GCF of 1940/830, 1040/666
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1940/830, 1040/666 i.e 20/276390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1940/830, 1040/666.
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 1940/830,1040/666?
Given fractions are 1940/830,1040/666
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 1940/830,1040/666, numerators are 1940,1040
Denominators are 830,666
The GCF of 1940,1040 is 20 .
LCM of 830,666 is 276390.
The greatest common factor of 1940/830,1040/666 = [GCF of 1940,1040]/[LCM of 830,666]= 20/276390
Therefore, the GCF of 1940/830,1040/666 is 20/276390.
To find the highest common factor of 1940,1040, we have to find the factors of both numbers and list the highest common factor.
The factors of 1940 are 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940
The factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040
The HCF of 1940,1040 is 20.
Lets's calculate GCF of 1940,1040
| 2 | 1940, 1040 |
| 2 | 970, 520 |
| 5 | 485, 260 |
| 97, 52 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 1940,1040 By Matching Biggest Common Factor Method
Now, list down the factors of 1940
:1,2,4,5,10,20,97,194,388,485,970,1940
Now, list down the factors of 1040
:1,2,4,5,8,10,13,16,20,26,40,52,65,80,104,130,208,260,520,1040
Greatest Common Factor
We found the factors 1940,1040 . The biggest common factor number is the GCF number.
So the greatest common factor 1940,1040 is 20.
Lets's calculate LCM of 830,666
| 2 | 830, 666 |
| 415, 333 |
∴ So the LCM of the given numbers is 2 x 415 x 333 = 276390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/276390
Therefore, the GCF of Fractions 1940/830,1040/666 is 20/276390
Least Common Multiple of 830,666 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 830,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,666) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(830,666) x common factors =2 x 1 = 2
LCM(830,666) = ( 830 × 666 ) / 2
LCM(830,666) = 552780 / 2
LCM(830,666) = 276390
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FAQs on GCF of Fractions of 1940/830, 1040/666
1. What is the HCF of 1940,1040?
The HCF of 1940,1040 is 20
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 1940/830, 1040/666?
Answer: GCF of Numerators as per given numbers 1940/830, 1040/666 is
GCF of Numerators i.e. for 1940,1040 is 20
LCM of denominators i.e. for 830,666 is 276390.
Thus, GCF of Fractions is 20/276390.Finally, GCF of Fractions for 1940/830, 1040/666 is 20/276390.