GCF of 8182/683, 5660/1608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8182/683, 5660/1608 i.e 2/1098264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8182/683, 5660/1608.
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 8182/683,5660/1608?
Given fractions are 8182/683,5660/1608
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 8182/683,5660/1608, numerators are 8182,5660
Denominators are 683,1608
The GCF of 8182,5660 is 2 .
LCM of 683,1608 is 1098264.
The greatest common factor of 8182/683,5660/1608 = [GCF of 8182,5660]/[LCM of 683,1608]= 2/1098264
Therefore, the GCF of 8182/683,5660/1608 is 2/1098264.
To find the highest common factor of 8182,5660, we have to find the factors of both numbers and list the highest common factor.
The factors of 8182 are 1, 2, 4091, 8182
The factors of 5660 are 1, 2, 4, 5, 10, 20, 283, 566, 1132, 1415, 2830, 5660
The HCF of 8182,5660 is 2.
Lets's calculate GCF of 8182,5660
| 2 | 8182, 5660 |
| 4091, 2830 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8182,5660 By Matching Biggest Common Factor Method
Now, list down the factors of 8182
:1,2,4091,8182
Now, list down the factors of 5660
:1,2,4,5,10,20,283,566,1132,1415,2830,5660
Greatest Common Factor
We found the factors 8182,5660 . The biggest common factor number is the GCF number.
So the greatest common factor 8182,5660 is 2.
Lets's calculate LCM of 683,1608
Given numbers has no common factors except 1. So, there LCM is their product i.e 1098264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1098264
Therefore, the GCF of Fractions 8182/683,5660/1608 is 2/1098264
Least Common Multiple of 683,1608 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 683,1608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,1608) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,1608) x common factors =1 x 1 = 1
LCM(683,1608) = ( 683 × 1608 ) / 1
LCM(683,1608) = 1098264 / 1
LCM(683,1608) = 1098264
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FAQs on GCF of Fractions of 8182/683, 5660/1608
1. What is the HCF of 8182,5660?
The HCF of 8182,5660 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 8182/683, 5660/1608?
Answer: GCF of Numerators as per given numbers 8182/683, 5660/1608 is
GCF of Numerators i.e. for 8182,5660 is 2
LCM of denominators i.e. for 683,1608 is 1098264.
Thus, GCF of Fractions is 2/1098264.Finally, GCF of Fractions for 8182/683, 5660/1608 is 2/1098264.