GCF of 1949/339, 4595/6429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1949/339, 4595/6429 i.e 1/726477 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1949/339, 4595/6429.
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 1949/339,4595/6429?
Given fractions are 1949/339,4595/6429
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 1949/339,4595/6429, numerators are 1949,4595
Denominators are 339,6429
The GCF of 1949,4595 is 1 .
LCM of 339,6429 is 726477.
The greatest common factor of 1949/339,4595/6429 = [GCF of 1949,4595]/[LCM of 339,6429]= 1/726477
Therefore, the GCF of 1949/339,4595/6429 is 1/726477.
To find the highest common factor of 1949,4595, we have to find the factors of both numbers and list the highest common factor.
The factors of 1949 are 1, 1949
The factors of 4595 are 1, 5, 919, 4595
The HCF of 1949,4595 is 1.
Lets's calculate GCF of 1949,4595
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1949,4595 By Matching Biggest Common Factor Method
Now, list down the factors of 1949
:1,1949
Now, list down the factors of 4595
:1,5,919,4595
Greatest Common Factor
We found the factors 1949,4595 . The biggest common factor number is the GCF number.
So the greatest common factor 1949,4595 is 1.
Lets's calculate LCM of 339,6429
| 3 | 339, 6429 |
| 113, 2143 |
∴ So the LCM of the given numbers is 3 x 113 x 2143 = 726477
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/726477
Therefore, the GCF of Fractions 1949/339,4595/6429 is 1/726477
Least Common Multiple of 339,6429 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 339,6429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,6429) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(339,6429) x common factors =3 x 1 = 3
LCM(339,6429) = ( 339 × 6429 ) / 3
LCM(339,6429) = 2179431 / 3
LCM(339,6429) = 726477
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FAQs on GCF of Fractions of 1949/339, 4595/6429
1. What is the HCF of 1949,4595?
The HCF of 1949,4595 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 1949/339, 4595/6429?
Answer: GCF of Numerators as per given numbers 1949/339, 4595/6429 is
GCF of Numerators i.e. for 1949,4595 is 1
LCM of denominators i.e. for 339,6429 is 726477.
Thus, GCF of Fractions is 1/726477.Finally, GCF of Fractions for 1949/339, 4595/6429 is 1/726477.