GCF of 616/320, 717/658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 616/320, 717/658 i.e 1/105280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 616/320, 717/658.
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 616/320,717/658?
Given fractions are 616/320,717/658
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 616/320,717/658, numerators are 616,717
Denominators are 320,658
The GCF of 616,717 is 1 .
LCM of 320,658 is 105280.
The greatest common factor of 616/320,717/658 = [GCF of 616,717]/[LCM of 320,658]= 1/105280
Therefore, the GCF of 616/320,717/658 is 1/105280.
To find the highest common factor of 616,717, we have to find the factors of both numbers and list the highest common factor.
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The factors of 717 are 1, 3, 239, 717
The HCF of 616,717 is 1.
Lets's calculate GCF of 616,717
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 616,717 By Matching Biggest Common Factor Method
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Now, list down the factors of 717
:1,3,239,717
Greatest Common Factor
We found the factors 616,717 . The biggest common factor number is the GCF number.
So the greatest common factor 616,717 is 1.
Lets's calculate LCM of 320,658
| 2 | 320, 658 |
| 160, 329 |
∴ So the LCM of the given numbers is 2 x 160 x 329 = 105280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105280
Therefore, the GCF of Fractions 616/320,717/658 is 1/105280
Least Common Multiple of 320,658 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 320,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(320,658) x common factors =2 x 1 = 2
LCM(320,658) = ( 320 × 658 ) / 2
LCM(320,658) = 210560 / 2
LCM(320,658) = 105280
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FAQs on GCF of Fractions of 616/320, 717/658
1. What is the HCF of 616,717?
The HCF of 616,717 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 616/320, 717/658?
Answer: GCF of Numerators as per given numbers 616/320, 717/658 is
GCF of Numerators i.e. for 616,717 is 1
LCM of denominators i.e. for 320,658 is 105280.
Thus, GCF of Fractions is 1/105280.Finally, GCF of Fractions for 616/320, 717/658 is 1/105280.