GCF of 611/406, 972/519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 611/406, 972/519 i.e 1/210714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 611/406, 972/519.
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 611/406,972/519?
Given fractions are 611/406,972/519
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 611/406,972/519, numerators are 611,972
Denominators are 406,519
The GCF of 611,972 is 1 .
LCM of 406,519 is 210714.
The greatest common factor of 611/406,972/519 = [GCF of 611,972]/[LCM of 406,519]= 1/210714
Therefore, the GCF of 611/406,972/519 is 1/210714.
To find the highest common factor of 611,972, we have to find the factors of both numbers and list the highest common factor.
The factors of 611 are 1, 13, 47, 611
The factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
The HCF of 611,972 is 1.
Lets's calculate GCF of 611,972
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 611,972 By Matching Biggest Common Factor Method
Now, list down the factors of 611
:1,13,47,611
Now, list down the factors of 972
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 611,972 . The biggest common factor number is the GCF number.
So the greatest common factor 611,972 is 1.
Lets's calculate LCM of 406,519
Given numbers has no common factors except 1. So, there LCM is their product i.e 210714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210714
Therefore, the GCF of Fractions 611/406,972/519 is 1/210714
Least Common Multiple of 406,519 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 406,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,519) x common factors =1 x 1 = 1
LCM(406,519) = ( 406 × 519 ) / 1
LCM(406,519) = 210714 / 1
LCM(406,519) = 210714
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FAQs on GCF of Fractions of 611/406, 972/519
1. What is the HCF of 611,972?
The HCF of 611,972 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 611/406, 972/519?
Answer: GCF of Numerators as per given numbers 611/406, 972/519 is
GCF of Numerators i.e. for 611,972 is 1
LCM of denominators i.e. for 406,519 is 210714.
Thus, GCF of Fractions is 1/210714.Finally, GCF of Fractions for 611/406, 972/519 is 1/210714.