GCF of 5401/754, 4115/5990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5401/754, 4115/5990 i.e 1/2258230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5401/754, 4115/5990.
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 5401/754,4115/5990?
Given fractions are 5401/754,4115/5990
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 5401/754,4115/5990, numerators are 5401,4115
Denominators are 754,5990
The GCF of 5401,4115 is 1 .
LCM of 754,5990 is 2258230.
The greatest common factor of 5401/754,4115/5990 = [GCF of 5401,4115]/[LCM of 754,5990]= 1/2258230
Therefore, the GCF of 5401/754,4115/5990 is 1/2258230.
To find the highest common factor of 5401,4115, 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 4115 are 1, 5, 823, 4115
The HCF of 5401,4115 is 1.
Lets's calculate GCF of 5401,4115
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5401,4115 By Matching Biggest Common Factor Method
Now, list down the factors of 5401
:1,11,491,5401
Now, list down the factors of 4115
:1,5,823,4115
Greatest Common Factor
We found the factors 5401,4115 . The biggest common factor number is the GCF number.
So the greatest common factor 5401,4115 is 1.
Lets's calculate LCM of 754,5990
| 2 | 754, 5990 |
| 377, 2995 |
∴ So the LCM of the given numbers is 2 x 377 x 2995 = 2258230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2258230
Therefore, the GCF of Fractions 5401/754,4115/5990 is 1/2258230
Least Common Multiple of 754,5990 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 754,5990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,5990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,5990) x common factors =2 x 1 = 2
LCM(754,5990) = ( 754 × 5990 ) / 2
LCM(754,5990) = 4516460 / 2
LCM(754,5990) = 2258230
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FAQs on GCF of Fractions of 5401/754, 4115/5990
1. What is the HCF of 5401,4115?
The HCF of 5401,4115 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 5401/754, 4115/5990?
Answer: GCF of Numerators as per given numbers 5401/754, 4115/5990 is
GCF of Numerators i.e. for 5401,4115 is 1
LCM of denominators i.e. for 754,5990 is 2258230.
Thus, GCF of Fractions is 1/2258230.Finally, GCF of Fractions for 5401/754, 4115/5990 is 1/2258230.