GCF of 1918/694, 2150/8512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1918/694, 2150/8512 i.e 2/2953664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1918/694, 2150/8512.
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 1918/694,2150/8512?
Given fractions are 1918/694,2150/8512
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 1918/694,2150/8512, numerators are 1918,2150
Denominators are 694,8512
The GCF of 1918,2150 is 2 .
LCM of 694,8512 is 2953664.
The greatest common factor of 1918/694,2150/8512 = [GCF of 1918,2150]/[LCM of 694,8512]= 2/2953664
Therefore, the GCF of 1918/694,2150/8512 is 2/2953664.
To find the highest common factor of 1918,2150, we have to find the factors of both numbers and list the highest common factor.
The factors of 1918 are 1, 2, 7, 14, 137, 274, 959, 1918
The factors of 2150 are 1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 2150
The HCF of 1918,2150 is 2.
Lets's calculate GCF of 1918,2150
| 2 | 1918, 2150 |
| 959, 1075 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1918,2150 By Matching Biggest Common Factor Method
Now, list down the factors of 1918
:1,2,7,14,137,274,959,1918
Now, list down the factors of 2150
:1,2,5,10,25,43,50,86,215,430,1075,2150
Greatest Common Factor
We found the factors 1918,2150 . The biggest common factor number is the GCF number.
So the greatest common factor 1918,2150 is 2.
Lets's calculate LCM of 694,8512
| 2 | 694, 8512 |
| 347, 4256 |
∴ So the LCM of the given numbers is 2 x 347 x 4256 = 2953664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2953664
Therefore, the GCF of Fractions 1918/694,2150/8512 is 2/2953664
Least Common Multiple of 694,8512 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 694,8512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,8512) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(694,8512) x common factors =2 x 1 = 2
LCM(694,8512) = ( 694 × 8512 ) / 2
LCM(694,8512) = 5907328 / 2
LCM(694,8512) = 2953664
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FAQs on GCF of Fractions of 1918/694, 2150/8512
1. What is the HCF of 1918,2150?
The HCF of 1918,2150 is 2
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 1918/694, 2150/8512?
Answer: GCF of Numerators as per given numbers 1918/694, 2150/8512 is
GCF of Numerators i.e. for 1918,2150 is 2
LCM of denominators i.e. for 694,8512 is 2953664.
Thus, GCF of Fractions is 2/2953664.Finally, GCF of Fractions for 1918/694, 2150/8512 is 2/2953664.