GCF of 9512/360, 2842/1170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9512/360, 2842/1170 i.e 58/4680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9512/360, 2842/1170.
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 9512/360,2842/1170?
Given fractions are 9512/360,2842/1170
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 9512/360,2842/1170, numerators are 9512,2842
Denominators are 360,1170
The GCF of 9512,2842 is 58 .
LCM of 360,1170 is 4680.
The greatest common factor of 9512/360,2842/1170 = [GCF of 9512,2842]/[LCM of 360,1170]= 58/4680
Therefore, the GCF of 9512/360,2842/1170 is 58/4680.
To find the highest common factor of 9512,2842, we have to find the factors of both numbers and list the highest common factor.
The factors of 9512 are 1, 2, 4, 8, 29, 41, 58, 82, 116, 164, 232, 328, 1189, 2378, 4756, 9512
The factors of 2842 are 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842
The HCF of 9512,2842 is 58.
Lets's calculate GCF of 9512,2842
| 2 | 9512, 2842 |
| 29 | 4756, 1421 |
| 164, 49 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 9512,2842 By Matching Biggest Common Factor Method
Now, list down the factors of 9512
:1,2,4,8,29,41,58,82,116,164,232,328,1189,2378,4756,9512
Now, list down the factors of 2842
:1,2,7,14,29,49,58,98,203,406,1421,2842
Greatest Common Factor
We found the factors 9512,2842 . The biggest common factor number is the GCF number.
So the greatest common factor 9512,2842 is 58.
Lets's calculate LCM of 360,1170
| 2 | 360, 1170 |
| 3 | 180, 585 |
| 3 | 60, 195 |
| 5 | 20, 65 |
| 4, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 4 x 13 = 4680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/4680
Therefore, the GCF of Fractions 9512/360,2842/1170 is 58/4680
Least Common Multiple of 360,1170 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 360,1170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,1170) = 90
common factors(in case of two or more numbers have common factors) = 1
GCF(360,1170) x common factors =90 x 1 = 90
LCM(360,1170) = ( 360 × 1170 ) / 90
LCM(360,1170) = 421200 / 90
LCM(360,1170) = 4680
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FAQs on GCF of Fractions of 9512/360, 2842/1170
1. What is the HCF of 9512,2842?
The HCF of 9512,2842 is 58
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 9512/360, 2842/1170?
Answer: GCF of Numerators as per given numbers 9512/360, 2842/1170 is
GCF of Numerators i.e. for 9512,2842 is 58
LCM of denominators i.e. for 360,1170 is 4680.
Thus, GCF of Fractions is 58/4680.Finally, GCF of Fractions for 9512/360, 2842/1170 is 58/4680.