GCF of 5857/274, 1197/350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5857/274, 1197/350 i.e 1/47950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5857/274, 1197/350.
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 5857/274,1197/350?
Given fractions are 5857/274,1197/350
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 5857/274,1197/350, numerators are 5857,1197
Denominators are 274,350
The GCF of 5857,1197 is 1 .
LCM of 274,350 is 47950.
The greatest common factor of 5857/274,1197/350 = [GCF of 5857,1197]/[LCM of 274,350]= 1/47950
Therefore, the GCF of 5857/274,1197/350 is 1/47950.
To find the highest common factor of 5857,1197, we have to find the factors of both numbers and list the highest common factor.
The factors of 5857 are 1, 5857
The factors of 1197 are 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197
The HCF of 5857,1197 is 1.
Lets's calculate GCF of 5857,1197
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5857,1197 By Matching Biggest Common Factor Method
Now, list down the factors of 5857
:1,5857
Now, list down the factors of 1197
:1,3,7,9,19,21,57,63,133,171,399,1197
Greatest Common Factor
We found the factors 5857,1197 . The biggest common factor number is the GCF number.
So the greatest common factor 5857,1197 is 1.
Lets's calculate LCM of 274,350
| 2 | 274, 350 |
| 137, 175 |
∴ So the LCM of the given numbers is 2 x 137 x 175 = 47950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47950
Therefore, the GCF of Fractions 5857/274,1197/350 is 1/47950
Least Common Multiple of 274,350 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 274,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,350) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,350) x common factors =2 x 1 = 2
LCM(274,350) = ( 274 × 350 ) / 2
LCM(274,350) = 95900 / 2
LCM(274,350) = 47950
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FAQs on GCF of Fractions of 5857/274, 1197/350
1. What is the HCF of 5857,1197?
The HCF of 5857,1197 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 5857/274, 1197/350?
Answer: GCF of Numerators as per given numbers 5857/274, 1197/350 is
GCF of Numerators i.e. for 5857,1197 is 1
LCM of denominators i.e. for 274,350 is 47950.
Thus, GCF of Fractions is 1/47950.Finally, GCF of Fractions for 5857/274, 1197/350 is 1/47950.