GCF of 1362/322, 6289/1229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1362/322, 6289/1229 i.e 1/395738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1362/322, 6289/1229.
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 1362/322,6289/1229?
Given fractions are 1362/322,6289/1229
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 1362/322,6289/1229, numerators are 1362,6289
Denominators are 322,1229
The GCF of 1362,6289 is 1 .
LCM of 322,1229 is 395738.
The greatest common factor of 1362/322,6289/1229 = [GCF of 1362,6289]/[LCM of 322,1229]= 1/395738
Therefore, the GCF of 1362/322,6289/1229 is 1/395738.
To find the highest common factor of 1362,6289, we have to find the factors of both numbers and list the highest common factor.
The factors of 1362 are 1, 2, 3, 6, 227, 454, 681, 1362
The factors of 6289 are 1, 19, 331, 6289
The HCF of 1362,6289 is 1.
Lets's calculate GCF of 1362,6289
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1362,6289 By Matching Biggest Common Factor Method
Now, list down the factors of 1362
:1,2,3,6,227,454,681,1362
Now, list down the factors of 6289
:1,19,331,6289
Greatest Common Factor
We found the factors 1362,6289 . The biggest common factor number is the GCF number.
So the greatest common factor 1362,6289 is 1.
Lets's calculate LCM of 322,1229
Given numbers has no common factors except 1. So, there LCM is their product i.e 395738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/395738
Therefore, the GCF of Fractions 1362/322,6289/1229 is 1/395738
Least Common Multiple of 322,1229 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 322,1229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,1229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(322,1229) x common factors =1 x 1 = 1
LCM(322,1229) = ( 322 × 1229 ) / 1
LCM(322,1229) = 395738 / 1
LCM(322,1229) = 395738
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FAQs on GCF of Fractions of 1362/322, 6289/1229
1. What is the HCF of 1362,6289?
The HCF of 1362,6289 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 1362/322, 6289/1229?
Answer: GCF of Numerators as per given numbers 1362/322, 6289/1229 is
GCF of Numerators i.e. for 1362,6289 is 1
LCM of denominators i.e. for 322,1229 is 395738.
Thus, GCF of Fractions is 1/395738.Finally, GCF of Fractions for 1362/322, 6289/1229 is 1/395738.