GCF of 7550/360, 5663/1197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7550/360, 5663/1197 i.e 1/47880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7550/360, 5663/1197.
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 7550/360,5663/1197?
Given fractions are 7550/360,5663/1197
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 7550/360,5663/1197, numerators are 7550,5663
Denominators are 360,1197
The GCF of 7550,5663 is 1 .
LCM of 360,1197 is 47880.
The greatest common factor of 7550/360,5663/1197 = [GCF of 7550,5663]/[LCM of 360,1197]= 1/47880
Therefore, the GCF of 7550/360,5663/1197 is 1/47880.
To find the highest common factor of 7550,5663, we have to find the factors of both numbers and list the highest common factor.
The factors of 7550 are 1, 2, 5, 10, 25, 50, 151, 302, 755, 1510, 3775, 7550
The factors of 5663 are 1, 7, 809, 5663
The HCF of 7550,5663 is 1.
Lets's calculate GCF of 7550,5663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7550,5663 By Matching Biggest Common Factor Method
Now, list down the factors of 7550
:1,2,5,10,25,50,151,302,755,1510,3775,7550
Now, list down the factors of 5663
:1,7,809,5663
Greatest Common Factor
We found the factors 7550,5663 . The biggest common factor number is the GCF number.
So the greatest common factor 7550,5663 is 1.
Lets's calculate LCM of 360,1197
| 3 | 360, 1197 |
| 3 | 120, 399 |
| 40, 133 |
∴ So the LCM of the given numbers is 3 x 3 x 40 x 133 = 47880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47880
Therefore, the GCF of Fractions 7550/360,5663/1197 is 1/47880
Least Common Multiple of 360,1197 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 360,1197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,1197) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(360,1197) x common factors =9 x 1 = 9
LCM(360,1197) = ( 360 × 1197 ) / 9
LCM(360,1197) = 430920 / 9
LCM(360,1197) = 47880
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7550/360, 5663/1197
1. What is the HCF of 7550,5663?
The HCF of 7550,5663 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 7550/360, 5663/1197?
Answer: GCF of Numerators as per given numbers 7550/360, 5663/1197 is
GCF of Numerators i.e. for 7550,5663 is 1
LCM of denominators i.e. for 360,1197 is 47880.
Thus, GCF of Fractions is 1/47880.Finally, GCF of Fractions for 7550/360, 5663/1197 is 1/47880.