GCF of 5417/686, 3190/7328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5417/686, 3190/7328 i.e 1/2513504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5417/686, 3190/7328.
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 5417/686,3190/7328?
Given fractions are 5417/686,3190/7328
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 5417/686,3190/7328, numerators are 5417,3190
Denominators are 686,7328
The GCF of 5417,3190 is 1 .
LCM of 686,7328 is 2513504.
The greatest common factor of 5417/686,3190/7328 = [GCF of 5417,3190]/[LCM of 686,7328]= 1/2513504
Therefore, the GCF of 5417/686,3190/7328 is 1/2513504.
To find the highest common factor of 5417,3190, we have to find the factors of both numbers and list the highest common factor.
The factors of 5417 are 1, 5417
The factors of 3190 are 1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 145, 290, 319, 638, 1595, 3190
The HCF of 5417,3190 is 1.
Lets's calculate GCF of 5417,3190
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5417,3190 By Matching Biggest Common Factor Method
Now, list down the factors of 5417
:1,5417
Now, list down the factors of 3190
:1,2,5,10,11,22,29,55,58,110,145,290,319,638,1595,3190
Greatest Common Factor
We found the factors 5417,3190 . The biggest common factor number is the GCF number.
So the greatest common factor 5417,3190 is 1.
Lets's calculate LCM of 686,7328
| 2 | 686, 7328 |
| 343, 3664 |
∴ So the LCM of the given numbers is 2 x 343 x 3664 = 2513504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2513504
Therefore, the GCF of Fractions 5417/686,3190/7328 is 1/2513504
Least Common Multiple of 686,7328 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 686,7328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,7328) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,7328) x common factors =2 x 1 = 2
LCM(686,7328) = ( 686 × 7328 ) / 2
LCM(686,7328) = 5027008 / 2
LCM(686,7328) = 2513504
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FAQs on GCF of Fractions of 5417/686, 3190/7328
1. What is the HCF of 5417,3190?
The HCF of 5417,3190 is 1
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 5417/686, 3190/7328?
Answer: GCF of Numerators as per given numbers 5417/686, 3190/7328 is
GCF of Numerators i.e. for 5417,3190 is 1
LCM of denominators i.e. for 686,7328 is 2513504.
Thus, GCF of Fractions is 1/2513504.Finally, GCF of Fractions for 5417/686, 3190/7328 is 1/2513504.