GCF of 9001/314, 2892/1068
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9001/314, 2892/1068 i.e 1/167676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9001/314, 2892/1068.
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 9001/314,2892/1068?
Given fractions are 9001/314,2892/1068
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 9001/314,2892/1068, numerators are 9001,2892
Denominators are 314,1068
The GCF of 9001,2892 is 1 .
LCM of 314,1068 is 167676.
The greatest common factor of 9001/314,2892/1068 = [GCF of 9001,2892]/[LCM of 314,1068]= 1/167676
Therefore, the GCF of 9001/314,2892/1068 is 1/167676.
To find the highest common factor of 9001,2892, we have to find the factors of both numbers and list the highest common factor.
The factors of 9001 are 1, 9001
The factors of 2892 are 1, 2, 3, 4, 6, 12, 241, 482, 723, 964, 1446, 2892
The HCF of 9001,2892 is 1.
Lets's calculate GCF of 9001,2892
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9001,2892 By Matching Biggest Common Factor Method
Now, list down the factors of 9001
:1,9001
Now, list down the factors of 2892
:1,2,3,4,6,12,241,482,723,964,1446,2892
Greatest Common Factor
We found the factors 9001,2892 . The biggest common factor number is the GCF number.
So the greatest common factor 9001,2892 is 1.
Lets's calculate LCM of 314,1068
| 2 | 314, 1068 |
| 157, 534 |
∴ So the LCM of the given numbers is 2 x 157 x 534 = 167676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167676
Therefore, the GCF of Fractions 9001/314,2892/1068 is 1/167676
Least Common Multiple of 314,1068 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 314,1068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,1068) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,1068) x common factors =2 x 1 = 2
LCM(314,1068) = ( 314 × 1068 ) / 2
LCM(314,1068) = 335352 / 2
LCM(314,1068) = 167676
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FAQs on GCF of Fractions of 9001/314, 2892/1068
1. What is the HCF of 9001,2892?
The HCF of 9001,2892 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 9001/314, 2892/1068?
Answer: GCF of Numerators as per given numbers 9001/314, 2892/1068 is
GCF of Numerators i.e. for 9001,2892 is 1
LCM of denominators i.e. for 314,1068 is 167676.
Thus, GCF of Fractions is 1/167676.Finally, GCF of Fractions for 9001/314, 2892/1068 is 1/167676.