GCF of 1645/940, 3640/1926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1645/940, 3640/1926 i.e 35/905220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1645/940, 3640/1926.
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 1645/940,3640/1926?
Given fractions are 1645/940,3640/1926
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 1645/940,3640/1926, numerators are 1645,3640
Denominators are 940,1926
The GCF of 1645,3640 is 35 .
LCM of 940,1926 is 905220.
The greatest common factor of 1645/940,3640/1926 = [GCF of 1645,3640]/[LCM of 940,1926]= 35/905220
Therefore, the GCF of 1645/940,3640/1926 is 35/905220.
To find the highest common factor of 1645,3640, we have to find the factors of both numbers and list the highest common factor.
The factors of 1645 are 1, 5, 7, 35, 47, 235, 329, 1645
The factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640
The HCF of 1645,3640 is 35.
Lets's calculate GCF of 1645,3640
| 5 | 1645, 3640 |
| 7 | 329, 728 |
| 47, 104 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 1645,3640 By Matching Biggest Common Factor Method
Now, list down the factors of 1645
:1,5,7,35,47,235,329,1645
Now, list down the factors of 3640
:1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640
Greatest Common Factor
We found the factors 1645,3640 . The biggest common factor number is the GCF number.
So the greatest common factor 1645,3640 is 35.
Lets's calculate LCM of 940,1926
| 2 | 940, 1926 |
| 470, 963 |
∴ So the LCM of the given numbers is 2 x 470 x 963 = 905220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/905220
Therefore, the GCF of Fractions 1645/940,3640/1926 is 35/905220
Least Common Multiple of 940,1926 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 940,1926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,1926) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(940,1926) x common factors =2 x 1 = 2
LCM(940,1926) = ( 940 × 1926 ) / 2
LCM(940,1926) = 1810440 / 2
LCM(940,1926) = 905220
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FAQs on GCF of Fractions of 1645/940, 3640/1926
1. What is the HCF of 1645,3640?
The HCF of 1645,3640 is 35
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 1645/940, 3640/1926?
Answer: GCF of Numerators as per given numbers 1645/940, 3640/1926 is
GCF of Numerators i.e. for 1645,3640 is 35
LCM of denominators i.e. for 940,1926 is 905220.
Thus, GCF of Fractions is 35/905220.Finally, GCF of Fractions for 1645/940, 3640/1926 is 35/905220.