GCF of 6261/235, 8633/4123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6261/235, 8633/4123 i.e 1/968905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6261/235, 8633/4123.
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 6261/235,8633/4123?
Given fractions are 6261/235,8633/4123
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 6261/235,8633/4123, numerators are 6261,8633
Denominators are 235,4123
The GCF of 6261,8633 is 1 .
LCM of 235,4123 is 968905.
The greatest common factor of 6261/235,8633/4123 = [GCF of 6261,8633]/[LCM of 235,4123]= 1/968905
Therefore, the GCF of 6261/235,8633/4123 is 1/968905.
To find the highest common factor of 6261,8633, we have to find the factors of both numbers and list the highest common factor.
The factors of 6261 are 1, 3, 2087, 6261
The factors of 8633 are 1, 89, 97, 8633
The HCF of 6261,8633 is 1.
Lets's calculate GCF of 6261,8633
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6261,8633 By Matching Biggest Common Factor Method
Now, list down the factors of 6261
:1,3,2087,6261
Now, list down the factors of 8633
:1,89,97,8633
Greatest Common Factor
We found the factors 6261,8633 . The biggest common factor number is the GCF number.
So the greatest common factor 6261,8633 is 1.
Lets's calculate LCM of 235,4123
Given numbers has no common factors except 1. So, there LCM is their product i.e 968905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/968905
Therefore, the GCF of Fractions 6261/235,8633/4123 is 1/968905
Least Common Multiple of 235,4123 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 235,4123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,4123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,4123) x common factors =1 x 1 = 1
LCM(235,4123) = ( 235 × 4123 ) / 1
LCM(235,4123) = 968905 / 1
LCM(235,4123) = 968905
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FAQs on GCF of Fractions of 6261/235, 8633/4123
1. What is the HCF of 6261,8633?
The HCF of 6261,8633 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 6261/235, 8633/4123?
Answer: GCF of Numerators as per given numbers 6261/235, 8633/4123 is
GCF of Numerators i.e. for 6261,8633 is 1
LCM of denominators i.e. for 235,4123 is 968905.
Thus, GCF of Fractions is 1/968905.Finally, GCF of Fractions for 6261/235, 8633/4123 is 1/968905.