GCF of 8834/905, 3444/3877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8834/905, 3444/3877 i.e 14/3508685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8834/905, 3444/3877.
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 8834/905,3444/3877?
Given fractions are 8834/905,3444/3877
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 8834/905,3444/3877, numerators are 8834,3444
Denominators are 905,3877
The GCF of 8834,3444 is 14 .
LCM of 905,3877 is 3508685.
The greatest common factor of 8834/905,3444/3877 = [GCF of 8834,3444]/[LCM of 905,3877]= 14/3508685
Therefore, the GCF of 8834/905,3444/3877 is 14/3508685.
To find the highest common factor of 8834,3444, we have to find the factors of both numbers and list the highest common factor.
The factors of 8834 are 1, 2, 7, 14, 631, 1262, 4417, 8834
The factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444
The HCF of 8834,3444 is 14.
Lets's calculate GCF of 8834,3444
| 2 | 8834, 3444 |
| 7 | 4417, 1722 |
| 631, 246 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 8834,3444 By Matching Biggest Common Factor Method
Now, list down the factors of 8834
:1,2,7,14,631,1262,4417,8834
Now, list down the factors of 3444
:1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444
Greatest Common Factor
We found the factors 8834,3444 . The biggest common factor number is the GCF number.
So the greatest common factor 8834,3444 is 14.
Lets's calculate LCM of 905,3877
Given numbers has no common factors except 1. So, there LCM is their product i.e 3508685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3508685
Therefore, the GCF of Fractions 8834/905,3444/3877 is 14/3508685
Least Common Multiple of 905,3877 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 905,3877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,3877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,3877) x common factors =1 x 1 = 1
LCM(905,3877) = ( 905 × 3877 ) / 1
LCM(905,3877) = 3508685 / 1
LCM(905,3877) = 3508685
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FAQs on GCF of Fractions of 8834/905, 3444/3877
1. What is the HCF of 8834,3444?
The HCF of 8834,3444 is 14
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 8834/905, 3444/3877?
Answer: GCF of Numerators as per given numbers 8834/905, 3444/3877 is
GCF of Numerators i.e. for 8834,3444 is 14
LCM of denominators i.e. for 905,3877 is 3508685.
Thus, GCF of Fractions is 14/3508685.Finally, GCF of Fractions for 8834/905, 3444/3877 is 14/3508685.