GCF of 2894/500, 9207/4026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2894/500, 9207/4026 i.e 1/1006500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2894/500, 9207/4026.
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 2894/500,9207/4026?
Given fractions are 2894/500,9207/4026
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 2894/500,9207/4026, numerators are 2894,9207
Denominators are 500,4026
The GCF of 2894,9207 is 1 .
LCM of 500,4026 is 1006500.
The greatest common factor of 2894/500,9207/4026 = [GCF of 2894,9207]/[LCM of 500,4026]= 1/1006500
Therefore, the GCF of 2894/500,9207/4026 is 1/1006500.
To find the highest common factor of 2894,9207, we have to find the factors of both numbers and list the highest common factor.
The factors of 2894 are 1, 2, 1447, 2894
The factors of 9207 are 1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069, 9207
The HCF of 2894,9207 is 1.
Lets's calculate GCF of 2894,9207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2894,9207 By Matching Biggest Common Factor Method
Now, list down the factors of 2894
:1,2,1447,2894
Now, list down the factors of 9207
:1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207
Greatest Common Factor
We found the factors 2894,9207 . The biggest common factor number is the GCF number.
So the greatest common factor 2894,9207 is 1.
Lets's calculate LCM of 500,4026
| 2 | 500, 4026 |
| 250, 2013 |
∴ So the LCM of the given numbers is 2 x 250 x 2013 = 1006500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1006500
Therefore, the GCF of Fractions 2894/500,9207/4026 is 1/1006500
Least Common Multiple of 500,4026 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 500,4026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,4026) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(500,4026) x common factors =2 x 1 = 2
LCM(500,4026) = ( 500 × 4026 ) / 2
LCM(500,4026) = 2013000 / 2
LCM(500,4026) = 1006500
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FAQs on GCF of Fractions of 2894/500, 9207/4026
1. What is the HCF of 2894,9207?
The HCF of 2894,9207 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 2894/500, 9207/4026?
Answer: GCF of Numerators as per given numbers 2894/500, 9207/4026 is
GCF of Numerators i.e. for 2894,9207 is 1
LCM of denominators i.e. for 500,4026 is 1006500.
Thus, GCF of Fractions is 1/1006500.Finally, GCF of Fractions for 2894/500, 9207/4026 is 1/1006500.