GCF of 4586/913, 3924/3177
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4586/913, 3924/3177 i.e 2/2900601 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4586/913, 3924/3177.
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 4586/913,3924/3177?
Given fractions are 4586/913,3924/3177
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 4586/913,3924/3177, numerators are 4586,3924
Denominators are 913,3177
The GCF of 4586,3924 is 2 .
LCM of 913,3177 is 2900601.
The greatest common factor of 4586/913,3924/3177 = [GCF of 4586,3924]/[LCM of 913,3177]= 2/2900601
Therefore, the GCF of 4586/913,3924/3177 is 2/2900601.
To find the highest common factor of 4586,3924, we have to find the factors of both numbers and list the highest common factor.
The factors of 4586 are 1, 2, 2293, 4586
The factors of 3924 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962, 3924
The HCF of 4586,3924 is 2.
Lets's calculate GCF of 4586,3924
| 2 | 4586, 3924 |
| 2293, 1962 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4586,3924 By Matching Biggest Common Factor Method
Now, list down the factors of 4586
:1,2,2293,4586
Now, list down the factors of 3924
:1,2,3,4,6,9,12,18,36,109,218,327,436,654,981,1308,1962,3924
Greatest Common Factor
We found the factors 4586,3924 . The biggest common factor number is the GCF number.
So the greatest common factor 4586,3924 is 2.
Lets's calculate LCM of 913,3177
Given numbers has no common factors except 1. So, there LCM is their product i.e 2900601
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2900601
Therefore, the GCF of Fractions 4586/913,3924/3177 is 2/2900601
Least Common Multiple of 913,3177 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 913,3177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,3177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,3177) x common factors =1 x 1 = 1
LCM(913,3177) = ( 913 × 3177 ) / 1
LCM(913,3177) = 2900601 / 1
LCM(913,3177) = 2900601
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FAQs on GCF of Fractions of 4586/913, 3924/3177
1. What is the HCF of 4586,3924?
The HCF of 4586,3924 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 4586/913, 3924/3177?
Answer: GCF of Numerators as per given numbers 4586/913, 3924/3177 is
GCF of Numerators i.e. for 4586,3924 is 2
LCM of denominators i.e. for 913,3177 is 2900601.
Thus, GCF of Fractions is 2/2900601.Finally, GCF of Fractions for 4586/913, 3924/3177 is 2/2900601.