GCF of 6189/709, 5050/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6189/709, 5050/241 i.e 1/170869 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6189/709, 5050/241.
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 6189/709,5050/241?
Given fractions are 6189/709,5050/241
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 6189/709,5050/241, numerators are 6189,5050
Denominators are 709,241
The GCF of 6189,5050 is 1 .
LCM of 709,241 is 170869.
The greatest common factor of 6189/709,5050/241 = [GCF of 6189,5050]/[LCM of 709,241]= 1/170869
Therefore, the GCF of 6189/709,5050/241 is 1/170869.
To find the highest common factor of 6189,5050, we have to find the factors of both numbers and list the highest common factor.
The factors of 6189 are 1, 3, 2063, 6189
The factors of 5050 are 1, 2, 5, 10, 25, 50, 101, 202, 505, 1010, 2525, 5050
The HCF of 6189,5050 is 1.
Lets's calculate GCF of 6189,5050
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6189,5050 By Matching Biggest Common Factor Method
Now, list down the factors of 6189
:1,3,2063,6189
Now, list down the factors of 5050
:1,2,5,10,25,50,101,202,505,1010,2525,5050
Greatest Common Factor
We found the factors 6189,5050 . The biggest common factor number is the GCF number.
So the greatest common factor 6189,5050 is 1.
Lets's calculate LCM of 709,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 170869
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170869
Therefore, the GCF of Fractions 6189/709,5050/241 is 1/170869
Least Common Multiple of 709,241 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 709,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,241) x common factors =1 x 1 = 1
LCM(709,241) = ( 709 × 241 ) / 1
LCM(709,241) = 170869 / 1
LCM(709,241) = 170869
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FAQs on GCF of Fractions of 6189/709, 5050/241
1. What is the HCF of 6189,5050?
The HCF of 6189,5050 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 6189/709, 5050/241?
Answer: GCF of Numerators as per given numbers 6189/709, 5050/241 is
GCF of Numerators i.e. for 6189,5050 is 1
LCM of denominators i.e. for 709,241 is 170869.
Thus, GCF of Fractions is 1/170869.Finally, GCF of Fractions for 6189/709, 5050/241 is 1/170869.