GCF of 1134/10, 8586/786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1134/10, 8586/786 i.e 162/3930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1134/10, 8586/786.
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 1134/10,8586/786?
Given fractions are 1134/10,8586/786
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 1134/10,8586/786, numerators are 1134,8586
Denominators are 10,786
The GCF of 1134,8586 is 162 .
LCM of 10,786 is 3930.
The greatest common factor of 1134/10,8586/786 = [GCF of 1134,8586]/[LCM of 10,786]= 162/3930
Therefore, the GCF of 1134/10,8586/786 is 162/3930.
To find the highest common factor of 1134,8586, we have to find the factors of both numbers and list the highest common factor.
The factors of 1134 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134
The factors of 8586 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 318, 477, 954, 1431, 2862, 4293, 8586
The HCF of 1134,8586 is 162.
Lets's calculate GCF of 1134,8586
| 2 | 1134, 8586 |
| 3 | 567, 4293 |
| 3 | 189, 1431 |
| 3 | 63, 477 |
| 3 | 21, 159 |
| 7, 53 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 3 = 162
Greatest Common Factor of 1134,8586 By Matching Biggest Common Factor Method
Now, list down the factors of 1134
:1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,378,567,1134
Now, list down the factors of 8586
:1,2,3,6,9,18,27,53,54,81,106,159,162,318,477,954,1431,2862,4293,8586
Greatest Common Factor
We found the factors 1134,8586 . The biggest common factor number is the GCF number.
So the greatest common factor 1134,8586 is 162.
Lets's calculate LCM of 10,786
| 2 | 10, 786 |
| 5, 393 |
∴ So the LCM of the given numbers is 2 x 5 x 393 = 3930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 162/3930
Therefore, the GCF of Fractions 1134/10,8586/786 is 162/3930
Least Common Multiple of 10,786 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 10,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(10,786) x common factors =2 x 1 = 2
LCM(10,786) = ( 10 × 786 ) / 2
LCM(10,786) = 7860 / 2
LCM(10,786) = 3930
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FAQs on GCF of Fractions of 1134/10, 8586/786
1. What is the HCF of 1134,8586?
The HCF of 1134,8586 is 162
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 1134/10, 8586/786?
Answer: GCF of Numerators as per given numbers 1134/10, 8586/786 is
GCF of Numerators i.e. for 1134,8586 is 162
LCM of denominators i.e. for 10,786 is 3930.
Thus, GCF of Fractions is 162/3930.Finally, GCF of Fractions for 1134/10, 8586/786 is 162/3930.