GCF of 7226/422, 5142/2552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7226/422, 5142/2552 i.e 2/538472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7226/422, 5142/2552.
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 7226/422,5142/2552?
Given fractions are 7226/422,5142/2552
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 7226/422,5142/2552, numerators are 7226,5142
Denominators are 422,2552
The GCF of 7226,5142 is 2 .
LCM of 422,2552 is 538472.
The greatest common factor of 7226/422,5142/2552 = [GCF of 7226,5142]/[LCM of 422,2552]= 2/538472
Therefore, the GCF of 7226/422,5142/2552 is 2/538472.
To find the highest common factor of 7226,5142, we have to find the factors of both numbers and list the highest common factor.
The factors of 7226 are 1, 2, 3613, 7226
The factors of 5142 are 1, 2, 3, 6, 857, 1714, 2571, 5142
The HCF of 7226,5142 is 2.
Lets's calculate GCF of 7226,5142
| 2 | 7226, 5142 |
| 3613, 2571 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7226,5142 By Matching Biggest Common Factor Method
Now, list down the factors of 7226
:1,2,3613,7226
Now, list down the factors of 5142
:1,2,3,6,857,1714,2571,5142
Greatest Common Factor
We found the factors 7226,5142 . The biggest common factor number is the GCF number.
So the greatest common factor 7226,5142 is 2.
Lets's calculate LCM of 422,2552
| 2 | 422, 2552 |
| 211, 1276 |
∴ So the LCM of the given numbers is 2 x 211 x 1276 = 538472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/538472
Therefore, the GCF of Fractions 7226/422,5142/2552 is 2/538472
Least Common Multiple of 422,2552 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 422,2552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,2552) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,2552) x common factors =2 x 1 = 2
LCM(422,2552) = ( 422 × 2552 ) / 2
LCM(422,2552) = 1076944 / 2
LCM(422,2552) = 538472
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FAQs on GCF of Fractions of 7226/422, 5142/2552
1. What is the HCF of 7226,5142?
The HCF of 7226,5142 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 7226/422, 5142/2552?
Answer: GCF of Numerators as per given numbers 7226/422, 5142/2552 is
GCF of Numerators i.e. for 7226,5142 is 2
LCM of denominators i.e. for 422,2552 is 538472.
Thus, GCF of Fractions is 2/538472.Finally, GCF of Fractions for 7226/422, 5142/2552 is 2/538472.