GCF of 3838/910, 6189/8963
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3838/910, 6189/8963 i.e 1/8156330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3838/910, 6189/8963.
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 3838/910,6189/8963?
Given fractions are 3838/910,6189/8963
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 3838/910,6189/8963, numerators are 3838,6189
Denominators are 910,8963
The GCF of 3838,6189 is 1 .
LCM of 910,8963 is 8156330.
The greatest common factor of 3838/910,6189/8963 = [GCF of 3838,6189]/[LCM of 910,8963]= 1/8156330
Therefore, the GCF of 3838/910,6189/8963 is 1/8156330.
To find the highest common factor of 3838,6189, we have to find the factors of both numbers and list the highest common factor.
The factors of 3838 are 1, 2, 19, 38, 101, 202, 1919, 3838
The factors of 6189 are 1, 3, 2063, 6189
The HCF of 3838,6189 is 1.
Lets's calculate GCF of 3838,6189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3838,6189 By Matching Biggest Common Factor Method
Now, list down the factors of 3838
:1,2,19,38,101,202,1919,3838
Now, list down the factors of 6189
:1,3,2063,6189
Greatest Common Factor
We found the factors 3838,6189 . The biggest common factor number is the GCF number.
So the greatest common factor 3838,6189 is 1.
Lets's calculate LCM of 910,8963
Given numbers has no common factors except 1. So, there LCM is their product i.e 8156330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8156330
Therefore, the GCF of Fractions 3838/910,6189/8963 is 1/8156330
Least Common Multiple of 910,8963 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 910,8963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,8963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(910,8963) x common factors =1 x 1 = 1
LCM(910,8963) = ( 910 × 8963 ) / 1
LCM(910,8963) = 8156330 / 1
LCM(910,8963) = 8156330
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FAQs on GCF of Fractions of 3838/910, 6189/8963
1. What is the HCF of 3838,6189?
The HCF of 3838,6189 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 3838/910, 6189/8963?
Answer: GCF of Numerators as per given numbers 3838/910, 6189/8963 is
GCF of Numerators i.e. for 3838,6189 is 1
LCM of denominators i.e. for 910,8963 is 8156330.
Thus, GCF of Fractions is 1/8156330.Finally, GCF of Fractions for 3838/910, 6189/8963 is 1/8156330.