GCF of 1158/905, 5152/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1158/905, 5152/409 i.e 2/370145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1158/905, 5152/409.
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 1158/905,5152/409?
Given fractions are 1158/905,5152/409
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 1158/905,5152/409, numerators are 1158,5152
Denominators are 905,409
The GCF of 1158,5152 is 2 .
LCM of 905,409 is 370145.
The greatest common factor of 1158/905,5152/409 = [GCF of 1158,5152]/[LCM of 905,409]= 2/370145
Therefore, the GCF of 1158/905,5152/409 is 2/370145.
To find the highest common factor of 1158,5152, we have to find the factors of both numbers and list the highest common factor.
The factors of 1158 are 1, 2, 3, 6, 193, 386, 579, 1158
The factors of 5152 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152
The HCF of 1158,5152 is 2.
Lets's calculate GCF of 1158,5152
| 2 | 1158, 5152 |
| 579, 2576 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1158,5152 By Matching Biggest Common Factor Method
Now, list down the factors of 1158
:1,2,3,6,193,386,579,1158
Now, list down the factors of 5152
:1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152
Greatest Common Factor
We found the factors 1158,5152 . The biggest common factor number is the GCF number.
So the greatest common factor 1158,5152 is 2.
Lets's calculate LCM of 905,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 370145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/370145
Therefore, the GCF of Fractions 1158/905,5152/409 is 2/370145
Least Common Multiple of 905,409 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 905,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,409) x common factors =1 x 1 = 1
LCM(905,409) = ( 905 × 409 ) / 1
LCM(905,409) = 370145 / 1
LCM(905,409) = 370145
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FAQs on GCF of Fractions of 1158/905, 5152/409
1. What is the HCF of 1158,5152?
The HCF of 1158,5152 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 1158/905, 5152/409?
Answer: GCF of Numerators as per given numbers 1158/905, 5152/409 is
GCF of Numerators i.e. for 1158,5152 is 2
LCM of denominators i.e. for 905,409 is 370145.
Thus, GCF of Fractions is 2/370145.Finally, GCF of Fractions for 1158/905, 5152/409 is 2/370145.