GCF of 5455/584, 3170/545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5455/584, 3170/545 i.e 5/318280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5455/584, 3170/545.
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 5455/584,3170/545?
Given fractions are 5455/584,3170/545
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 5455/584,3170/545, numerators are 5455,3170
Denominators are 584,545
The GCF of 5455,3170 is 5 .
LCM of 584,545 is 318280.
The greatest common factor of 5455/584,3170/545 = [GCF of 5455,3170]/[LCM of 584,545]= 5/318280
Therefore, the GCF of 5455/584,3170/545 is 5/318280.
To find the highest common factor of 5455,3170, we have to find the factors of both numbers and list the highest common factor.
The factors of 5455 are 1, 5, 1091, 5455
The factors of 3170 are 1, 2, 5, 10, 317, 634, 1585, 3170
The HCF of 5455,3170 is 5.
Lets's calculate GCF of 5455,3170
| 5 | 5455, 3170 |
| 1091, 634 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5455,3170 By Matching Biggest Common Factor Method
Now, list down the factors of 5455
:1,5,1091,5455
Now, list down the factors of 3170
:1,2,5,10,317,634,1585,3170
Greatest Common Factor
We found the factors 5455,3170 . The biggest common factor number is the GCF number.
So the greatest common factor 5455,3170 is 5.
Lets's calculate LCM of 584,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 318280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/318280
Therefore, the GCF of Fractions 5455/584,3170/545 is 5/318280
Least Common Multiple of 584,545 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 584,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,545) x common factors =1 x 1 = 1
LCM(584,545) = ( 584 × 545 ) / 1
LCM(584,545) = 318280 / 1
LCM(584,545) = 318280
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FAQs on GCF of Fractions of 5455/584, 3170/545
1. What is the HCF of 5455,3170?
The HCF of 5455,3170 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 5455/584, 3170/545?
Answer: GCF of Numerators as per given numbers 5455/584, 3170/545 is
GCF of Numerators i.e. for 5455,3170 is 5
LCM of denominators i.e. for 584,545 is 318280.
Thus, GCF of Fractions is 5/318280.Finally, GCF of Fractions for 5455/584, 3170/545 is 5/318280.