GCF of 79/200, 769/509, 658/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 79/200, 769/509, 658/289 i.e 1/29420200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 79/200, 769/509, 658/289.
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 79/200,769/509,658/289?
Given fractions are 79/200,769/509,658/289
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 79/200,769/509,658/289, numerators are 79,769,658
Denominators are 200,509,289
The GCF of 79,769,658 is 1 .
LCM of 200,509,289 is 29420200.
The greatest common factor of 79/200,769/509,658/289 = [GCF of 79,769,658]/[LCM of 200,509,289]= 1/29420200
Therefore, the GCF of 79/200,769/509,658/289 is 1/29420200.
To find the highest common factor of 79,769,658, we have to find the factors of both numbers and list the highest common factor.
The factors of 79 are 1, 79
The factors of 769 are 1, 769
The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658
The HCF of 79,769,658 is 1.
Lets's calculate GCF of 79,769,658
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 79,769,658 By Matching Biggest Common Factor Method
Now, list down the factors of 79
:1,79
Now, list down the factors of 769
:1,769
Now, list down the factors of 658
:1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 79,769,658 . The biggest common factor number is the GCF number.
So the greatest common factor 79,769,658 is 1.
Lets's calculate LCM of 200,509,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 29420200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29420200
Therefore, the GCF of Fractions 79/200,769/509,658/289 is 1/29420200
Least Common Multiple of 200,509,289 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 200,509,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,509,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(200,509,289) x common factors =1 x 1 = 1
LCM(200,509,289) = ( 200 × 509 × 289 ) / 1
LCM(200,509,289) = 29420200 / 1
LCM(200,509,289) = 29420200
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FAQs on GCF of Fractions of 79/200, 769/509, 658/289
1. What is the HCF of 79,769,658?
The HCF of 79,769,658 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 79/200, 769/509, 658/289?
Answer: GCF of Numerators as per given numbers 79/200, 769/509, 658/289 is
GCF of Numerators i.e. for 79,769,658 is 1
LCM of denominators i.e. for 200,509,289 is 29420200.
Thus, GCF of Fractions is 1/29420200.Finally, GCF of Fractions for 79/200, 769/509, 658/289 is 1/29420200.