GCF of 3401/596, 5018/466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3401/596, 5018/466 i.e 1/138868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3401/596, 5018/466.
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 3401/596,5018/466?
Given fractions are 3401/596,5018/466
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 3401/596,5018/466, numerators are 3401,5018
Denominators are 596,466
The GCF of 3401,5018 is 1 .
LCM of 596,466 is 138868.
The greatest common factor of 3401/596,5018/466 = [GCF of 3401,5018]/[LCM of 596,466]= 1/138868
Therefore, the GCF of 3401/596,5018/466 is 1/138868.
To find the highest common factor of 3401,5018, we have to find the factors of both numbers and list the highest common factor.
The factors of 3401 are 1, 19, 179, 3401
The factors of 5018 are 1, 2, 13, 26, 193, 386, 2509, 5018
The HCF of 3401,5018 is 1.
Lets's calculate GCF of 3401,5018
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3401,5018 By Matching Biggest Common Factor Method
Now, list down the factors of 3401
:1,19,179,3401
Now, list down the factors of 5018
:1,2,13,26,193,386,2509,5018
Greatest Common Factor
We found the factors 3401,5018 . The biggest common factor number is the GCF number.
So the greatest common factor 3401,5018 is 1.
Lets's calculate LCM of 596,466
| 2 | 596, 466 |
| 298, 233 |
∴ So the LCM of the given numbers is 2 x 298 x 233 = 138868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138868
Therefore, the GCF of Fractions 3401/596,5018/466 is 1/138868
Least Common Multiple of 596,466 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 596,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,466) x common factors =2 x 1 = 2
LCM(596,466) = ( 596 × 466 ) / 2
LCM(596,466) = 277736 / 2
LCM(596,466) = 138868
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FAQs on GCF of Fractions of 3401/596, 5018/466
1. What is the HCF of 3401,5018?
The HCF of 3401,5018 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 3401/596, 5018/466?
Answer: GCF of Numerators as per given numbers 3401/596, 5018/466 is
GCF of Numerators i.e. for 3401,5018 is 1
LCM of denominators i.e. for 596,466 is 138868.
Thus, GCF of Fractions is 1/138868.Finally, GCF of Fractions for 3401/596, 5018/466 is 1/138868.