272,4780) = 325040
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3041/272, 4465/4780
1. What is the HCF of 3041,4465?
The HCF of 3041,4465 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 3041/272, 4465/4780?
Answer: GCF of Numerators as per given numbers 3041/272, 4465/4780 is
GCF of Numerators i.e. for 3041,4465 is 1
LCM of denominators i.e. for 272,4780 is 325040.
Thus, GCF of Fractions is 1/325040.Finally, GCF of Fractions for 3041/272, 4465/4780 is 1/325040.