GCF of 9274/335, 3484/7892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9274/335, 3484/7892 i.e 2/2643820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9274/335, 3484/7892.
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 9274/335,3484/7892?
Given fractions are 9274/335,3484/7892
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 9274/335,3484/7892, numerators are 9274,3484
Denominators are 335,7892
The GCF of 9274,3484 is 2 .
LCM of 335,7892 is 2643820.
The greatest common factor of 9274/335,3484/7892 = [GCF of 9274,3484]/[LCM of 335,7892]= 2/2643820
Therefore, the GCF of 9274/335,3484/7892 is 2/2643820.
To find the highest common factor of 9274,3484, we have to find the factors of both numbers and list the highest common factor.
The factors of 9274 are 1, 2, 4637, 9274
The factors of 3484 are 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484
The HCF of 9274,3484 is 2.
Lets's calculate GCF of 9274,3484
| 2 | 9274, 3484 |
| 4637, 1742 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9274,3484 By Matching Biggest Common Factor Method
Now, list down the factors of 9274
:1,2,4637,9274
Now, list down the factors of 3484
:1,2,4,13,26,52,67,134,268,871,1742,3484
Greatest Common Factor
We found the factors 9274,3484 . The biggest common factor number is the GCF number.
So the greatest common factor 9274,3484 is 2.
Lets's calculate LCM of 335,7892
Given numbers has no common factors except 1. So, there LCM is their product i.e 2643820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2643820
Therefore, the GCF of Fractions 9274/335,3484/7892 is 2/2643820
Least Common Multiple of 335,7892 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 335,7892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,7892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,7892) x common factors =1 x 1 = 1
LCM(335,7892) = ( 335 × 7892 ) / 1
LCM(335,7892) = 2643820 / 1
LCM(335,7892) = 2643820
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FAQs on GCF of Fractions of 9274/335, 3484/7892
1. What is the HCF of 9274,3484?
The HCF of 9274,3484 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 9274/335, 3484/7892?
Answer: GCF of Numerators as per given numbers 9274/335, 3484/7892 is
GCF of Numerators i.e. for 9274,3484 is 2
LCM of denominators i.e. for 335,7892 is 2643820.
Thus, GCF of Fractions is 2/2643820.Finally, GCF of Fractions for 9274/335, 3484/7892 is 2/2643820.