GCF of 6321/150, 6268/971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6321/150, 6268/971 i.e 1/145650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6321/150, 6268/971.
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 6321/150,6268/971?
Given fractions are 6321/150,6268/971
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 6321/150,6268/971, numerators are 6321,6268
Denominators are 150,971
The GCF of 6321,6268 is 1 .
LCM of 150,971 is 145650.
The greatest common factor of 6321/150,6268/971 = [GCF of 6321,6268]/[LCM of 150,971]= 1/145650
Therefore, the GCF of 6321/150,6268/971 is 1/145650.
To find the highest common factor of 6321,6268, we have to find the factors of both numbers and list the highest common factor.
The factors of 6321 are 1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321
The factors of 6268 are 1, 2, 4, 1567, 3134, 6268
The HCF of 6321,6268 is 1.
Lets's calculate GCF of 6321,6268
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6321,6268 By Matching Biggest Common Factor Method
Now, list down the factors of 6321
:1,3,7,21,43,49,129,147,301,903,2107,6321
Now, list down the factors of 6268
:1,2,4,1567,3134,6268
Greatest Common Factor
We found the factors 6321,6268 . The biggest common factor number is the GCF number.
So the greatest common factor 6321,6268 is 1.
Lets's calculate LCM of 150,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 145650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145650
Therefore, the GCF of Fractions 6321/150,6268/971 is 1/145650
Least Common Multiple of 150,971 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 150,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(150,971) x common factors =1 x 1 = 1
LCM(150,971) = ( 150 × 971 ) / 1
LCM(150,971) = 145650 / 1
LCM(150,971) = 145650
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FAQs on GCF of Fractions of 6321/150, 6268/971
1. What is the HCF of 6321,6268?
The HCF of 6321,6268 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 6321/150, 6268/971?
Answer: GCF of Numerators as per given numbers 6321/150, 6268/971 is
GCF of Numerators i.e. for 6321,6268 is 1
LCM of denominators i.e. for 150,971 is 145650.
Thus, GCF of Fractions is 1/145650.Finally, GCF of Fractions for 6321/150, 6268/971 is 1/145650.