GCF of 1679/329, 9975/5107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1679/329, 9975/5107 i.e 1/1680203 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1679/329, 9975/5107.
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 1679/329,9975/5107?
Given fractions are 1679/329,9975/5107
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 1679/329,9975/5107, numerators are 1679,9975
Denominators are 329,5107
The GCF of 1679,9975 is 1 .
LCM of 329,5107 is 1680203.
The greatest common factor of 1679/329,9975/5107 = [GCF of 1679,9975]/[LCM of 329,5107]= 1/1680203
Therefore, the GCF of 1679/329,9975/5107 is 1/1680203.
To find the highest common factor of 1679,9975, we have to find the factors of both numbers and list the highest common factor.
The factors of 1679 are 1, 23, 73, 1679
The factors of 9975 are 1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 133, 175, 285, 399, 475, 525, 665, 1425, 1995, 3325, 9975
The HCF of 1679,9975 is 1.
Lets's calculate GCF of 1679,9975
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1679,9975 By Matching Biggest Common Factor Method
Now, list down the factors of 1679
:1,23,73,1679
Now, list down the factors of 9975
:1,3,5,7,15,19,21,25,35,57,75,95,105,133,175,285,399,475,525,665,1425,1995,3325,9975
Greatest Common Factor
We found the factors 1679,9975 . The biggest common factor number is the GCF number.
So the greatest common factor 1679,9975 is 1.
Lets's calculate LCM of 329,5107
Given numbers has no common factors except 1. So, there LCM is their product i.e 1680203
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680203
Therefore, the GCF of Fractions 1679/329,9975/5107 is 1/1680203
Least Common Multiple of 329,5107 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 329,5107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,5107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,5107) x common factors =1 x 1 = 1
LCM(329,5107) = ( 329 × 5107 ) / 1
LCM(329,5107) = 1680203 / 1
LCM(329,5107) = 1680203
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FAQs on GCF of Fractions of 1679/329, 9975/5107
1. What is the HCF of 1679,9975?
The HCF of 1679,9975 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 1679/329, 9975/5107?
Answer: GCF of Numerators as per given numbers 1679/329, 9975/5107 is
GCF of Numerators i.e. for 1679,9975 is 1
LCM of denominators i.e. for 329,5107 is 1680203.
Thus, GCF of Fractions is 1/1680203.Finally, GCF of Fractions for 1679/329, 9975/5107 is 1/1680203.