GCF of 2594/315, 9006/5712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2594/315, 9006/5712 i.e 2/85680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2594/315, 9006/5712.
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 2594/315,9006/5712?
Given fractions are 2594/315,9006/5712
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 2594/315,9006/5712, numerators are 2594,9006
Denominators are 315,5712
The GCF of 2594,9006 is 2 .
LCM of 315,5712 is 85680.
The greatest common factor of 2594/315,9006/5712 = [GCF of 2594,9006]/[LCM of 315,5712]= 2/85680
Therefore, the GCF of 2594/315,9006/5712 is 2/85680.
To find the highest common factor of 2594,9006, we have to find the factors of both numbers and list the highest common factor.
The factors of 2594 are 1, 2, 1297, 2594
The factors of 9006 are 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006
The HCF of 2594,9006 is 2.
Lets's calculate GCF of 2594,9006
| 2 | 2594, 9006 |
| 1297, 4503 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2594,9006 By Matching Biggest Common Factor Method
Now, list down the factors of 2594
:1,2,1297,2594
Now, list down the factors of 9006
:1,2,3,6,19,38,57,79,114,158,237,474,1501,3002,4503,9006
Greatest Common Factor
We found the factors 2594,9006 . The biggest common factor number is the GCF number.
So the greatest common factor 2594,9006 is 2.
Lets's calculate LCM of 315,5712
| 3 | 315, 5712 |
| 7 | 105, 1904 |
| 15, 272 |
∴ So the LCM of the given numbers is 3 x 7 x 15 x 272 = 85680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85680
Therefore, the GCF of Fractions 2594/315,9006/5712 is 2/85680
Least Common Multiple of 315,5712 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 315,5712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,5712) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(315,5712) x common factors =21 x 1 = 21
LCM(315,5712) = ( 315 × 5712 ) / 21
LCM(315,5712) = 1799280 / 21
LCM(315,5712) = 85680
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FAQs on GCF of Fractions of 2594/315, 9006/5712
1. What is the HCF of 2594,9006?
The HCF of 2594,9006 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 2594/315, 9006/5712?
Answer: GCF of Numerators as per given numbers 2594/315, 9006/5712 is
GCF of Numerators i.e. for 2594,9006 is 2
LCM of denominators i.e. for 315,5712 is 85680.
Thus, GCF of Fractions is 2/85680.Finally, GCF of Fractions for 2594/315, 9006/5712 is 2/85680.