GCF of 858/387, 5135/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 858/387, 5135/769 i.e 13/297603 easily. The following is the detailed procedure to determine the greatest common factor of fractions 858/387, 5135/769.
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 858/387,5135/769?
Given fractions are 858/387,5135/769
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 858/387,5135/769, numerators are 858,5135
Denominators are 387,769
The GCF of 858,5135 is 13 .
LCM of 387,769 is 297603.
The greatest common factor of 858/387,5135/769 = [GCF of 858,5135]/[LCM of 387,769]= 13/297603
Therefore, the GCF of 858/387,5135/769 is 13/297603.
To find the highest common factor of 858,5135, we have to find the factors of both numbers and list the highest common factor.
The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
The factors of 5135 are 1, 5, 13, 65, 79, 395, 1027, 5135
The HCF of 858,5135 is 13.
Lets's calculate GCF of 858,5135
| 13 | 858, 5135 |
| 66, 395 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 858,5135 By Matching Biggest Common Factor Method
Now, list down the factors of 858
:1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Now, list down the factors of 5135
:1,5,13,65,79,395,1027,5135
Greatest Common Factor
We found the factors 858,5135 . The biggest common factor number is the GCF number.
So the greatest common factor 858,5135 is 13.
Lets's calculate LCM of 387,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 297603
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/297603
Therefore, the GCF of Fractions 858/387,5135/769 is 13/297603
Least Common Multiple of 387,769 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 387,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,769) x common factors =1 x 1 = 1
LCM(387,769) = ( 387 × 769 ) / 1
LCM(387,769) = 297603 / 1
LCM(387,769) = 297603
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FAQs on GCF of Fractions of 858/387, 5135/769
1. What is the HCF of 858,5135?
The HCF of 858,5135 is 13
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 858/387, 5135/769?
Answer: GCF of Numerators as per given numbers 858/387, 5135/769 is
GCF of Numerators i.e. for 858,5135 is 13
LCM of denominators i.e. for 387,769 is 297603.
Thus, GCF of Fractions is 13/297603.Finally, GCF of Fractions for 858/387, 5135/769 is 13/297603.