GCF of 2893/183, 6157/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2893/183, 6157/825 i.e 1/50325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2893/183, 6157/825.
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 2893/183,6157/825?
Given fractions are 2893/183,6157/825
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 2893/183,6157/825, numerators are 2893,6157
Denominators are 183,825
The GCF of 2893,6157 is 1 .
LCM of 183,825 is 50325.
The greatest common factor of 2893/183,6157/825 = [GCF of 2893,6157]/[LCM of 183,825]= 1/50325
Therefore, the GCF of 2893/183,6157/825 is 1/50325.
To find the highest common factor of 2893,6157, we have to find the factors of both numbers and list the highest common factor.
The factors of 2893 are 1, 11, 263, 2893
The factors of 6157 are 1, 47, 131, 6157
The HCF of 2893,6157 is 1.
Lets's calculate GCF of 2893,6157
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2893,6157 By Matching Biggest Common Factor Method
Now, list down the factors of 2893
:1,11,263,2893
Now, list down the factors of 6157
:1,47,131,6157
Greatest Common Factor
We found the factors 2893,6157 . The biggest common factor number is the GCF number.
So the greatest common factor 2893,6157 is 1.
Lets's calculate LCM of 183,825
| 3 | 183, 825 |
| 61, 275 |
∴ So the LCM of the given numbers is 3 x 61 x 275 = 50325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50325
Therefore, the GCF of Fractions 2893/183,6157/825 is 1/50325
Least Common Multiple of 183,825 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 183,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,825) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(183,825) x common factors =3 x 1 = 3
LCM(183,825) = ( 183 × 825 ) / 3
LCM(183,825) = 150975 / 3
LCM(183,825) = 50325
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FAQs on GCF of Fractions of 2893/183, 6157/825
1. What is the HCF of 2893,6157?
The HCF of 2893,6157 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 2893/183, 6157/825?
Answer: GCF of Numerators as per given numbers 2893/183, 6157/825 is
GCF of Numerators i.e. for 2893,6157 is 1
LCM of denominators i.e. for 183,825 is 50325.
Thus, GCF of Fractions is 1/50325.Finally, GCF of Fractions for 2893/183, 6157/825 is 1/50325.