GCF of 611/144, 141/930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 611/144, 141/930 i.e 47/22320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 611/144, 141/930.
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 611/144,141/930?
Given fractions are 611/144,141/930
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 611/144,141/930, numerators are 611,141
Denominators are 144,930
The GCF of 611,141 is 47 .
LCM of 144,930 is 22320.
The greatest common factor of 611/144,141/930 = [GCF of 611,141]/[LCM of 144,930]= 47/22320
Therefore, the GCF of 611/144,141/930 is 47/22320.
To find the highest common factor of 611,141, we have to find the factors of both numbers and list the highest common factor.
The factors of 611 are 1, 13, 47, 611
The factors of 141 are 1, 3, 47, 141
The HCF of 611,141 is 47.
Lets's calculate GCF of 611,141
| 47 | 611, 141 |
| 13, 3 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 611,141 By Matching Biggest Common Factor Method
Now, list down the factors of 611
:1,13,47,611
Now, list down the factors of 141
:1,3,47,141
Greatest Common Factor
We found the factors 611,141 . The biggest common factor number is the GCF number.
So the greatest common factor 611,141 is 47.
Lets's calculate LCM of 144,930
| 2 | 144, 930 |
| 3 | 72, 465 |
| 24, 155 |
∴ So the LCM of the given numbers is 2 x 3 x 24 x 155 = 22320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/22320
Therefore, the GCF of Fractions 611/144,141/930 is 47/22320
Least Common Multiple of 144,930 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 144,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,930) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(144,930) x common factors =6 x 1 = 6
LCM(144,930) = ( 144 × 930 ) / 6
LCM(144,930) = 133920 / 6
LCM(144,930) = 22320
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 611/144, 141/930
1. What is the HCF of 611,141?
The HCF of 611,141 is 47
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 611/144, 141/930?
Answer: GCF of Numerators as per given numbers 611/144, 141/930 is
GCF of Numerators i.e. for 611,141 is 47
LCM of denominators i.e. for 144,930 is 22320.
Thus, GCF of Fractions is 47/22320.Finally, GCF of Fractions for 611/144, 141/930 is 47/22320.