GCF of 8944/918, 7016/1850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8944/918, 7016/1850 i.e 8/849150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8944/918, 7016/1850.
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 8944/918,7016/1850?
Given fractions are 8944/918,7016/1850
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 8944/918,7016/1850, numerators are 8944,7016
Denominators are 918,1850
The GCF of 8944,7016 is 8 .
LCM of 918,1850 is 849150.
The greatest common factor of 8944/918,7016/1850 = [GCF of 8944,7016]/[LCM of 918,1850]= 8/849150
Therefore, the GCF of 8944/918,7016/1850 is 8/849150.
To find the highest common factor of 8944,7016, we have to find the factors of both numbers and list the highest common factor.
The factors of 8944 are 1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472, 8944
The factors of 7016 are 1, 2, 4, 8, 877, 1754, 3508, 7016
The HCF of 8944,7016 is 8.
Lets's calculate GCF of 8944,7016
| 2 | 8944, 7016 |
| 2 | 4472, 3508 |
| 2 | 2236, 1754 |
| 1118, 877 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8944,7016 By Matching Biggest Common Factor Method
Now, list down the factors of 8944
:1,2,4,8,13,16,26,43,52,86,104,172,208,344,559,688,1118,2236,4472,8944
Now, list down the factors of 7016
:1,2,4,8,877,1754,3508,7016
Greatest Common Factor
We found the factors 8944,7016 . The biggest common factor number is the GCF number.
So the greatest common factor 8944,7016 is 8.
Lets's calculate LCM of 918,1850
| 2 | 918, 1850 |
| 459, 925 |
∴ So the LCM of the given numbers is 2 x 459 x 925 = 849150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/849150
Therefore, the GCF of Fractions 8944/918,7016/1850 is 8/849150
Least Common Multiple of 918,1850 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 918,1850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,1850) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(918,1850) x common factors =2 x 1 = 2
LCM(918,1850) = ( 918 × 1850 ) / 2
LCM(918,1850) = 1698300 / 2
LCM(918,1850) = 849150
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8944/918, 7016/1850
1. What is the HCF of 8944,7016?
The HCF of 8944,7016 is 8
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 8944/918, 7016/1850?
Answer: GCF of Numerators as per given numbers 8944/918, 7016/1850 is
GCF of Numerators i.e. for 8944,7016 is 8
LCM of denominators i.e. for 918,1850 is 849150.
Thus, GCF of Fractions is 8/849150.Finally, GCF of Fractions for 8944/918, 7016/1850 is 8/849150.