GCF of 5840/709, 2342/590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5840/709, 2342/590 i.e 2/418310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5840/709, 2342/590.
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 5840/709,2342/590?
Given fractions are 5840/709,2342/590
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 5840/709,2342/590, numerators are 5840,2342
Denominators are 709,590
The GCF of 5840,2342 is 2 .
LCM of 709,590 is 418310.
The greatest common factor of 5840/709,2342/590 = [GCF of 5840,2342]/[LCM of 709,590]= 2/418310
Therefore, the GCF of 5840/709,2342/590 is 2/418310.
To find the highest common factor of 5840,2342, we have to find the factors of both numbers and list the highest common factor.
The factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840
The factors of 2342 are 1, 2, 1171, 2342
The HCF of 5840,2342 is 2.
Lets's calculate GCF of 5840,2342
| 2 | 5840, 2342 |
| 2920, 1171 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5840,2342 By Matching Biggest Common Factor Method
Now, list down the factors of 5840
:1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840
Now, list down the factors of 2342
:1,2,1171,2342
Greatest Common Factor
We found the factors 5840,2342 . The biggest common factor number is the GCF number.
So the greatest common factor 5840,2342 is 2.
Lets's calculate LCM of 709,590
Given numbers has no common factors except 1. So, there LCM is their product i.e 418310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/418310
Therefore, the GCF of Fractions 5840/709,2342/590 is 2/418310
Least Common Multiple of 709,590 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 709,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,590) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,590) x common factors =1 x 1 = 1
LCM(709,590) = ( 709 × 590 ) / 1
LCM(709,590) = 418310 / 1
LCM(709,590) = 418310
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FAQs on GCF of Fractions of 5840/709, 2342/590
1. What is the HCF of 5840,2342?
The HCF of 5840,2342 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 5840/709, 2342/590?
Answer: GCF of Numerators as per given numbers 5840/709, 2342/590 is
GCF of Numerators i.e. for 5840,2342 is 2
LCM of denominators i.e. for 709,590 is 418310.
Thus, GCF of Fractions is 2/418310.Finally, GCF of Fractions for 5840/709, 2342/590 is 2/418310.