GCF of 1911/628, 5427/7419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1911/628, 5427/7419 i.e 3/4659132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1911/628, 5427/7419.
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 1911/628,5427/7419?
Given fractions are 1911/628,5427/7419
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 1911/628,5427/7419, numerators are 1911,5427
Denominators are 628,7419
The GCF of 1911,5427 is 3 .
LCM of 628,7419 is 4659132.
The greatest common factor of 1911/628,5427/7419 = [GCF of 1911,5427]/[LCM of 628,7419]= 3/4659132
Therefore, the GCF of 1911/628,5427/7419 is 3/4659132.
To find the highest common factor of 1911,5427, we have to find the factors of both numbers and list the highest common factor.
The factors of 1911 are 1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 637, 1911
The factors of 5427 are 1, 3, 9, 27, 67, 81, 201, 603, 1809, 5427
The HCF of 1911,5427 is 3.
Lets's calculate GCF of 1911,5427
| 3 | 1911, 5427 |
| 637, 1809 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1911,5427 By Matching Biggest Common Factor Method
Now, list down the factors of 1911
:1,3,7,13,21,39,49,91,147,273,637,1911
Now, list down the factors of 5427
:1,3,9,27,67,81,201,603,1809,5427
Greatest Common Factor
We found the factors 1911,5427 . The biggest common factor number is the GCF number.
So the greatest common factor 1911,5427 is 3.
Lets's calculate LCM of 628,7419
Given numbers has no common factors except 1. So, there LCM is their product i.e 4659132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4659132
Therefore, the GCF of Fractions 1911/628,5427/7419 is 3/4659132
Least Common Multiple of 628,7419 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 628,7419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,7419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(628,7419) x common factors =1 x 1 = 1
LCM(628,7419) = ( 628 × 7419 ) / 1
LCM(628,7419) = 4659132 / 1
LCM(628,7419) = 4659132
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FAQs on GCF of Fractions of 1911/628, 5427/7419
1. What is the HCF of 1911,5427?
The HCF of 1911,5427 is 3
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 1911/628, 5427/7419?
Answer: GCF of Numerators as per given numbers 1911/628, 5427/7419 is
GCF of Numerators i.e. for 1911,5427 is 3
LCM of denominators i.e. for 628,7419 is 4659132.
Thus, GCF of Fractions is 3/4659132.Finally, GCF of Fractions for 1911/628, 5427/7419 is 3/4659132.