GCF of 2336/170, 5574/217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2336/170, 5574/217 i.e 2/36890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2336/170, 5574/217.
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 2336/170,5574/217?
Given fractions are 2336/170,5574/217
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 2336/170,5574/217, numerators are 2336,5574
Denominators are 170,217
The GCF of 2336,5574 is 2 .
LCM of 170,217 is 36890.
The greatest common factor of 2336/170,5574/217 = [GCF of 2336,5574]/[LCM of 170,217]= 2/36890
Therefore, the GCF of 2336/170,5574/217 is 2/36890.
To find the highest common factor of 2336,5574, we have to find the factors of both numbers and list the highest common factor.
The factors of 2336 are 1, 2, 4, 8, 16, 32, 73, 146, 292, 584, 1168, 2336
The factors of 5574 are 1, 2, 3, 6, 929, 1858, 2787, 5574
The HCF of 2336,5574 is 2.
Lets's calculate GCF of 2336,5574
| 2 | 2336, 5574 |
| 1168, 2787 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2336,5574 By Matching Biggest Common Factor Method
Now, list down the factors of 2336
:1,2,4,8,16,32,73,146,292,584,1168,2336
Now, list down the factors of 5574
:1,2,3,6,929,1858,2787,5574
Greatest Common Factor
We found the factors 2336,5574 . The biggest common factor number is the GCF number.
So the greatest common factor 2336,5574 is 2.
Lets's calculate LCM of 170,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 36890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36890
Therefore, the GCF of Fractions 2336/170,5574/217 is 2/36890
Least Common Multiple of 170,217 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 170,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(170,217) x common factors =1 x 1 = 1
LCM(170,217) = ( 170 × 217 ) / 1
LCM(170,217) = 36890 / 1
LCM(170,217) = 36890
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FAQs on GCF of Fractions of 2336/170, 5574/217
1. What is the HCF of 2336,5574?
The HCF of 2336,5574 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 2336/170, 5574/217?
Answer: GCF of Numerators as per given numbers 2336/170, 5574/217 is
GCF of Numerators i.e. for 2336,5574 is 2
LCM of denominators i.e. for 170,217 is 36890.
Thus, GCF of Fractions is 2/36890.Finally, GCF of Fractions for 2336/170, 5574/217 is 2/36890.