GCF of 9406/226, 7046/4534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9406/226, 7046/4534 i.e 2/512342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9406/226, 7046/4534.
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 9406/226,7046/4534?
Given fractions are 9406/226,7046/4534
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 9406/226,7046/4534, numerators are 9406,7046
Denominators are 226,4534
The GCF of 9406,7046 is 2 .
LCM of 226,4534 is 512342.
The greatest common factor of 9406/226,7046/4534 = [GCF of 9406,7046]/[LCM of 226,4534]= 2/512342
Therefore, the GCF of 9406/226,7046/4534 is 2/512342.
To find the highest common factor of 9406,7046, we have to find the factors of both numbers and list the highest common factor.
The factors of 9406 are 1, 2, 4703, 9406
The factors of 7046 are 1, 2, 13, 26, 271, 542, 3523, 7046
The HCF of 9406,7046 is 2.
Lets's calculate GCF of 9406,7046
| 2 | 9406, 7046 |
| 4703, 3523 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9406,7046 By Matching Biggest Common Factor Method
Now, list down the factors of 9406
:1,2,4703,9406
Now, list down the factors of 7046
:1,2,13,26,271,542,3523,7046
Greatest Common Factor
We found the factors 9406,7046 . The biggest common factor number is the GCF number.
So the greatest common factor 9406,7046 is 2.
Lets's calculate LCM of 226,4534
| 2 | 226, 4534 |
| 113, 2267 |
∴ So the LCM of the given numbers is 2 x 113 x 2267 = 512342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/512342
Therefore, the GCF of Fractions 9406/226,7046/4534 is 2/512342
Least Common Multiple of 226,4534 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 226,4534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,4534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,4534) x common factors =2 x 1 = 2
LCM(226,4534) = ( 226 × 4534 ) / 2
LCM(226,4534) = 1024684 / 2
LCM(226,4534) = 512342
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FAQs on GCF of Fractions of 9406/226, 7046/4534
1. What is the HCF of 9406,7046?
The HCF of 9406,7046 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 9406/226, 7046/4534?
Answer: GCF of Numerators as per given numbers 9406/226, 7046/4534 is
GCF of Numerators i.e. for 9406,7046 is 2
LCM of denominators i.e. for 226,4534 is 512342.
Thus, GCF of Fractions is 2/512342.Finally, GCF of Fractions for 9406/226, 7046/4534 is 2/512342.