GCF of 5401/191, 8140/5903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5401/191, 8140/5903 i.e 11/1127473 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5401/191, 8140/5903.
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 5401/191,8140/5903?
Given fractions are 5401/191,8140/5903
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 5401/191,8140/5903, numerators are 5401,8140
Denominators are 191,5903
The GCF of 5401,8140 is 11 .
LCM of 191,5903 is 1127473.
The greatest common factor of 5401/191,8140/5903 = [GCF of 5401,8140]/[LCM of 191,5903]= 11/1127473
Therefore, the GCF of 5401/191,8140/5903 is 11/1127473.
To find the highest common factor of 5401,8140, we have to find the factors of both numbers and list the highest common factor.
The factors of 5401 are 1, 11, 491, 5401
The factors of 8140 are 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140
The HCF of 5401,8140 is 11.
Lets's calculate GCF of 5401,8140
| 11 | 5401, 8140 |
| 491, 740 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5401,8140 By Matching Biggest Common Factor Method
Now, list down the factors of 5401
:1,11,491,5401
Now, list down the factors of 8140
:1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140
Greatest Common Factor
We found the factors 5401,8140 . The biggest common factor number is the GCF number.
So the greatest common factor 5401,8140 is 11.
Lets's calculate LCM of 191,5903
Given numbers has no common factors except 1. So, there LCM is their product i.e 1127473
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1127473
Therefore, the GCF of Fractions 5401/191,8140/5903 is 11/1127473
Least Common Multiple of 191,5903 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 191,5903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,5903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,5903) x common factors =1 x 1 = 1
LCM(191,5903) = ( 191 × 5903 ) / 1
LCM(191,5903) = 1127473 / 1
LCM(191,5903) = 1127473
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FAQs on GCF of Fractions of 5401/191, 8140/5903
1. What is the HCF of 5401,8140?
The HCF of 5401,8140 is 11
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 5401/191, 8140/5903?
Answer: GCF of Numerators as per given numbers 5401/191, 8140/5903 is
GCF of Numerators i.e. for 5401,8140 is 11
LCM of denominators i.e. for 191,5903 is 1127473.
Thus, GCF of Fractions is 11/1127473.Finally, GCF of Fractions for 5401/191, 8140/5903 is 11/1127473.