GCF of 5348/201, 3438/1729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5348/201, 3438/1729 i.e 382/347529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5348/201, 3438/1729.
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 5348/201,3438/1729?
Given fractions are 5348/201,3438/1729
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 5348/201,3438/1729, numerators are 5348,3438
Denominators are 201,1729
The GCF of 5348,3438 is 382 .
LCM of 201,1729 is 347529.
The greatest common factor of 5348/201,3438/1729 = [GCF of 5348,3438]/[LCM of 201,1729]= 382/347529
Therefore, the GCF of 5348/201,3438/1729 is 382/347529.
To find the highest common factor of 5348,3438, we have to find the factors of both numbers and list the highest common factor.
The factors of 5348 are 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348
The factors of 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438
The HCF of 5348,3438 is 382.
Lets's calculate GCF of 5348,3438
| 2 | 5348, 3438 |
| 191 | 2674, 1719 |
| 14, 9 |
∴ So the GCF of the given numbers is 2 x 191 = 382
Greatest Common Factor of 5348,3438 By Matching Biggest Common Factor Method
Now, list down the factors of 5348
:1,2,4,7,14,28,191,382,764,1337,2674,5348
Now, list down the factors of 3438
:1,2,3,6,9,18,191,382,573,1146,1719,3438
Greatest Common Factor
We found the factors 5348,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 5348,3438 is 382.
Lets's calculate LCM of 201,1729
Given numbers has no common factors except 1. So, there LCM is their product i.e 347529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 382/347529
Therefore, the GCF of Fractions 5348/201,3438/1729 is 382/347529
Least Common Multiple of 201,1729 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 201,1729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,1729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,1729) x common factors =1 x 1 = 1
LCM(201,1729) = ( 201 × 1729 ) / 1
LCM(201,1729) = 347529 / 1
LCM(201,1729) = 347529
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FAQs on GCF of Fractions of 5348/201, 3438/1729
1. What is the HCF of 5348,3438?
The HCF of 5348,3438 is 382
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 5348/201, 3438/1729?
Answer: GCF of Numerators as per given numbers 5348/201, 3438/1729 is
GCF of Numerators i.e. for 5348,3438 is 382
LCM of denominators i.e. for 201,1729 is 347529.
Thus, GCF of Fractions is 382/347529.Finally, GCF of Fractions for 5348/201, 3438/1729 is 382/347529.