GCF of 6289/188, 6357/119
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6289/188, 6357/119 i.e 1/22372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6289/188, 6357/119.
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 6289/188,6357/119?
Given fractions are 6289/188,6357/119
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 6289/188,6357/119, numerators are 6289,6357
Denominators are 188,119
The GCF of 6289,6357 is 1 .
LCM of 188,119 is 22372.
The greatest common factor of 6289/188,6357/119 = [GCF of 6289,6357]/[LCM of 188,119]= 1/22372
Therefore, the GCF of 6289/188,6357/119 is 1/22372.
To find the highest common factor of 6289,6357, we have to find the factors of both numbers and list the highest common factor.
The factors of 6289 are 1, 19, 331, 6289
The factors of 6357 are 1, 3, 13, 39, 163, 489, 2119, 6357
The HCF of 6289,6357 is 1.
Lets's calculate GCF of 6289,6357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6289,6357 By Matching Biggest Common Factor Method
Now, list down the factors of 6289
:1,19,331,6289
Now, list down the factors of 6357
:1,3,13,39,163,489,2119,6357
Greatest Common Factor
We found the factors 6289,6357 . The biggest common factor number is the GCF number.
So the greatest common factor 6289,6357 is 1.
Lets's calculate LCM of 188,119
Given numbers has no common factors except 1. So, there LCM is their product i.e 22372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22372
Therefore, the GCF of Fractions 6289/188,6357/119 is 1/22372
Least Common Multiple of 188,119 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 188,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(188,119) x common factors =1 x 1 = 1
LCM(188,119) = ( 188 × 119 ) / 1
LCM(188,119) = 22372 / 1
LCM(188,119) = 22372
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FAQs on GCF of Fractions of 6289/188, 6357/119
1. What is the HCF of 6289,6357?
The HCF of 6289,6357 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 6289/188, 6357/119?
Answer: GCF of Numerators as per given numbers 6289/188, 6357/119 is
GCF of Numerators i.e. for 6289,6357 is 1
LCM of denominators i.e. for 188,119 is 22372.
Thus, GCF of Fractions is 1/22372.Finally, GCF of Fractions for 6289/188, 6357/119 is 1/22372.