GCF of 7405/972, 2759/5589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7405/972, 2759/5589 i.e 1/22356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7405/972, 2759/5589.
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 7405/972,2759/5589?
Given fractions are 7405/972,2759/5589
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 7405/972,2759/5589, numerators are 7405,2759
Denominators are 972,5589
The GCF of 7405,2759 is 1 .
LCM of 972,5589 is 22356.
The greatest common factor of 7405/972,2759/5589 = [GCF of 7405,2759]/[LCM of 972,5589]= 1/22356
Therefore, the GCF of 7405/972,2759/5589 is 1/22356.
To find the highest common factor of 7405,2759, we have to find the factors of both numbers and list the highest common factor.
The factors of 7405 are 1, 5, 1481, 7405
The factors of 2759 are 1, 31, 89, 2759
The HCF of 7405,2759 is 1.
Lets's calculate GCF of 7405,2759
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7405,2759 By Matching Biggest Common Factor Method
Now, list down the factors of 7405
:1,5,1481,7405
Now, list down the factors of 2759
:1,31,89,2759
Greatest Common Factor
We found the factors 7405,2759 . The biggest common factor number is the GCF number.
So the greatest common factor 7405,2759 is 1.
Lets's calculate LCM of 972,5589
| 3 | 972, 5589 |
| 3 | 324, 1863 |
| 3 | 108, 621 |
| 3 | 36, 207 |
| 3 | 12, 69 |
| 4, 23 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 3 x 4 x 23 = 22356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22356
Therefore, the GCF of Fractions 7405/972,2759/5589 is 1/22356
Least Common Multiple of 972,5589 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 972,5589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,5589) = 243
common factors(in case of two or more numbers have common factors) = 1
GCF(972,5589) x common factors =243 x 1 = 243
LCM(972,5589) = ( 972 × 5589 ) / 243
LCM(972,5589) = 5432508 / 243
LCM(972,5589) = 22356
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7405/972, 2759/5589
1. What is the HCF of 7405,2759?
The HCF of 7405,2759 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 7405/972, 2759/5589?
Answer: GCF of Numerators as per given numbers 7405/972, 2759/5589 is
GCF of Numerators i.e. for 7405,2759 is 1
LCM of denominators i.e. for 972,5589 is 22356.
Thus, GCF of Fractions is 1/22356.Finally, GCF of Fractions for 7405/972, 2759/5589 is 1/22356.