GCF of 1798/249, 5469/1498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1798/249, 5469/1498 i.e 1/373002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1798/249, 5469/1498.
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 1798/249,5469/1498?
Given fractions are 1798/249,5469/1498
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 1798/249,5469/1498, numerators are 1798,5469
Denominators are 249,1498
The GCF of 1798,5469 is 1 .
LCM of 249,1498 is 373002.
The greatest common factor of 1798/249,5469/1498 = [GCF of 1798,5469]/[LCM of 249,1498]= 1/373002
Therefore, the GCF of 1798/249,5469/1498 is 1/373002.
To find the highest common factor of 1798,5469, we have to find the factors of both numbers and list the highest common factor.
The factors of 1798 are 1, 2, 29, 31, 58, 62, 899, 1798
The factors of 5469 are 1, 3, 1823, 5469
The HCF of 1798,5469 is 1.
Lets's calculate GCF of 1798,5469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1798,5469 By Matching Biggest Common Factor Method
Now, list down the factors of 1798
:1,2,29,31,58,62,899,1798
Now, list down the factors of 5469
:1,3,1823,5469
Greatest Common Factor
We found the factors 1798,5469 . The biggest common factor number is the GCF number.
So the greatest common factor 1798,5469 is 1.
Lets's calculate LCM of 249,1498
Given numbers has no common factors except 1. So, there LCM is their product i.e 373002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373002
Therefore, the GCF of Fractions 1798/249,5469/1498 is 1/373002
Least Common Multiple of 249,1498 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 249,1498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,1498) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,1498) x common factors =1 x 1 = 1
LCM(249,1498) = ( 249 × 1498 ) / 1
LCM(249,1498) = 373002 / 1
LCM(249,1498) = 373002
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FAQs on GCF of Fractions of 1798/249, 5469/1498
1. What is the HCF of 1798,5469?
The HCF of 1798,5469 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 1798/249, 5469/1498?
Answer: GCF of Numerators as per given numbers 1798/249, 5469/1498 is
GCF of Numerators i.e. for 1798,5469 is 1
LCM of denominators i.e. for 249,1498 is 373002.
Thus, GCF of Fractions is 1/373002.Finally, GCF of Fractions for 1798/249, 5469/1498 is 1/373002.