GCF of 1855/337, 4901/5709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1855/337, 4901/5709 i.e 1/1923933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1855/337, 4901/5709.
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 1855/337,4901/5709?
Given fractions are 1855/337,4901/5709
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 1855/337,4901/5709, numerators are 1855,4901
Denominators are 337,5709
The GCF of 1855,4901 is 1 .
LCM of 337,5709 is 1923933.
The greatest common factor of 1855/337,4901/5709 = [GCF of 1855,4901]/[LCM of 337,5709]= 1/1923933
Therefore, the GCF of 1855/337,4901/5709 is 1/1923933.
To find the highest common factor of 1855,4901, we have to find the factors of both numbers and list the highest common factor.
The factors of 1855 are 1, 5, 7, 35, 53, 265, 371, 1855
The factors of 4901 are 1, 13, 29, 169, 377, 4901
The HCF of 1855,4901 is 1.
Lets's calculate GCF of 1855,4901
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1855,4901 By Matching Biggest Common Factor Method
Now, list down the factors of 1855
:1,5,7,35,53,265,371,1855
Now, list down the factors of 4901
:1,13,29,169,377,4901
Greatest Common Factor
We found the factors 1855,4901 . The biggest common factor number is the GCF number.
So the greatest common factor 1855,4901 is 1.
Lets's calculate LCM of 337,5709
Given numbers has no common factors except 1. So, there LCM is their product i.e 1923933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1923933
Therefore, the GCF of Fractions 1855/337,4901/5709 is 1/1923933
Least Common Multiple of 337,5709 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 337,5709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,5709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,5709) x common factors =1 x 1 = 1
LCM(337,5709) = ( 337 × 5709 ) / 1
LCM(337,5709) = 1923933 / 1
LCM(337,5709) = 1923933
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FAQs on GCF of Fractions of 1855/337, 4901/5709
1. What is the HCF of 1855,4901?
The HCF of 1855,4901 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 1855/337, 4901/5709?
Answer: GCF of Numerators as per given numbers 1855/337, 4901/5709 is
GCF of Numerators i.e. for 1855,4901 is 1
LCM of denominators i.e. for 337,5709 is 1923933.
Thus, GCF of Fractions is 1/1923933.Finally, GCF of Fractions for 1855/337, 4901/5709 is 1/1923933.