GCF of 7126/446, 9142/3113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7126/446, 9142/3113 i.e 14/1388398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7126/446, 9142/3113.
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 7126/446,9142/3113?
Given fractions are 7126/446,9142/3113
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 7126/446,9142/3113, numerators are 7126,9142
Denominators are 446,3113
The GCF of 7126,9142 is 14 .
LCM of 446,3113 is 1388398.
The greatest common factor of 7126/446,9142/3113 = [GCF of 7126,9142]/[LCM of 446,3113]= 14/1388398
Therefore, the GCF of 7126/446,9142/3113 is 14/1388398.
To find the highest common factor of 7126,9142, we have to find the factors of both numbers and list the highest common factor.
The factors of 7126 are 1, 2, 7, 14, 509, 1018, 3563, 7126
The factors of 9142 are 1, 2, 7, 14, 653, 1306, 4571, 9142
The HCF of 7126,9142 is 14.
Lets's calculate GCF of 7126,9142
| 2 | 7126, 9142 |
| 7 | 3563, 4571 |
| 509, 653 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7126,9142 By Matching Biggest Common Factor Method
Now, list down the factors of 7126
:1,2,7,14,509,1018,3563,7126
Now, list down the factors of 9142
:1,2,7,14,653,1306,4571,9142
Greatest Common Factor
We found the factors 7126,9142 . The biggest common factor number is the GCF number.
So the greatest common factor 7126,9142 is 14.
Lets's calculate LCM of 446,3113
Given numbers has no common factors except 1. So, there LCM is their product i.e 1388398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1388398
Therefore, the GCF of Fractions 7126/446,9142/3113 is 14/1388398
Least Common Multiple of 446,3113 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 446,3113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,3113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,3113) x common factors =1 x 1 = 1
LCM(446,3113) = ( 446 × 3113 ) / 1
LCM(446,3113) = 1388398 / 1
LCM(446,3113) = 1388398
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FAQs on GCF of Fractions of 7126/446, 9142/3113
1. What is the HCF of 7126,9142?
The HCF of 7126,9142 is 14
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 7126/446, 9142/3113?
Answer: GCF of Numerators as per given numbers 7126/446, 9142/3113 is
GCF of Numerators i.e. for 7126,9142 is 14
LCM of denominators i.e. for 446,3113 is 1388398.
Thus, GCF of Fractions is 14/1388398.Finally, GCF of Fractions for 7126/446, 9142/3113 is 14/1388398.