GCF of 7619/445, 4749/267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7619/445, 4749/267 i.e 1/1335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7619/445, 4749/267.
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 7619/445,4749/267?
Given fractions are 7619/445,4749/267
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 7619/445,4749/267, numerators are 7619,4749
Denominators are 445,267
The GCF of 7619,4749 is 1 .
LCM of 445,267 is 1335.
The greatest common factor of 7619/445,4749/267 = [GCF of 7619,4749]/[LCM of 445,267]= 1/1335
Therefore, the GCF of 7619/445,4749/267 is 1/1335.
To find the highest common factor of 7619,4749, we have to find the factors of both numbers and list the highest common factor.
The factors of 7619 are 1, 19, 401, 7619
The factors of 4749 are 1, 3, 1583, 4749
The HCF of 7619,4749 is 1.
Lets's calculate GCF of 7619,4749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7619,4749 By Matching Biggest Common Factor Method
Now, list down the factors of 7619
:1,19,401,7619
Now, list down the factors of 4749
:1,3,1583,4749
Greatest Common Factor
We found the factors 7619,4749 . The biggest common factor number is the GCF number.
So the greatest common factor 7619,4749 is 1.
Lets's calculate LCM of 445,267
| 89 | 445, 267 |
| 5, 3 |
∴ So the LCM of the given numbers is 89 x 5 x 3 = 1335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1335
Therefore, the GCF of Fractions 7619/445,4749/267 is 1/1335
Least Common Multiple of 445,267 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 445,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,267) = 89
common factors(in case of two or more numbers have common factors) = 1
GCF(445,267) x common factors =89 x 1 = 89
LCM(445,267) = ( 445 × 267 ) / 89
LCM(445,267) = 118815 / 89
LCM(445,267) = 1335
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7619/445, 4749/267
1. What is the HCF of 7619,4749?
The HCF of 7619,4749 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 7619/445, 4749/267?
Answer: GCF of Numerators as per given numbers 7619/445, 4749/267 is
GCF of Numerators i.e. for 7619,4749 is 1
LCM of denominators i.e. for 445,267 is 1335.
Thus, GCF of Fractions is 1/1335.Finally, GCF of Fractions for 7619/445, 4749/267 is 1/1335.