GCF of 394/110, 9020/1740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 394/110, 9020/1740 i.e 2/19140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 394/110, 9020/1740.
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 394/110,9020/1740?
Given fractions are 394/110,9020/1740
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 394/110,9020/1740, numerators are 394,9020
Denominators are 110,1740
The GCF of 394,9020 is 2 .
LCM of 110,1740 is 19140.
The greatest common factor of 394/110,9020/1740 = [GCF of 394,9020]/[LCM of 110,1740]= 2/19140
Therefore, the GCF of 394/110,9020/1740 is 2/19140.
To find the highest common factor of 394,9020, we have to find the factors of both numbers and list the highest common factor.
The factors of 394 are 1, 2, 197, 394
The factors of 9020 are 1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510, 9020
The HCF of 394,9020 is 2.
Lets's calculate GCF of 394,9020
| 2 | 394, 9020 |
| 197, 4510 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 394,9020 By Matching Biggest Common Factor Method
Now, list down the factors of 394
:1,2,197,394
Now, list down the factors of 9020
:1,2,4,5,10,11,20,22,41,44,55,82,110,164,205,220,410,451,820,902,1804,2255,4510,9020
Greatest Common Factor
We found the factors 394,9020 . The biggest common factor number is the GCF number.
So the greatest common factor 394,9020 is 2.
Lets's calculate LCM of 110,1740
| 2 | 110, 1740 |
| 5 | 55, 870 |
| 11, 174 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 174 = 19140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19140
Therefore, the GCF of Fractions 394/110,9020/1740 is 2/19140
Least Common Multiple of 110,1740 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 110,1740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,1740) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(110,1740) x common factors =10 x 1 = 10
LCM(110,1740) = ( 110 × 1740 ) / 10
LCM(110,1740) = 191400 / 10
LCM(110,1740) = 19140
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FAQs on GCF of Fractions of 394/110, 9020/1740
1. What is the HCF of 394,9020?
The HCF of 394,9020 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 394/110, 9020/1740?
Answer: GCF of Numerators as per given numbers 394/110, 9020/1740 is
GCF of Numerators i.e. for 394,9020 is 2
LCM of denominators i.e. for 110,1740 is 19140.
Thus, GCF of Fractions is 2/19140.Finally, GCF of Fractions for 394/110, 9020/1740 is 2/19140.