GCF of 2212/231, 7422/359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2212/231, 7422/359 i.e 2/82929 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2212/231, 7422/359.
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 2212/231,7422/359?
Given fractions are 2212/231,7422/359
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 2212/231,7422/359, numerators are 2212,7422
Denominators are 231,359
The GCF of 2212,7422 is 2 .
LCM of 231,359 is 82929.
The greatest common factor of 2212/231,7422/359 = [GCF of 2212,7422]/[LCM of 231,359]= 2/82929
Therefore, the GCF of 2212/231,7422/359 is 2/82929.
To find the highest common factor of 2212,7422, we have to find the factors of both numbers and list the highest common factor.
The factors of 2212 are 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106, 2212
The factors of 7422 are 1, 2, 3, 6, 1237, 2474, 3711, 7422
The HCF of 2212,7422 is 2.
Lets's calculate GCF of 2212,7422
| 2 | 2212, 7422 |
| 1106, 3711 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2212,7422 By Matching Biggest Common Factor Method
Now, list down the factors of 2212
:1,2,4,7,14,28,79,158,316,553,1106,2212
Now, list down the factors of 7422
:1,2,3,6,1237,2474,3711,7422
Greatest Common Factor
We found the factors 2212,7422 . The biggest common factor number is the GCF number.
So the greatest common factor 2212,7422 is 2.
Lets's calculate LCM of 231,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 82929
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/82929
Therefore, the GCF of Fractions 2212/231,7422/359 is 2/82929
Least Common Multiple of 231,359 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 231,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,359) x common factors =1 x 1 = 1
LCM(231,359) = ( 231 × 359 ) / 1
LCM(231,359) = 82929 / 1
LCM(231,359) = 82929
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FAQs on GCF of Fractions of 2212/231, 7422/359
1. What is the HCF of 2212,7422?
The HCF of 2212,7422 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 2212/231, 7422/359?
Answer: GCF of Numerators as per given numbers 2212/231, 7422/359 is
GCF of Numerators i.e. for 2212,7422 is 2
LCM of denominators i.e. for 231,359 is 82929.
Thus, GCF of Fractions is 2/82929.Finally, GCF of Fractions for 2212/231, 7422/359 is 2/82929.