GCF of 1632/311, 6517/6875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1632/311, 6517/6875 i.e 1/2138125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1632/311, 6517/6875.
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 1632/311,6517/6875?
Given fractions are 1632/311,6517/6875
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 1632/311,6517/6875, numerators are 1632,6517
Denominators are 311,6875
The GCF of 1632,6517 is 1 .
LCM of 311,6875 is 2138125.
The greatest common factor of 1632/311,6517/6875 = [GCF of 1632,6517]/[LCM of 311,6875]= 1/2138125
Therefore, the GCF of 1632/311,6517/6875 is 1/2138125.
To find the highest common factor of 1632,6517, we have to find the factors of both numbers and list the highest common factor.
The factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632
The factors of 6517 are 1, 7, 19, 49, 133, 343, 931, 6517
The HCF of 1632,6517 is 1.
Lets's calculate GCF of 1632,6517
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1632,6517 By Matching Biggest Common Factor Method
Now, list down the factors of 1632
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,68,96,102,136,204,272,408,544,816,1632
Now, list down the factors of 6517
:1,7,19,49,133,343,931,6517
Greatest Common Factor
We found the factors 1632,6517 . The biggest common factor number is the GCF number.
So the greatest common factor 1632,6517 is 1.
Lets's calculate LCM of 311,6875
Given numbers has no common factors except 1. So, there LCM is their product i.e 2138125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2138125
Therefore, the GCF of Fractions 1632/311,6517/6875 is 1/2138125
Least Common Multiple of 311,6875 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 311,6875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,6875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,6875) x common factors =1 x 1 = 1
LCM(311,6875) = ( 311 × 6875 ) / 1
LCM(311,6875) = 2138125 / 1
LCM(311,6875) = 2138125
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FAQs on GCF of Fractions of 1632/311, 6517/6875
1. What is the HCF of 1632,6517?
The HCF of 1632,6517 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 1632/311, 6517/6875?
Answer: GCF of Numerators as per given numbers 1632/311, 6517/6875 is
GCF of Numerators i.e. for 1632,6517 is 1
LCM of denominators i.e. for 311,6875 is 2138125.
Thus, GCF of Fractions is 1/2138125.Finally, GCF of Fractions for 1632/311, 6517/6875 is 1/2138125.