GCF of 1847/617, 5238/5674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1847/617, 5238/5674 i.e 1/3500858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1847/617, 5238/5674.
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 1847/617,5238/5674?
Given fractions are 1847/617,5238/5674
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 1847/617,5238/5674, numerators are 1847,5238
Denominators are 617,5674
The GCF of 1847,5238 is 1 .
LCM of 617,5674 is 3500858.
The greatest common factor of 1847/617,5238/5674 = [GCF of 1847,5238]/[LCM of 617,5674]= 1/3500858
Therefore, the GCF of 1847/617,5238/5674 is 1/3500858.
To find the highest common factor of 1847,5238, we have to find the factors of both numbers and list the highest common factor.
The factors of 1847 are 1, 1847
The factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238
The HCF of 1847,5238 is 1.
Lets's calculate GCF of 1847,5238
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1847,5238 By Matching Biggest Common Factor Method
Now, list down the factors of 1847
:1,1847
Now, list down the factors of 5238
:1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238
Greatest Common Factor
We found the factors 1847,5238 . The biggest common factor number is the GCF number.
So the greatest common factor 1847,5238 is 1.
Lets's calculate LCM of 617,5674
Given numbers has no common factors except 1. So, there LCM is their product i.e 3500858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3500858
Therefore, the GCF of Fractions 1847/617,5238/5674 is 1/3500858
Least Common Multiple of 617,5674 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 617,5674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,5674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,5674) x common factors =1 x 1 = 1
LCM(617,5674) = ( 617 × 5674 ) / 1
LCM(617,5674) = 3500858 / 1
LCM(617,5674) = 3500858
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FAQs on GCF of Fractions of 1847/617, 5238/5674
1. What is the HCF of 1847,5238?
The HCF of 1847,5238 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 1847/617, 5238/5674?
Answer: GCF of Numerators as per given numbers 1847/617, 5238/5674 is
GCF of Numerators i.e. for 1847,5238 is 1
LCM of denominators i.e. for 617,5674 is 3500858.
Thus, GCF of Fractions is 1/3500858.Finally, GCF of Fractions for 1847/617, 5238/5674 is 1/3500858.