GCF of 5140/303, 5606/5822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5140/303, 5606/5822 i.e 2/1764066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5140/303, 5606/5822.
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 5140/303,5606/5822?
Given fractions are 5140/303,5606/5822
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 5140/303,5606/5822, numerators are 5140,5606
Denominators are 303,5822
The GCF of 5140,5606 is 2 .
LCM of 303,5822 is 1764066.
The greatest common factor of 5140/303,5606/5822 = [GCF of 5140,5606]/[LCM of 303,5822]= 2/1764066
Therefore, the GCF of 5140/303,5606/5822 is 2/1764066.
To find the highest common factor of 5140,5606, we have to find the factors of both numbers and list the highest common factor.
The factors of 5140 are 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140
The factors of 5606 are 1, 2, 2803, 5606
The HCF of 5140,5606 is 2.
Lets's calculate GCF of 5140,5606
| 2 | 5140, 5606 |
| 2570, 2803 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5140,5606 By Matching Biggest Common Factor Method
Now, list down the factors of 5140
:1,2,4,5,10,20,257,514,1028,1285,2570,5140
Now, list down the factors of 5606
:1,2,2803,5606
Greatest Common Factor
We found the factors 5140,5606 . The biggest common factor number is the GCF number.
So the greatest common factor 5140,5606 is 2.
Lets's calculate LCM of 303,5822
Given numbers has no common factors except 1. So, there LCM is their product i.e 1764066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1764066
Therefore, the GCF of Fractions 5140/303,5606/5822 is 2/1764066
Least Common Multiple of 303,5822 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 303,5822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,5822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,5822) x common factors =1 x 1 = 1
LCM(303,5822) = ( 303 × 5822 ) / 1
LCM(303,5822) = 1764066 / 1
LCM(303,5822) = 1764066
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FAQs on GCF of Fractions of 5140/303, 5606/5822
1. What is the HCF of 5140,5606?
The HCF of 5140,5606 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 5140/303, 5606/5822?
Answer: GCF of Numerators as per given numbers 5140/303, 5606/5822 is
GCF of Numerators i.e. for 5140,5606 is 2
LCM of denominators i.e. for 303,5822 is 1764066.
Thus, GCF of Fractions is 2/1764066.Finally, GCF of Fractions for 5140/303, 5606/5822 is 2/1764066.