GCF of 5550/137, 8759/9838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5550/137, 8759/9838 i.e 1/1347806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5550/137, 8759/9838.
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 5550/137,8759/9838?
Given fractions are 5550/137,8759/9838
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 5550/137,8759/9838, numerators are 5550,8759
Denominators are 137,9838
The GCF of 5550,8759 is 1 .
LCM of 137,9838 is 1347806.
The greatest common factor of 5550/137,8759/9838 = [GCF of 5550,8759]/[LCM of 137,9838]= 1/1347806
Therefore, the GCF of 5550/137,8759/9838 is 1/1347806.
To find the highest common factor of 5550,8759, we have to find the factors of both numbers and list the highest common factor.
The factors of 5550 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 74, 75, 111, 150, 185, 222, 370, 555, 925, 1110, 1850, 2775, 5550
The factors of 8759 are 1, 19, 461, 8759
The HCF of 5550,8759 is 1.
Lets's calculate GCF of 5550,8759
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5550,8759 By Matching Biggest Common Factor Method
Now, list down the factors of 5550
:1,2,3,5,6,10,15,25,30,37,50,74,75,111,150,185,222,370,555,925,1110,1850,2775,5550
Now, list down the factors of 8759
:1,19,461,8759
Greatest Common Factor
We found the factors 5550,8759 . The biggest common factor number is the GCF number.
So the greatest common factor 5550,8759 is 1.
Lets's calculate LCM of 137,9838
Given numbers has no common factors except 1. So, there LCM is their product i.e 1347806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1347806
Therefore, the GCF of Fractions 5550/137,8759/9838 is 1/1347806
Least Common Multiple of 137,9838 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 137,9838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,9838) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,9838) x common factors =1 x 1 = 1
LCM(137,9838) = ( 137 × 9838 ) / 1
LCM(137,9838) = 1347806 / 1
LCM(137,9838) = 1347806
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5550/137, 8759/9838
1. What is the HCF of 5550,8759?
The HCF of 5550,8759 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 5550/137, 8759/9838?
Answer: GCF of Numerators as per given numbers 5550/137, 8759/9838 is
GCF of Numerators i.e. for 5550,8759 is 1
LCM of denominators i.e. for 137,9838 is 1347806.
Thus, GCF of Fractions is 1/1347806.Finally, GCF of Fractions for 5550/137, 8759/9838 is 1/1347806.