GCF of 590/208, 9514/914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 590/208, 9514/914 i.e 2/95056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/208, 9514/914.
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 590/208,9514/914?
Given fractions are 590/208,9514/914
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 590/208,9514/914, numerators are 590,9514
Denominators are 208,914
The GCF of 590,9514 is 2 .
LCM of 208,914 is 95056.
The greatest common factor of 590/208,9514/914 = [GCF of 590,9514]/[LCM of 208,914]= 2/95056
Therefore, the GCF of 590/208,9514/914 is 2/95056.
To find the highest common factor of 590,9514, we have to find the factors of both numbers and list the highest common factor.
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The factors of 9514 are 1, 2, 67, 71, 134, 142, 4757, 9514
The HCF of 590,9514 is 2.
Lets's calculate GCF of 590,9514
| 2 | 590, 9514 |
| 295, 4757 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 590,9514 By Matching Biggest Common Factor Method
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Now, list down the factors of 9514
:1,2,67,71,134,142,4757,9514
Greatest Common Factor
We found the factors 590,9514 . The biggest common factor number is the GCF number.
So the greatest common factor 590,9514 is 2.
Lets's calculate LCM of 208,914
| 2 | 208, 914 |
| 104, 457 |
∴ So the LCM of the given numbers is 2 x 104 x 457 = 95056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/95056
Therefore, the GCF of Fractions 590/208,9514/914 is 2/95056
Least Common Multiple of 208,914 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 208,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(208,914) x common factors =2 x 1 = 2
LCM(208,914) = ( 208 × 914 ) / 2
LCM(208,914) = 190112 / 2
LCM(208,914) = 95056
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FAQs on GCF of Fractions of 590/208, 9514/914
1. What is the HCF of 590,9514?
The HCF of 590,9514 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 590/208, 9514/914?
Answer: GCF of Numerators as per given numbers 590/208, 9514/914 is
GCF of Numerators i.e. for 590,9514 is 2
LCM of denominators i.e. for 208,914 is 95056.
Thus, GCF of Fractions is 2/95056.Finally, GCF of Fractions for 590/208, 9514/914 is 2/95056.