GCF of 415/707, 1490/362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 415/707, 1490/362 i.e 5/255934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 415/707, 1490/362.
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 415/707,1490/362?
Given fractions are 415/707,1490/362
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 415/707,1490/362, numerators are 415,1490
Denominators are 707,362
The GCF of 415,1490 is 5 .
LCM of 707,362 is 255934.
The greatest common factor of 415/707,1490/362 = [GCF of 415,1490]/[LCM of 707,362]= 5/255934
Therefore, the GCF of 415/707,1490/362 is 5/255934.
To find the highest common factor of 415,1490, we have to find the factors of both numbers and list the highest common factor.
The factors of 415 are 1, 5, 83, 415
The factors of 1490 are 1, 2, 5, 10, 149, 298, 745, 1490
The HCF of 415,1490 is 5.
Lets's calculate GCF of 415,1490
| 5 | 415, 1490 |
| 83, 298 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 415,1490 By Matching Biggest Common Factor Method
Now, list down the factors of 415
:1,5,83,415
Now, list down the factors of 1490
:1,2,5,10,149,298,745,1490
Greatest Common Factor
We found the factors 415,1490 . The biggest common factor number is the GCF number.
So the greatest common factor 415,1490 is 5.
Lets's calculate LCM of 707,362
Given numbers has no common factors except 1. So, there LCM is their product i.e 255934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/255934
Therefore, the GCF of Fractions 415/707,1490/362 is 5/255934
Least Common Multiple of 707,362 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 707,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,362) x common factors =1 x 1 = 1
LCM(707,362) = ( 707 × 362 ) / 1
LCM(707,362) = 255934 / 1
LCM(707,362) = 255934
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FAQs on GCF of Fractions of 415/707, 1490/362
1. What is the HCF of 415,1490?
The HCF of 415,1490 is 5
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 415/707, 1490/362?
Answer: GCF of Numerators as per given numbers 415/707, 1490/362 is
GCF of Numerators i.e. for 415,1490 is 5
LCM of denominators i.e. for 707,362 is 255934.
Thus, GCF of Fractions is 5/255934.Finally, GCF of Fractions for 415/707, 1490/362 is 5/255934.