GCF of 3318/290, 5570/6168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3318/290, 5570/6168 i.e 2/894360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3318/290, 5570/6168.
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 3318/290,5570/6168?
Given fractions are 3318/290,5570/6168
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 3318/290,5570/6168, numerators are 3318,5570
Denominators are 290,6168
The GCF of 3318,5570 is 2 .
LCM of 290,6168 is 894360.
The greatest common factor of 3318/290,5570/6168 = [GCF of 3318,5570]/[LCM of 290,6168]= 2/894360
Therefore, the GCF of 3318/290,5570/6168 is 2/894360.
To find the highest common factor of 3318,5570, we have to find the factors of both numbers and list the highest common factor.
The factors of 3318 are 1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318
The factors of 5570 are 1, 2, 5, 10, 557, 1114, 2785, 5570
The HCF of 3318,5570 is 2.
Lets's calculate GCF of 3318,5570
| 2 | 3318, 5570 |
| 1659, 2785 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3318,5570 By Matching Biggest Common Factor Method
Now, list down the factors of 3318
:1,2,3,6,7,14,21,42,79,158,237,474,553,1106,1659,3318
Now, list down the factors of 5570
:1,2,5,10,557,1114,2785,5570
Greatest Common Factor
We found the factors 3318,5570 . The biggest common factor number is the GCF number.
So the greatest common factor 3318,5570 is 2.
Lets's calculate LCM of 290,6168
| 2 | 290, 6168 |
| 145, 3084 |
∴ So the LCM of the given numbers is 2 x 145 x 3084 = 894360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/894360
Therefore, the GCF of Fractions 3318/290,5570/6168 is 2/894360
Least Common Multiple of 290,6168 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 290,6168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,6168) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,6168) x common factors =2 x 1 = 2
LCM(290,6168) = ( 290 × 6168 ) / 2
LCM(290,6168) = 1788720 / 2
LCM(290,6168) = 894360
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FAQs on GCF of Fractions of 3318/290, 5570/6168
1. What is the HCF of 3318,5570?
The HCF of 3318,5570 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 3318/290, 5570/6168?
Answer: GCF of Numerators as per given numbers 3318/290, 5570/6168 is
GCF of Numerators i.e. for 3318,5570 is 2
LCM of denominators i.e. for 290,6168 is 894360.
Thus, GCF of Fractions is 2/894360.Finally, GCF of Fractions for 3318/290, 5570/6168 is 2/894360.