GCF of 764/866, 1600/218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 764/866, 1600/218 i.e 4/94394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 764/866, 1600/218.
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 764/866,1600/218?
Given fractions are 764/866,1600/218
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 764/866,1600/218, numerators are 764,1600
Denominators are 866,218
The GCF of 764,1600 is 4 .
LCM of 866,218 is 94394.
The greatest common factor of 764/866,1600/218 = [GCF of 764,1600]/[LCM of 866,218]= 4/94394
Therefore, the GCF of 764/866,1600/218 is 4/94394.
To find the highest common factor of 764,1600, we have to find the factors of both numbers and list the highest common factor.
The factors of 764 are 1, 2, 4, 191, 382, 764
The factors of 1600 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600
The HCF of 764,1600 is 4.
Lets's calculate GCF of 764,1600
| 2 | 764, 1600 |
| 2 | 382, 800 |
| 191, 400 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 764,1600 By Matching Biggest Common Factor Method
Now, list down the factors of 764
:1,2,4,191,382,764
Now, list down the factors of 1600
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,160,200,320,400,800,1600
Greatest Common Factor
We found the factors 764,1600 . The biggest common factor number is the GCF number.
So the greatest common factor 764,1600 is 4.
Lets's calculate LCM of 866,218
| 2 | 866, 218 |
| 433, 109 |
∴ So the LCM of the given numbers is 2 x 433 x 109 = 94394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/94394
Therefore, the GCF of Fractions 764/866,1600/218 is 4/94394
Least Common Multiple of 866,218 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 866,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,218) x common factors =2 x 1 = 2
LCM(866,218) = ( 866 × 218 ) / 2
LCM(866,218) = 188788 / 2
LCM(866,218) = 94394
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FAQs on GCF of Fractions of 764/866, 1600/218
1. What is the HCF of 764,1600?
The HCF of 764,1600 is 4
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 764/866, 1600/218?
Answer: GCF of Numerators as per given numbers 764/866, 1600/218 is
GCF of Numerators i.e. for 764,1600 is 4
LCM of denominators i.e. for 866,218 is 94394.
Thus, GCF of Fractions is 4/94394.Finally, GCF of Fractions for 764/866, 1600/218 is 4/94394.