GCF of 5975/731, 6132/1995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5975/731, 6132/1995 i.e 1/1458345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5975/731, 6132/1995.
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 5975/731,6132/1995?
Given fractions are 5975/731,6132/1995
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 5975/731,6132/1995, numerators are 5975,6132
Denominators are 731,1995
The GCF of 5975,6132 is 1 .
LCM of 731,1995 is 1458345.
The greatest common factor of 5975/731,6132/1995 = [GCF of 5975,6132]/[LCM of 731,1995]= 1/1458345
Therefore, the GCF of 5975/731,6132/1995 is 1/1458345.
To find the highest common factor of 5975,6132, we have to find the factors of both numbers and list the highest common factor.
The factors of 5975 are 1, 5, 25, 239, 1195, 5975
The factors of 6132 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066, 6132
The HCF of 5975,6132 is 1.
Lets's calculate GCF of 5975,6132
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5975,6132 By Matching Biggest Common Factor Method
Now, list down the factors of 5975
:1,5,25,239,1195,5975
Now, list down the factors of 6132
:1,2,3,4,6,7,12,14,21,28,42,73,84,146,219,292,438,511,876,1022,1533,2044,3066,6132
Greatest Common Factor
We found the factors 5975,6132 . The biggest common factor number is the GCF number.
So the greatest common factor 5975,6132 is 1.
Lets's calculate LCM of 731,1995
Given numbers has no common factors except 1. So, there LCM is their product i.e 1458345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1458345
Therefore, the GCF of Fractions 5975/731,6132/1995 is 1/1458345
Least Common Multiple of 731,1995 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 731,1995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,1995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,1995) x common factors =1 x 1 = 1
LCM(731,1995) = ( 731 × 1995 ) / 1
LCM(731,1995) = 1458345 / 1
LCM(731,1995) = 1458345
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FAQs on GCF of Fractions of 5975/731, 6132/1995
1. What is the HCF of 5975,6132?
The HCF of 5975,6132 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 5975/731, 6132/1995?
Answer: GCF of Numerators as per given numbers 5975/731, 6132/1995 is
GCF of Numerators i.e. for 5975,6132 is 1
LCM of denominators i.e. for 731,1995 is 1458345.
Thus, GCF of Fractions is 1/1458345.Finally, GCF of Fractions for 5975/731, 6132/1995 is 1/1458345.