GCF of 20/769, 706/646, 383/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/769, 706/646, 383/149 i.e 1/74019326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/769, 706/646, 383/149.
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 20/769,706/646,383/149?
Given fractions are 20/769,706/646,383/149
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 20/769,706/646,383/149, numerators are 20,706,383
Denominators are 769,646,149
The GCF of 20,706,383 is 1 .
LCM of 769,646,149 is 74019326.
The greatest common factor of 20/769,706/646,383/149 = [GCF of 20,706,383]/[LCM of 769,646,149]= 1/74019326
Therefore, the GCF of 20/769,706/646,383/149 is 1/74019326.
To find the highest common factor of 20,706,383, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 706 are 1, 2, 353, 706
The factors of 383 are 1, 383
The HCF of 20,706,383 is 1.
Lets's calculate GCF of 20,706,383
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 20,706,383 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 706
:1,2,353,706
Now, list down the factors of 383
:1,383
Greatest Common Factor
We found the factors 20,706,383 . The biggest common factor number is the GCF number.
So the greatest common factor 20,706,383 is 1.
Lets's calculate LCM of 769,646,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 74019326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74019326
Therefore, the GCF of Fractions 20/769,706/646,383/149 is 1/74019326
Least Common Multiple of 769,646,149 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 769,646,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,646,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,646,149) x common factors =1 x 1 = 1
LCM(769,646,149) = ( 769 × 646 × 149 ) / 1
LCM(769,646,149) = 74019326 / 1
LCM(769,646,149) = 74019326
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FAQs on GCF of Fractions of 20/769, 706/646, 383/149
1. What is the HCF of 20,706,383?
The HCF of 20,706,383 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 20/769, 706/646, 383/149?
Answer: GCF of Numerators as per given numbers 20/769, 706/646, 383/149 is
GCF of Numerators i.e. for 20,706,383 is 1
LCM of denominators i.e. for 769,646,149 is 74019326.
Thus, GCF of Fractions is 1/74019326.Finally, GCF of Fractions for 20/769, 706/646, 383/149 is 1/74019326.