GCF of 346/978, 6834/398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 346/978, 6834/398 i.e 2/194622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 346/978, 6834/398.
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 346/978,6834/398?
Given fractions are 346/978,6834/398
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 346/978,6834/398, numerators are 346,6834
Denominators are 978,398
The GCF of 346,6834 is 2 .
LCM of 978,398 is 194622.
The greatest common factor of 346/978,6834/398 = [GCF of 346,6834]/[LCM of 978,398]= 2/194622
Therefore, the GCF of 346/978,6834/398 is 2/194622.
To find the highest common factor of 346,6834, we have to find the factors of both numbers and list the highest common factor.
The factors of 346 are 1, 2, 173, 346
The factors of 6834 are 1, 2, 3, 6, 17, 34, 51, 67, 102, 134, 201, 402, 1139, 2278, 3417, 6834
The HCF of 346,6834 is 2.
Lets's calculate GCF of 346,6834
| 2 | 346, 6834 |
| 173, 3417 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 346,6834 By Matching Biggest Common Factor Method
Now, list down the factors of 346
:1,2,173,346
Now, list down the factors of 6834
:1,2,3,6,17,34,51,67,102,134,201,402,1139,2278,3417,6834
Greatest Common Factor
We found the factors 346,6834 . The biggest common factor number is the GCF number.
So the greatest common factor 346,6834 is 2.
Lets's calculate LCM of 978,398
| 2 | 978, 398 |
| 489, 199 |
∴ So the LCM of the given numbers is 2 x 489 x 199 = 194622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/194622
Therefore, the GCF of Fractions 346/978,6834/398 is 2/194622
Least Common Multiple of 978,398 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 978,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,398) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,398) x common factors =2 x 1 = 2
LCM(978,398) = ( 978 × 398 ) / 2
LCM(978,398) = 389244 / 2
LCM(978,398) = 194622
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FAQs on GCF of Fractions of 346/978, 6834/398
1. What is the HCF of 346,6834?
The HCF of 346,6834 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 346/978, 6834/398?
Answer: GCF of Numerators as per given numbers 346/978, 6834/398 is
GCF of Numerators i.e. for 346,6834 is 2
LCM of denominators i.e. for 978,398 is 194622.
Thus, GCF of Fractions is 2/194622.Finally, GCF of Fractions for 346/978, 6834/398 is 2/194622.