GCF of 5837/274, 2264/141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5837/274, 2264/141 i.e 1/38634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5837/274, 2264/141.
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 5837/274,2264/141?
Given fractions are 5837/274,2264/141
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 5837/274,2264/141, numerators are 5837,2264
Denominators are 274,141
The GCF of 5837,2264 is 1 .
LCM of 274,141 is 38634.
The greatest common factor of 5837/274,2264/141 = [GCF of 5837,2264]/[LCM of 274,141]= 1/38634
Therefore, the GCF of 5837/274,2264/141 is 1/38634.
To find the highest common factor of 5837,2264, we have to find the factors of both numbers and list the highest common factor.
The factors of 5837 are 1, 13, 449, 5837
The factors of 2264 are 1, 2, 4, 8, 283, 566, 1132, 2264
The HCF of 5837,2264 is 1.
Lets's calculate GCF of 5837,2264
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5837,2264 By Matching Biggest Common Factor Method
Now, list down the factors of 5837
:1,13,449,5837
Now, list down the factors of 2264
:1,2,4,8,283,566,1132,2264
Greatest Common Factor
We found the factors 5837,2264 . The biggest common factor number is the GCF number.
So the greatest common factor 5837,2264 is 1.
Lets's calculate LCM of 274,141
Given numbers has no common factors except 1. So, there LCM is their product i.e 38634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38634
Therefore, the GCF of Fractions 5837/274,2264/141 is 1/38634
Least Common Multiple of 274,141 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 274,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(274,141) x common factors =1 x 1 = 1
LCM(274,141) = ( 274 × 141 ) / 1
LCM(274,141) = 38634 / 1
LCM(274,141) = 38634
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FAQs on GCF of Fractions of 5837/274, 2264/141
1. What is the HCF of 5837,2264?
The HCF of 5837,2264 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 5837/274, 2264/141?
Answer: GCF of Numerators as per given numbers 5837/274, 2264/141 is
GCF of Numerators i.e. for 5837,2264 is 1
LCM of denominators i.e. for 274,141 is 38634.
Thus, GCF of Fractions is 1/38634.Finally, GCF of Fractions for 5837/274, 2264/141 is 1/38634.