GCF of 1914/673, 4521/6019
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1914/673, 4521/6019 i.e 33/4050787 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1914/673, 4521/6019.
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 1914/673,4521/6019?
Given fractions are 1914/673,4521/6019
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 1914/673,4521/6019, numerators are 1914,4521
Denominators are 673,6019
The GCF of 1914,4521 is 33 .
LCM of 673,6019 is 4050787.
The greatest common factor of 1914/673,4521/6019 = [GCF of 1914,4521]/[LCM of 673,6019]= 33/4050787
Therefore, the GCF of 1914/673,4521/6019 is 33/4050787.
To find the highest common factor of 1914,4521, we have to find the factors of both numbers and list the highest common factor.
The factors of 1914 are 1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 174, 319, 638, 957, 1914
The factors of 4521 are 1, 3, 11, 33, 137, 411, 1507, 4521
The HCF of 1914,4521 is 33.
Lets's calculate GCF of 1914,4521
| 3 | 1914, 4521 |
| 11 | 638, 1507 |
| 58, 137 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 1914,4521 By Matching Biggest Common Factor Method
Now, list down the factors of 1914
:1,2,3,6,11,22,29,33,58,66,87,174,319,638,957,1914
Now, list down the factors of 4521
:1,3,11,33,137,411,1507,4521
Greatest Common Factor
We found the factors 1914,4521 . The biggest common factor number is the GCF number.
So the greatest common factor 1914,4521 is 33.
Lets's calculate LCM of 673,6019
Given numbers has no common factors except 1. So, there LCM is their product i.e 4050787
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/4050787
Therefore, the GCF of Fractions 1914/673,4521/6019 is 33/4050787
Least Common Multiple of 673,6019 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 673,6019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,6019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,6019) x common factors =1 x 1 = 1
LCM(673,6019) = ( 673 × 6019 ) / 1
LCM(673,6019) = 4050787 / 1
LCM(673,6019) = 4050787
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FAQs on GCF of Fractions of 1914/673, 4521/6019
1. What is the HCF of 1914,4521?
The HCF of 1914,4521 is 33
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 1914/673, 4521/6019?
Answer: GCF of Numerators as per given numbers 1914/673, 4521/6019 is
GCF of Numerators i.e. for 1914,4521 is 33
LCM of denominators i.e. for 673,6019 is 4050787.
Thus, GCF of Fractions is 33/4050787.Finally, GCF of Fractions for 1914/673, 4521/6019 is 33/4050787.