GCF of 2350/174, 3606/5684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2350/174, 3606/5684 i.e 2/17052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2350/174, 3606/5684.
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 2350/174,3606/5684?
Given fractions are 2350/174,3606/5684
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 2350/174,3606/5684, numerators are 2350,3606
Denominators are 174,5684
The GCF of 2350,3606 is 2 .
LCM of 174,5684 is 17052.
The greatest common factor of 2350/174,3606/5684 = [GCF of 2350,3606]/[LCM of 174,5684]= 2/17052
Therefore, the GCF of 2350/174,3606/5684 is 2/17052.
To find the highest common factor of 2350,3606, we have to find the factors of both numbers and list the highest common factor.
The factors of 2350 are 1, 2, 5, 10, 25, 47, 50, 94, 235, 470, 1175, 2350
The factors of 3606 are 1, 2, 3, 6, 601, 1202, 1803, 3606
The HCF of 2350,3606 is 2.
Lets's calculate GCF of 2350,3606
| 2 | 2350, 3606 |
| 1175, 1803 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2350,3606 By Matching Biggest Common Factor Method
Now, list down the factors of 2350
:1,2,5,10,25,47,50,94,235,470,1175,2350
Now, list down the factors of 3606
:1,2,3,6,601,1202,1803,3606
Greatest Common Factor
We found the factors 2350,3606 . The biggest common factor number is the GCF number.
So the greatest common factor 2350,3606 is 2.
Lets's calculate LCM of 174,5684
| 2 | 174, 5684 |
| 29 | 87, 2842 |
| 3, 98 |
∴ So the LCM of the given numbers is 2 x 29 x 3 x 98 = 17052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17052
Therefore, the GCF of Fractions 2350/174,3606/5684 is 2/17052
Least Common Multiple of 174,5684 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 174,5684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,5684) = 58
common factors(in case of two or more numbers have common factors) = 1
GCF(174,5684) x common factors =58 x 1 = 58
LCM(174,5684) = ( 174 × 5684 ) / 58
LCM(174,5684) = 989016 / 58
LCM(174,5684) = 17052
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FAQs on GCF of Fractions of 2350/174, 3606/5684
1. What is the HCF of 2350,3606?
The HCF of 2350,3606 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 2350/174, 3606/5684?
Answer: GCF of Numerators as per given numbers 2350/174, 3606/5684 is
GCF of Numerators i.e. for 2350,3606 is 2
LCM of denominators i.e. for 174,5684 is 17052.
Thus, GCF of Fractions is 2/17052.Finally, GCF of Fractions for 2350/174, 3606/5684 is 2/17052.