GCF of 4135/558, 5560/6391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4135/558, 5560/6391 i.e 5/3566178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4135/558, 5560/6391.
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 4135/558,5560/6391?
Given fractions are 4135/558,5560/6391
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 4135/558,5560/6391, numerators are 4135,5560
Denominators are 558,6391
The GCF of 4135,5560 is 5 .
LCM of 558,6391 is 3566178.
The greatest common factor of 4135/558,5560/6391 = [GCF of 4135,5560]/[LCM of 558,6391]= 5/3566178
Therefore, the GCF of 4135/558,5560/6391 is 5/3566178.
To find the highest common factor of 4135,5560, we have to find the factors of both numbers and list the highest common factor.
The factors of 4135 are 1, 5, 827, 4135
The factors of 5560 are 1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560
The HCF of 4135,5560 is 5.
Lets's calculate GCF of 4135,5560
| 5 | 4135, 5560 |
| 827, 1112 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4135,5560 By Matching Biggest Common Factor Method
Now, list down the factors of 4135
:1,5,827,4135
Now, list down the factors of 5560
:1,2,4,5,8,10,20,40,139,278,556,695,1112,1390,2780,5560
Greatest Common Factor
We found the factors 4135,5560 . The biggest common factor number is the GCF number.
So the greatest common factor 4135,5560 is 5.
Lets's calculate LCM of 558,6391
Given numbers has no common factors except 1. So, there LCM is their product i.e 3566178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3566178
Therefore, the GCF of Fractions 4135/558,5560/6391 is 5/3566178
Least Common Multiple of 558,6391 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 558,6391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,6391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,6391) x common factors =1 x 1 = 1
LCM(558,6391) = ( 558 × 6391 ) / 1
LCM(558,6391) = 3566178 / 1
LCM(558,6391) = 3566178
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FAQs on GCF of Fractions of 4135/558, 5560/6391
1. What is the HCF of 4135,5560?
The HCF of 4135,5560 is 5
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 4135/558, 5560/6391?
Answer: GCF of Numerators as per given numbers 4135/558, 5560/6391 is
GCF of Numerators i.e. for 4135,5560 is 5
LCM of denominators i.e. for 558,6391 is 3566178.
Thus, GCF of Fractions is 5/3566178.Finally, GCF of Fractions for 4135/558, 5560/6391 is 5/3566178.