GCF of 2421/633, 7241/7656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2421/633, 7241/7656 i.e 1/1615416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2421/633, 7241/7656.
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 2421/633,7241/7656?
Given fractions are 2421/633,7241/7656
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 2421/633,7241/7656, numerators are 2421,7241
Denominators are 633,7656
The GCF of 2421,7241 is 1 .
LCM of 633,7656 is 1615416.
The greatest common factor of 2421/633,7241/7656 = [GCF of 2421,7241]/[LCM of 633,7656]= 1/1615416
Therefore, the GCF of 2421/633,7241/7656 is 1/1615416.
To find the highest common factor of 2421,7241, we have to find the factors of both numbers and list the highest common factor.
The factors of 2421 are 1, 3, 9, 269, 807, 2421
The factors of 7241 are 1, 13, 557, 7241
The HCF of 2421,7241 is 1.
Lets's calculate GCF of 2421,7241
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2421,7241 By Matching Biggest Common Factor Method
Now, list down the factors of 2421
:1,3,9,269,807,2421
Now, list down the factors of 7241
:1,13,557,7241
Greatest Common Factor
We found the factors 2421,7241 . The biggest common factor number is the GCF number.
So the greatest common factor 2421,7241 is 1.
Lets's calculate LCM of 633,7656
| 3 | 633, 7656 |
| 211, 2552 |
∴ So the LCM of the given numbers is 3 x 211 x 2552 = 1615416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1615416
Therefore, the GCF of Fractions 2421/633,7241/7656 is 1/1615416
Least Common Multiple of 633,7656 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 633,7656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,7656) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(633,7656) x common factors =3 x 1 = 3
LCM(633,7656) = ( 633 × 7656 ) / 3
LCM(633,7656) = 4846248 / 3
LCM(633,7656) = 1615416
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FAQs on GCF of Fractions of 2421/633, 7241/7656
1. What is the HCF of 2421,7241?
The HCF of 2421,7241 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 2421/633, 7241/7656?
Answer: GCF of Numerators as per given numbers 2421/633, 7241/7656 is
GCF of Numerators i.e. for 2421,7241 is 1
LCM of denominators i.e. for 633,7656 is 1615416.
Thus, GCF of Fractions is 1/1615416.Finally, GCF of Fractions for 2421/633, 7241/7656 is 1/1615416.