GCF of 9334/334, 8974/872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9334/334, 8974/872 i.e 2/145624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9334/334, 8974/872.
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 9334/334,8974/872?
Given fractions are 9334/334,8974/872
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 9334/334,8974/872, numerators are 9334,8974
Denominators are 334,872
The GCF of 9334,8974 is 2 .
LCM of 334,872 is 145624.
The greatest common factor of 9334/334,8974/872 = [GCF of 9334,8974]/[LCM of 334,872]= 2/145624
Therefore, the GCF of 9334/334,8974/872 is 2/145624.
To find the highest common factor of 9334,8974, we have to find the factors of both numbers and list the highest common factor.
The factors of 9334 are 1, 2, 13, 26, 359, 718, 4667, 9334
The factors of 8974 are 1, 2, 7, 14, 641, 1282, 4487, 8974
The HCF of 9334,8974 is 2.
Lets's calculate GCF of 9334,8974
| 2 | 9334, 8974 |
| 4667, 4487 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9334,8974 By Matching Biggest Common Factor Method
Now, list down the factors of 9334
:1,2,13,26,359,718,4667,9334
Now, list down the factors of 8974
:1,2,7,14,641,1282,4487,8974
Greatest Common Factor
We found the factors 9334,8974 . The biggest common factor number is the GCF number.
So the greatest common factor 9334,8974 is 2.
Lets's calculate LCM of 334,872
| 2 | 334, 872 |
| 167, 436 |
∴ So the LCM of the given numbers is 2 x 167 x 436 = 145624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/145624
Therefore, the GCF of Fractions 9334/334,8974/872 is 2/145624
Least Common Multiple of 334,872 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 334,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,872) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,872) x common factors =2 x 1 = 2
LCM(334,872) = ( 334 × 872 ) / 2
LCM(334,872) = 291248 / 2
LCM(334,872) = 145624
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FAQs on GCF of Fractions of 9334/334, 8974/872
1. What is the HCF of 9334,8974?
The HCF of 9334,8974 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 9334/334, 8974/872?
Answer: GCF of Numerators as per given numbers 9334/334, 8974/872 is
GCF of Numerators i.e. for 9334,8974 is 2
LCM of denominators i.e. for 334,872 is 145624.
Thus, GCF of Fractions is 2/145624.Finally, GCF of Fractions for 9334/334, 8974/872 is 2/145624.