GCF of 442/422, 3138/5642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 442/422, 3138/5642 i.e 2/1190462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/422, 3138/5642.
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 442/422,3138/5642?
Given fractions are 442/422,3138/5642
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 442/422,3138/5642, numerators are 442,3138
Denominators are 422,5642
The GCF of 442,3138 is 2 .
LCM of 422,5642 is 1190462.
The greatest common factor of 442/422,3138/5642 = [GCF of 442,3138]/[LCM of 422,5642]= 2/1190462
Therefore, the GCF of 442/422,3138/5642 is 2/1190462.
To find the highest common factor of 442,3138, we have to find the factors of both numbers and list the highest common factor.
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The factors of 3138 are 1, 2, 3, 6, 523, 1046, 1569, 3138
The HCF of 442,3138 is 2.
Lets's calculate GCF of 442,3138
| 2 | 442, 3138 |
| 221, 1569 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 442,3138 By Matching Biggest Common Factor Method
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Now, list down the factors of 3138
:1,2,3,6,523,1046,1569,3138
Greatest Common Factor
We found the factors 442,3138 . The biggest common factor number is the GCF number.
So the greatest common factor 442,3138 is 2.
Lets's calculate LCM of 422,5642
| 2 | 422, 5642 |
| 211, 2821 |
∴ So the LCM of the given numbers is 2 x 211 x 2821 = 1190462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1190462
Therefore, the GCF of Fractions 442/422,3138/5642 is 2/1190462
Least Common Multiple of 422,5642 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 422,5642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,5642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,5642) x common factors =2 x 1 = 2
LCM(422,5642) = ( 422 × 5642 ) / 2
LCM(422,5642) = 2380924 / 2
LCM(422,5642) = 1190462
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FAQs on GCF of Fractions of 442/422, 3138/5642
1. What is the HCF of 442,3138?
The HCF of 442,3138 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 442/422, 3138/5642?
Answer: GCF of Numerators as per given numbers 442/422, 3138/5642 is
GCF of Numerators i.e. for 442,3138 is 2
LCM of denominators i.e. for 422,5642 is 1190462.
Thus, GCF of Fractions is 2/1190462.Finally, GCF of Fractions for 442/422, 3138/5642 is 2/1190462.