GCF of 655/614, 1230/728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 655/614, 1230/728 i.e 5/223496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 655/614, 1230/728.
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 655/614,1230/728?
Given fractions are 655/614,1230/728
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 655/614,1230/728, numerators are 655,1230
Denominators are 614,728
The GCF of 655,1230 is 5 .
LCM of 614,728 is 223496.
The greatest common factor of 655/614,1230/728 = [GCF of 655,1230]/[LCM of 614,728]= 5/223496
Therefore, the GCF of 655/614,1230/728 is 5/223496.
To find the highest common factor of 655,1230, we have to find the factors of both numbers and list the highest common factor.
The factors of 655 are 1, 5, 131, 655
The factors of 1230 are 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230
The HCF of 655,1230 is 5.
Lets's calculate GCF of 655,1230
| 5 | 655, 1230 |
| 131, 246 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 655,1230 By Matching Biggest Common Factor Method
Now, list down the factors of 655
:1,5,131,655
Now, list down the factors of 1230
:1,2,3,5,6,10,15,30,41,82,123,205,246,410,615,1230
Greatest Common Factor
We found the factors 655,1230 . The biggest common factor number is the GCF number.
So the greatest common factor 655,1230 is 5.
Lets's calculate LCM of 614,728
| 2 | 614, 728 |
| 307, 364 |
∴ So the LCM of the given numbers is 2 x 307 x 364 = 223496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/223496
Therefore, the GCF of Fractions 655/614,1230/728 is 5/223496
Least Common Multiple of 614,728 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 614,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,728) x common factors =2 x 1 = 2
LCM(614,728) = ( 614 × 728 ) / 2
LCM(614,728) = 446992 / 2
LCM(614,728) = 223496
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FAQs on GCF of Fractions of 655/614, 1230/728
1. What is the HCF of 655,1230?
The HCF of 655,1230 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 655/614, 1230/728?
Answer: GCF of Numerators as per given numbers 655/614, 1230/728 is
GCF of Numerators i.e. for 655,1230 is 5
LCM of denominators i.e. for 614,728 is 223496.
Thus, GCF of Fractions is 5/223496.Finally, GCF of Fractions for 655/614, 1230/728 is 5/223496.