GCF of 4240/605, 6688/7826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4240/605, 6688/7826 i.e 16/4734730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4240/605, 6688/7826.
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 4240/605,6688/7826?
Given fractions are 4240/605,6688/7826
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 4240/605,6688/7826, numerators are 4240,6688
Denominators are 605,7826
The GCF of 4240,6688 is 16 .
LCM of 605,7826 is 4734730.
The greatest common factor of 4240/605,6688/7826 = [GCF of 4240,6688]/[LCM of 605,7826]= 16/4734730
Therefore, the GCF of 4240/605,6688/7826 is 16/4734730.
To find the highest common factor of 4240,6688, we have to find the factors of both numbers and list the highest common factor.
The factors of 4240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120, 4240
The factors of 6688 are 1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 76, 88, 152, 176, 209, 304, 352, 418, 608, 836, 1672, 3344, 6688
The HCF of 4240,6688 is 16.
Lets's calculate GCF of 4240,6688
| 2 | 4240, 6688 |
| 2 | 2120, 3344 |
| 2 | 1060, 1672 |
| 2 | 530, 836 |
| 265, 418 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4240,6688 By Matching Biggest Common Factor Method
Now, list down the factors of 4240
:1,2,4,5,8,10,16,20,40,53,80,106,212,265,424,530,848,1060,2120,4240
Now, list down the factors of 6688
:1,2,4,8,11,16,19,22,32,38,44,76,88,152,176,209,304,352,418,608,836,1672,3344,6688
Greatest Common Factor
We found the factors 4240,6688 . The biggest common factor number is the GCF number.
So the greatest common factor 4240,6688 is 16.
Lets's calculate LCM of 605,7826
Given numbers has no common factors except 1. So, there LCM is their product i.e 4734730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/4734730
Therefore, the GCF of Fractions 4240/605,6688/7826 is 16/4734730
Least Common Multiple of 605,7826 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 605,7826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,7826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,7826) x common factors =1 x 1 = 1
LCM(605,7826) = ( 605 × 7826 ) / 1
LCM(605,7826) = 4734730 / 1
LCM(605,7826) = 4734730
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FAQs on GCF of Fractions of 4240/605, 6688/7826
1. What is the HCF of 4240,6688?
The HCF of 4240,6688 is 16
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 4240/605, 6688/7826?
Answer: GCF of Numerators as per given numbers 4240/605, 6688/7826 is
GCF of Numerators i.e. for 4240,6688 is 16
LCM of denominators i.e. for 605,7826 is 4734730.
Thus, GCF of Fractions is 16/4734730.Finally, GCF of Fractions for 4240/605, 6688/7826 is 16/4734730.