GCF of 7249/419, 7263/1599
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7249/419, 7263/1599 i.e 1/669981 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7249/419, 7263/1599.
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 7249/419,7263/1599?
Given fractions are 7249/419,7263/1599
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 7249/419,7263/1599, numerators are 7249,7263
Denominators are 419,1599
The GCF of 7249,7263 is 1 .
LCM of 419,1599 is 669981.
The greatest common factor of 7249/419,7263/1599 = [GCF of 7249,7263]/[LCM of 419,1599]= 1/669981
Therefore, the GCF of 7249/419,7263/1599 is 1/669981.
To find the highest common factor of 7249,7263, we have to find the factors of both numbers and list the highest common factor.
The factors of 7249 are 1, 11, 659, 7249
The factors of 7263 are 1, 3, 9, 27, 269, 807, 2421, 7263
The HCF of 7249,7263 is 1.
Lets's calculate GCF of 7249,7263
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7249,7263 By Matching Biggest Common Factor Method
Now, list down the factors of 7249
:1,11,659,7249
Now, list down the factors of 7263
:1,3,9,27,269,807,2421,7263
Greatest Common Factor
We found the factors 7249,7263 . The biggest common factor number is the GCF number.
So the greatest common factor 7249,7263 is 1.
Lets's calculate LCM of 419,1599
Given numbers has no common factors except 1. So, there LCM is their product i.e 669981
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/669981
Therefore, the GCF of Fractions 7249/419,7263/1599 is 1/669981
Least Common Multiple of 419,1599 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 419,1599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,1599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,1599) x common factors =1 x 1 = 1
LCM(419,1599) = ( 419 × 1599 ) / 1
LCM(419,1599) = 669981 / 1
LCM(419,1599) = 669981
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FAQs on GCF of Fractions of 7249/419, 7263/1599
1. What is the HCF of 7249,7263?
The HCF of 7249,7263 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 7249/419, 7263/1599?
Answer: GCF of Numerators as per given numbers 7249/419, 7263/1599 is
GCF of Numerators i.e. for 7249,7263 is 1
LCM of denominators i.e. for 419,1599 is 669981.
Thus, GCF of Fractions is 1/669981.Finally, GCF of Fractions for 7249/419, 7263/1599 is 1/669981.