GCF of 340/376, 849/394
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 340/376, 849/394 i.e 1/74072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 340/376, 849/394.
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 340/376,849/394?
Given fractions are 340/376,849/394
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 340/376,849/394, numerators are 340,849
Denominators are 376,394
The GCF of 340,849 is 1 .
LCM of 376,394 is 74072.
The greatest common factor of 340/376,849/394 = [GCF of 340,849]/[LCM of 376,394]= 1/74072
Therefore, the GCF of 340/376,849/394 is 1/74072.
To find the highest common factor of 340,849, we have to find the factors of both numbers and list the highest common factor.
The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
The factors of 849 are 1, 3, 283, 849
The HCF of 340,849 is 1.
Lets's calculate GCF of 340,849
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 340,849 By Matching Biggest Common Factor Method
Now, list down the factors of 340
:1,2,4,5,10,17,20,34,68,85,170,340
Now, list down the factors of 849
:1,3,283,849
Greatest Common Factor
We found the factors 340,849 . The biggest common factor number is the GCF number.
So the greatest common factor 340,849 is 1.
Lets's calculate LCM of 376,394
| 2 | 376, 394 |
| 188, 197 |
∴ So the LCM of the given numbers is 2 x 188 x 197 = 74072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74072
Therefore, the GCF of Fractions 340/376,849/394 is 1/74072
Least Common Multiple of 376,394 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 376,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,394) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(376,394) x common factors =2 x 1 = 2
LCM(376,394) = ( 376 × 394 ) / 2
LCM(376,394) = 148144 / 2
LCM(376,394) = 74072
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FAQs on GCF of Fractions of 340/376, 849/394
1. What is the HCF of 340,849?
The HCF of 340,849 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 340/376, 849/394?
Answer: GCF of Numerators as per given numbers 340/376, 849/394 is
GCF of Numerators i.e. for 340,849 is 1
LCM of denominators i.e. for 376,394 is 74072.
Thus, GCF of Fractions is 1/74072.Finally, GCF of Fractions for 340/376, 849/394 is 1/74072.