GCF of 940/98, 297/10, 385/940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 940/98, 297/10, 385/940 i.e 1/46060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/98, 297/10, 385/940.
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 940/98,297/10,385/940?
Given fractions are 940/98,297/10,385/940
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 940/98,297/10,385/940, numerators are 940,297,385
Denominators are 98,10,940
The GCF of 940,297,385 is 1 .
LCM of 98,10,940 is 46060.
The greatest common factor of 940/98,297/10,385/940 = [GCF of 940,297,385]/[LCM of 98,10,940]= 1/46060
Therefore, the GCF of 940/98,297/10,385/940 is 1/46060.
To find the highest common factor of 940,297,385, we have to find the factors of both numbers and list the highest common factor.
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The HCF of 940,297,385 is 1.
Lets's calculate GCF of 940,297,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 940,297,385 By Matching Biggest Common Factor Method
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Now, list down the factors of 297
:1,3,9,11,27,33,99,297
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 940,297,385 . The biggest common factor number is the GCF number.
So the greatest common factor 940,297,385 is 1.
Lets's calculate LCM of 98,10,940
| 2 | 98, 10, 940 |
| 5 | 49, 5, 470 |
| 49, 1, 94 |
∴ So the LCM of the given numbers is 2 x 5 x 49 x 1 x 94 = 46060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46060
Therefore, the GCF of Fractions 940/98,297/10,385/940 is 1/46060
Least Common Multiple of 98,10,940 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 98,10,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,10,940) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(98,10,940) x common factors =2 x 10 = 20
LCM(98,10,940) = ( 98 × 10 × 940 ) / 20
LCM(98,10,940) = 921200 / 20
LCM(98,10,940) = 46060
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FAQs on GCF of Fractions of 940/98, 297/10, 385/940
1. What is the HCF of 940,297,385?
The HCF of 940,297,385 is 1
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 940/98, 297/10, 385/940?
Answer: GCF of Numerators as per given numbers 940/98, 297/10, 385/940 is
GCF of Numerators i.e. for 940,297,385 is 1
LCM of denominators i.e. for 98,10,940 is 46060.
Thus, GCF of Fractions is 1/46060.Finally, GCF of Fractions for 940/98, 297/10, 385/940 is 1/46060.