GCF of 1363/627, 8738/2819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1363/627, 8738/2819 i.e 1/1767513 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1363/627, 8738/2819.
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 1363/627,8738/2819?
Given fractions are 1363/627,8738/2819
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 1363/627,8738/2819, numerators are 1363,8738
Denominators are 627,2819
The GCF of 1363,8738 is 1 .
LCM of 627,2819 is 1767513.
The greatest common factor of 1363/627,8738/2819 = [GCF of 1363,8738]/[LCM of 627,2819]= 1/1767513
Therefore, the GCF of 1363/627,8738/2819 is 1/1767513.
To find the highest common factor of 1363,8738, we have to find the factors of both numbers and list the highest common factor.
The factors of 1363 are 1, 29, 47, 1363
The factors of 8738 are 1, 2, 17, 34, 257, 514, 4369, 8738
The HCF of 1363,8738 is 1.
Lets's calculate GCF of 1363,8738
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1363,8738 By Matching Biggest Common Factor Method
Now, list down the factors of 1363
:1,29,47,1363
Now, list down the factors of 8738
:1,2,17,34,257,514,4369,8738
Greatest Common Factor
We found the factors 1363,8738 . The biggest common factor number is the GCF number.
So the greatest common factor 1363,8738 is 1.
Lets's calculate LCM of 627,2819
Given numbers has no common factors except 1. So, there LCM is their product i.e 1767513
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1767513
Therefore, the GCF of Fractions 1363/627,8738/2819 is 1/1767513
Least Common Multiple of 627,2819 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 627,2819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,2819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,2819) x common factors =1 x 1 = 1
LCM(627,2819) = ( 627 × 2819 ) / 1
LCM(627,2819) = 1767513 / 1
LCM(627,2819) = 1767513
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FAQs on GCF of Fractions of 1363/627, 8738/2819
1. What is the HCF of 1363,8738?
The HCF of 1363,8738 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 1363/627, 8738/2819?
Answer: GCF of Numerators as per given numbers 1363/627, 8738/2819 is
GCF of Numerators i.e. for 1363,8738 is 1
LCM of denominators i.e. for 627,2819 is 1767513.
Thus, GCF of Fractions is 1/1767513.Finally, GCF of Fractions for 1363/627, 8738/2819 is 1/1767513.