GCF of 6056/662, 8610/559
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6056/662, 8610/559 i.e 2/370058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6056/662, 8610/559.
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 6056/662,8610/559?
Given fractions are 6056/662,8610/559
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 6056/662,8610/559, numerators are 6056,8610
Denominators are 662,559
The GCF of 6056,8610 is 2 .
LCM of 662,559 is 370058.
The greatest common factor of 6056/662,8610/559 = [GCF of 6056,8610]/[LCM of 662,559]= 2/370058
Therefore, the GCF of 6056/662,8610/559 is 2/370058.
To find the highest common factor of 6056,8610, we have to find the factors of both numbers and list the highest common factor.
The factors of 6056 are 1, 2, 4, 8, 757, 1514, 3028, 6056
The factors of 8610 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610
The HCF of 6056,8610 is 2.
Lets's calculate GCF of 6056,8610
| 2 | 6056, 8610 |
| 3028, 4305 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6056,8610 By Matching Biggest Common Factor Method
Now, list down the factors of 6056
:1,2,4,8,757,1514,3028,6056
Now, list down the factors of 8610
:1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610
Greatest Common Factor
We found the factors 6056,8610 . The biggest common factor number is the GCF number.
So the greatest common factor 6056,8610 is 2.
Lets's calculate LCM of 662,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 370058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/370058
Therefore, the GCF of Fractions 6056/662,8610/559 is 2/370058
Least Common Multiple of 662,559 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 662,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(662,559) x common factors =1 x 1 = 1
LCM(662,559) = ( 662 × 559 ) / 1
LCM(662,559) = 370058 / 1
LCM(662,559) = 370058
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FAQs on GCF of Fractions of 6056/662, 8610/559
1. What is the HCF of 6056,8610?
The HCF of 6056,8610 is 2
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 6056/662, 8610/559?
Answer: GCF of Numerators as per given numbers 6056/662, 8610/559 is
GCF of Numerators i.e. for 6056,8610 is 2
LCM of denominators i.e. for 662,559 is 370058.
Thus, GCF of Fractions is 2/370058.Finally, GCF of Fractions for 6056/662, 8610/559 is 2/370058.