GCF of 890/13, 340/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 890/13, 340/741 i.e 10/741 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/13, 340/741.
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 890/13,340/741?
Given fractions are 890/13,340/741
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 890/13,340/741, numerators are 890,340
Denominators are 13,741
The GCF of 890,340 is 10 .
LCM of 13,741 is 741.
The greatest common factor of 890/13,340/741 = [GCF of 890,340]/[LCM of 13,741]= 10/741
Therefore, the GCF of 890/13,340/741 is 10/741.
To find the highest common factor of 890,340, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
The HCF of 890,340 is 10.
Lets's calculate GCF of 890,340
| 2 | 890, 340 |
| 5 | 445, 170 |
| 89, 34 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 890,340 By Matching Biggest Common Factor Method
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 340
:1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 890,340 . The biggest common factor number is the GCF number.
So the greatest common factor 890,340 is 10.
Lets's calculate LCM of 13,741
| 13 | 13, 741 |
| 1, 57 |
∴ So the LCM of the given numbers is 13 x 1 x 57 = 741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/741
Therefore, the GCF of Fractions 890/13,340/741 is 10/741
Least Common Multiple of 13,741 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 13,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,741) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(13,741) x common factors =13 x 1 = 13
LCM(13,741) = ( 13 × 741 ) / 13
LCM(13,741) = 9633 / 13
LCM(13,741) = 741
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FAQs on GCF of Fractions of 890/13, 340/741
1. What is the HCF of 890,340?
The HCF of 890,340 is 10
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 890/13, 340/741?
Answer: GCF of Numerators as per given numbers 890/13, 340/741 is
GCF of Numerators i.e. for 890,340 is 10
LCM of denominators i.e. for 13,741 is 741.
Thus, GCF of Fractions is 10/741.Finally, GCF of Fractions for 890/13, 340/741 is 10/741.