GCF of 8047/249, 2242/8344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8047/249, 2242/8344 i.e 1/2077656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8047/249, 2242/8344.
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 8047/249,2242/8344?
Given fractions are 8047/249,2242/8344
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 8047/249,2242/8344, numerators are 8047,2242
Denominators are 249,8344
The GCF of 8047,2242 is 1 .
LCM of 249,8344 is 2077656.
The greatest common factor of 8047/249,2242/8344 = [GCF of 8047,2242]/[LCM of 249,8344]= 1/2077656
Therefore, the GCF of 8047/249,2242/8344 is 1/2077656.
To find the highest common factor of 8047,2242, we have to find the factors of both numbers and list the highest common factor.
The factors of 8047 are 1, 13, 619, 8047
The factors of 2242 are 1, 2, 19, 38, 59, 118, 1121, 2242
The HCF of 8047,2242 is 1.
Lets's calculate GCF of 8047,2242
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8047,2242 By Matching Biggest Common Factor Method
Now, list down the factors of 8047
:1,13,619,8047
Now, list down the factors of 2242
:1,2,19,38,59,118,1121,2242
Greatest Common Factor
We found the factors 8047,2242 . The biggest common factor number is the GCF number.
So the greatest common factor 8047,2242 is 1.
Lets's calculate LCM of 249,8344
Given numbers has no common factors except 1. So, there LCM is their product i.e 2077656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2077656
Therefore, the GCF of Fractions 8047/249,2242/8344 is 1/2077656
Least Common Multiple of 249,8344 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 249,8344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,8344) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,8344) x common factors =1 x 1 = 1
LCM(249,8344) = ( 249 × 8344 ) / 1
LCM(249,8344) = 2077656 / 1
LCM(249,8344) = 2077656
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FAQs on GCF of Fractions of 8047/249, 2242/8344
1. What is the HCF of 8047,2242?
The HCF of 8047,2242 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 8047/249, 2242/8344?
Answer: GCF of Numerators as per given numbers 8047/249, 2242/8344 is
GCF of Numerators i.e. for 8047,2242 is 1
LCM of denominators i.e. for 249,8344 is 2077656.
Thus, GCF of Fractions is 1/2077656.Finally, GCF of Fractions for 8047/249, 2242/8344 is 1/2077656.