GCF of 4232/822, 7422/4040
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4232/822, 7422/4040 i.e 2/1660440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4232/822, 7422/4040.
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 4232/822,7422/4040?
Given fractions are 4232/822,7422/4040
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 4232/822,7422/4040, numerators are 4232,7422
Denominators are 822,4040
The GCF of 4232,7422 is 2 .
LCM of 822,4040 is 1660440.
The greatest common factor of 4232/822,7422/4040 = [GCF of 4232,7422]/[LCM of 822,4040]= 2/1660440
Therefore, the GCF of 4232/822,7422/4040 is 2/1660440.
To find the highest common factor of 4232,7422, we have to find the factors of both numbers and list the highest common factor.
The factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232
The factors of 7422 are 1, 2, 3, 6, 1237, 2474, 3711, 7422
The HCF of 4232,7422 is 2.
Lets's calculate GCF of 4232,7422
| 2 | 4232, 7422 |
| 2116, 3711 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4232,7422 By Matching Biggest Common Factor Method
Now, list down the factors of 4232
:1,2,4,8,23,46,92,184,529,1058,2116,4232
Now, list down the factors of 7422
:1,2,3,6,1237,2474,3711,7422
Greatest Common Factor
We found the factors 4232,7422 . The biggest common factor number is the GCF number.
So the greatest common factor 4232,7422 is 2.
Lets's calculate LCM of 822,4040
| 2 | 822, 4040 |
| 411, 2020 |
∴ So the LCM of the given numbers is 2 x 411 x 2020 = 1660440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1660440
Therefore, the GCF of Fractions 4232/822,7422/4040 is 2/1660440
Least Common Multiple of 822,4040 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 822,4040 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,4040) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,4040) x common factors =2 x 1 = 2
LCM(822,4040) = ( 822 × 4040 ) / 2
LCM(822,4040) = 3320880 / 2
LCM(822,4040) = 1660440
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FAQs on GCF of Fractions of 4232/822, 7422/4040
1. What is the HCF of 4232,7422?
The HCF of 4232,7422 is 2
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 4232/822, 7422/4040?
Answer: GCF of Numerators as per given numbers 4232/822, 7422/4040 is
GCF of Numerators i.e. for 4232,7422 is 2
LCM of denominators i.e. for 822,4040 is 1660440.
Thus, GCF of Fractions is 2/1660440.Finally, GCF of Fractions for 4232/822, 7422/4040 is 2/1660440.