GCF of 3590/839, 1160/6177
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3590/839, 1160/6177 i.e 10/5182503 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3590/839, 1160/6177.
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 3590/839,1160/6177?
Given fractions are 3590/839,1160/6177
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 3590/839,1160/6177, numerators are 3590,1160
Denominators are 839,6177
The GCF of 3590,1160 is 10 .
LCM of 839,6177 is 5182503.
The greatest common factor of 3590/839,1160/6177 = [GCF of 3590,1160]/[LCM of 839,6177]= 10/5182503
Therefore, the GCF of 3590/839,1160/6177 is 10/5182503.
To find the highest common factor of 3590,1160, we have to find the factors of both numbers and list the highest common factor.
The factors of 3590 are 1, 2, 5, 10, 359, 718, 1795, 3590
The factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160
The HCF of 3590,1160 is 10.
Lets's calculate GCF of 3590,1160
| 2 | 3590, 1160 |
| 5 | 1795, 580 |
| 359, 116 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3590,1160 By Matching Biggest Common Factor Method
Now, list down the factors of 3590
:1,2,5,10,359,718,1795,3590
Now, list down the factors of 1160
:1,2,4,5,8,10,20,29,40,58,116,145,232,290,580,1160
Greatest Common Factor
We found the factors 3590,1160 . The biggest common factor number is the GCF number.
So the greatest common factor 3590,1160 is 10.
Lets's calculate LCM of 839,6177
Given numbers has no common factors except 1. So, there LCM is their product i.e 5182503
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/5182503
Therefore, the GCF of Fractions 3590/839,1160/6177 is 10/5182503
Least Common Multiple of 839,6177 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 839,6177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,6177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,6177) x common factors =1 x 1 = 1
LCM(839,6177) = ( 839 × 6177 ) / 1
LCM(839,6177) = 5182503 / 1
LCM(839,6177) = 5182503
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FAQs on GCF of Fractions of 3590/839, 1160/6177
1. What is the HCF of 3590,1160?
The HCF of 3590,1160 is 10
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 3590/839, 1160/6177?
Answer: GCF of Numerators as per given numbers 3590/839, 1160/6177 is
GCF of Numerators i.e. for 3590,1160 is 10
LCM of denominators i.e. for 839,6177 is 5182503.
Thus, GCF of Fractions is 10/5182503.Finally, GCF of Fractions for 3590/839, 1160/6177 is 10/5182503.