GCF of 1551/378, 3514/5903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1551/378, 3514/5903 i.e 1/2231334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1551/378, 3514/5903.
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 1551/378,3514/5903?
Given fractions are 1551/378,3514/5903
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 1551/378,3514/5903, numerators are 1551,3514
Denominators are 378,5903
The GCF of 1551,3514 is 1 .
LCM of 378,5903 is 2231334.
The greatest common factor of 1551/378,3514/5903 = [GCF of 1551,3514]/[LCM of 378,5903]= 1/2231334
Therefore, the GCF of 1551/378,3514/5903 is 1/2231334.
To find the highest common factor of 1551,3514, we have to find the factors of both numbers and list the highest common factor.
The factors of 1551 are 1, 3, 11, 33, 47, 141, 517, 1551
The factors of 3514 are 1, 2, 7, 14, 251, 502, 1757, 3514
The HCF of 1551,3514 is 1.
Lets's calculate GCF of 1551,3514
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1551,3514 By Matching Biggest Common Factor Method
Now, list down the factors of 1551
:1,3,11,33,47,141,517,1551
Now, list down the factors of 3514
:1,2,7,14,251,502,1757,3514
Greatest Common Factor
We found the factors 1551,3514 . The biggest common factor number is the GCF number.
So the greatest common factor 1551,3514 is 1.
Lets's calculate LCM of 378,5903
Given numbers has no common factors except 1. So, there LCM is their product i.e 2231334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2231334
Therefore, the GCF of Fractions 1551/378,3514/5903 is 1/2231334
Least Common Multiple of 378,5903 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 378,5903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,5903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,5903) x common factors =1 x 1 = 1
LCM(378,5903) = ( 378 × 5903 ) / 1
LCM(378,5903) = 2231334 / 1
LCM(378,5903) = 2231334
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FAQs on GCF of Fractions of 1551/378, 3514/5903
1. What is the HCF of 1551,3514?
The HCF of 1551,3514 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 1551/378, 3514/5903?
Answer: GCF of Numerators as per given numbers 1551/378, 3514/5903 is
GCF of Numerators i.e. for 1551,3514 is 1
LCM of denominators i.e. for 378,5903 is 2231334.
Thus, GCF of Fractions is 1/2231334.Finally, GCF of Fractions for 1551/378, 3514/5903 is 1/2231334.