GCF of 9434/286, 7425/364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9434/286, 7425/364 i.e 1/4004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9434/286, 7425/364.
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 9434/286,7425/364?
Given fractions are 9434/286,7425/364
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 9434/286,7425/364, numerators are 9434,7425
Denominators are 286,364
The GCF of 9434,7425 is 1 .
LCM of 286,364 is 4004.
The greatest common factor of 9434/286,7425/364 = [GCF of 9434,7425]/[LCM of 286,364]= 1/4004
Therefore, the GCF of 9434/286,7425/364 is 1/4004.
To find the highest common factor of 9434,7425, we have to find the factors of both numbers and list the highest common factor.
The factors of 9434 are 1, 2, 53, 89, 106, 178, 4717, 9434
The factors of 7425 are 1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425
The HCF of 9434,7425 is 1.
Lets's calculate GCF of 9434,7425
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9434,7425 By Matching Biggest Common Factor Method
Now, list down the factors of 9434
:1,2,53,89,106,178,4717,9434
Now, list down the factors of 7425
:1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425
Greatest Common Factor
We found the factors 9434,7425 . The biggest common factor number is the GCF number.
So the greatest common factor 9434,7425 is 1.
Lets's calculate LCM of 286,364
| 2 | 286, 364 |
| 13 | 143, 182 |
| 11, 14 |
∴ So the LCM of the given numbers is 2 x 13 x 11 x 14 = 4004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4004
Therefore, the GCF of Fractions 9434/286,7425/364 is 1/4004
Least Common Multiple of 286,364 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 286,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,364) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(286,364) x common factors =26 x 1 = 26
LCM(286,364) = ( 286 × 364 ) / 26
LCM(286,364) = 104104 / 26
LCM(286,364) = 4004
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FAQs on GCF of Fractions of 9434/286, 7425/364
1. What is the HCF of 9434,7425?
The HCF of 9434,7425 is 1
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 9434/286, 7425/364?
Answer: GCF of Numerators as per given numbers 9434/286, 7425/364 is
GCF of Numerators i.e. for 9434,7425 is 1
LCM of denominators i.e. for 286,364 is 4004.
Thus, GCF of Fractions is 1/4004.Finally, GCF of Fractions for 9434/286, 7425/364 is 1/4004.