GCF of 621/232, 7450/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 621/232, 7450/241 i.e 1/55912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 621/232, 7450/241.
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 621/232,7450/241?
Given fractions are 621/232,7450/241
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 621/232,7450/241, numerators are 621,7450
Denominators are 232,241
The GCF of 621,7450 is 1 .
LCM of 232,241 is 55912.
The greatest common factor of 621/232,7450/241 = [GCF of 621,7450]/[LCM of 232,241]= 1/55912
Therefore, the GCF of 621/232,7450/241 is 1/55912.
To find the highest common factor of 621,7450, we have to find the factors of both numbers and list the highest common factor.
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The factors of 7450 are 1, 2, 5, 10, 25, 50, 149, 298, 745, 1490, 3725, 7450
The HCF of 621,7450 is 1.
Lets's calculate GCF of 621,7450
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 621,7450 By Matching Biggest Common Factor Method
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Now, list down the factors of 7450
:1,2,5,10,25,50,149,298,745,1490,3725,7450
Greatest Common Factor
We found the factors 621,7450 . The biggest common factor number is the GCF number.
So the greatest common factor 621,7450 is 1.
Lets's calculate LCM of 232,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 55912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55912
Therefore, the GCF of Fractions 621/232,7450/241 is 1/55912
Least Common Multiple of 232,241 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 232,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,241) x common factors =1 x 1 = 1
LCM(232,241) = ( 232 × 241 ) / 1
LCM(232,241) = 55912 / 1
LCM(232,241) = 55912
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FAQs on GCF of Fractions of 621/232, 7450/241
1. What is the HCF of 621,7450?
The HCF of 621,7450 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 621/232, 7450/241?
Answer: GCF of Numerators as per given numbers 621/232, 7450/241 is
GCF of Numerators i.e. for 621,7450 is 1
LCM of denominators i.e. for 232,241 is 55912.
Thus, GCF of Fractions is 1/55912.Finally, GCF of Fractions for 621/232, 7450/241 is 1/55912.