GCF of 334/14, 658/931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 334/14, 658/931 i.e 2/1862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 334/14, 658/931.
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 334/14,658/931?
Given fractions are 334/14,658/931
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 334/14,658/931, numerators are 334,658
Denominators are 14,931
The GCF of 334,658 is 2 .
LCM of 14,931 is 1862.
The greatest common factor of 334/14,658/931 = [GCF of 334,658]/[LCM of 14,931]= 2/1862
Therefore, the GCF of 334/14,658/931 is 2/1862.
To find the highest common factor of 334,658, we have to find the factors of both numbers and list the highest common factor.
The factors of 334 are 1, 2, 167, 334
The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658
The HCF of 334,658 is 2.
Lets's calculate GCF of 334,658
| 2 | 334, 658 |
| 167, 329 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 334,658 By Matching Biggest Common Factor Method
Now, list down the factors of 334
:1,2,167,334
Now, list down the factors of 658
:1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 334,658 . The biggest common factor number is the GCF number.
So the greatest common factor 334,658 is 2.
Lets's calculate LCM of 14,931
| 7 | 14, 931 |
| 2, 133 |
∴ So the LCM of the given numbers is 7 x 2 x 133 = 1862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1862
Therefore, the GCF of Fractions 334/14,658/931 is 2/1862
Least Common Multiple of 14,931 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 14,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,931) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(14,931) x common factors =7 x 1 = 7
LCM(14,931) = ( 14 × 931 ) / 7
LCM(14,931) = 13034 / 7
LCM(14,931) = 1862
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FAQs on GCF of Fractions of 334/14, 658/931
1. What is the HCF of 334,658?
The HCF of 334,658 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 334/14, 658/931?
Answer: GCF of Numerators as per given numbers 334/14, 658/931 is
GCF of Numerators i.e. for 334,658 is 2
LCM of denominators i.e. for 14,931 is 1862.
Thus, GCF of Fractions is 2/1862.Finally, GCF of Fractions for 334/14, 658/931 is 2/1862.