GCF of 3356/194, 3257/4762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3356/194, 3257/4762 i.e 1/461914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3356/194, 3257/4762.
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 3356/194,3257/4762?
Given fractions are 3356/194,3257/4762
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 3356/194,3257/4762, numerators are 3356,3257
Denominators are 194,4762
The GCF of 3356,3257 is 1 .
LCM of 194,4762 is 461914.
The greatest common factor of 3356/194,3257/4762 = [GCF of 3356,3257]/[LCM of 194,4762]= 1/461914
Therefore, the GCF of 3356/194,3257/4762 is 1/461914.
To find the highest common factor of 3356,3257, we have to find the factors of both numbers and list the highest common factor.
The factors of 3356 are 1, 2, 4, 839, 1678, 3356
The factors of 3257 are 1, 3257
The HCF of 3356,3257 is 1.
Lets's calculate GCF of 3356,3257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3356,3257 By Matching Biggest Common Factor Method
Now, list down the factors of 3356
:1,2,4,839,1678,3356
Now, list down the factors of 3257
:1,3257
Greatest Common Factor
We found the factors 3356,3257 . The biggest common factor number is the GCF number.
So the greatest common factor 3356,3257 is 1.
Lets's calculate LCM of 194,4762
| 2 | 194, 4762 |
| 97, 2381 |
∴ So the LCM of the given numbers is 2 x 97 x 2381 = 461914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/461914
Therefore, the GCF of Fractions 3356/194,3257/4762 is 1/461914
Least Common Multiple of 194,4762 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 194,4762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,4762) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,4762) x common factors =2 x 1 = 2
LCM(194,4762) = ( 194 × 4762 ) / 2
LCM(194,4762) = 923828 / 2
LCM(194,4762) = 461914
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FAQs on GCF of Fractions of 3356/194, 3257/4762
1. What is the HCF of 3356,3257?
The HCF of 3356,3257 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 3356/194, 3257/4762?
Answer: GCF of Numerators as per given numbers 3356/194, 3257/4762 is
GCF of Numerators i.e. for 3356,3257 is 1
LCM of denominators i.e. for 194,4762 is 461914.
Thus, GCF of Fractions is 1/461914.Finally, GCF of Fractions for 3356/194, 3257/4762 is 1/461914.