GCF of 6655/639, 1235/728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6655/639, 1235/728 i.e 5/465192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6655/639, 1235/728.
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 6655/639,1235/728?
Given fractions are 6655/639,1235/728
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 6655/639,1235/728, numerators are 6655,1235
Denominators are 639,728
The GCF of 6655,1235 is 5 .
LCM of 639,728 is 465192.
The greatest common factor of 6655/639,1235/728 = [GCF of 6655,1235]/[LCM of 639,728]= 5/465192
Therefore, the GCF of 6655/639,1235/728 is 5/465192.
To find the highest common factor of 6655,1235, we have to find the factors of both numbers and list the highest common factor.
The factors of 6655 are 1, 5, 11, 55, 121, 605, 1331, 6655
The factors of 1235 are 1, 5, 13, 19, 65, 95, 247, 1235
The HCF of 6655,1235 is 5.
Lets's calculate GCF of 6655,1235
| 5 | 6655, 1235 |
| 1331, 247 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6655,1235 By Matching Biggest Common Factor Method
Now, list down the factors of 6655
:1,5,11,55,121,605,1331,6655
Now, list down the factors of 1235
:1,5,13,19,65,95,247,1235
Greatest Common Factor
We found the factors 6655,1235 . The biggest common factor number is the GCF number.
So the greatest common factor 6655,1235 is 5.
Lets's calculate LCM of 639,728
Given numbers has no common factors except 1. So, there LCM is their product i.e 465192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/465192
Therefore, the GCF of Fractions 6655/639,1235/728 is 5/465192
Least Common Multiple of 639,728 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 639,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,728) x common factors =1 x 1 = 1
LCM(639,728) = ( 639 × 728 ) / 1
LCM(639,728) = 465192 / 1
LCM(639,728) = 465192
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FAQs on GCF of Fractions of 6655/639, 1235/728
1. What is the HCF of 6655,1235?
The HCF of 6655,1235 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 6655/639, 1235/728?
Answer: GCF of Numerators as per given numbers 6655/639, 1235/728 is
GCF of Numerators i.e. for 6655,1235 is 5
LCM of denominators i.e. for 639,728 is 465192.
Thus, GCF of Fractions is 5/465192.Finally, GCF of Fractions for 6655/639, 1235/728 is 5/465192.