GCF of 711/483, 545/769, 633/119
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 711/483, 545/769, 633/119 i.e 1/6314259 easily. The following is the detailed procedure to determine the greatest common factor of fractions 711/483, 545/769, 633/119.
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 711/483,545/769,633/119?
Given fractions are 711/483,545/769,633/119
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 711/483,545/769,633/119, numerators are 711,545,633
Denominators are 483,769,119
The GCF of 711,545,633 is 1 .
LCM of 483,769,119 is 6314259.
The greatest common factor of 711/483,545/769,633/119 = [GCF of 711,545,633]/[LCM of 483,769,119]= 1/6314259
Therefore, the GCF of 711/483,545/769,633/119 is 1/6314259.
To find the highest common factor of 711,545,633, we have to find the factors of both numbers and list the highest common factor.
The factors of 711 are 1, 3, 9, 79, 237, 711
The factors of 545 are 1, 5, 109, 545
The factors of 633 are 1, 3, 211, 633
The HCF of 711,545,633 is 1.
Lets's calculate GCF of 711,545,633
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 711,545,633 By Matching Biggest Common Factor Method
Now, list down the factors of 711
:1,3,9,79,237,711
Now, list down the factors of 545
:1,5,109,545
Now, list down the factors of 633
:1,3,211,633
Greatest Common Factor
We found the factors 711,545,633 . The biggest common factor number is the GCF number.
So the greatest common factor 711,545,633 is 1.
Lets's calculate LCM of 483,769,119
| 7 | 483, 769, 119 |
| 69, 769, 17 |
∴ So the LCM of the given numbers is 7 x 69 x 769 x 17 = 6314259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6314259
Therefore, the GCF of Fractions 711/483,545/769,633/119 is 1/6314259
Least Common Multiple of 483,769,119 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 483,769,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,769,119) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(483,769,119) x common factors =1 x 7 = 7
LCM(483,769,119) = ( 483 × 769 × 119 ) / 7
LCM(483,769,119) = 44199813 / 7
LCM(483,769,119) = 6314259
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FAQs on GCF of Fractions of 711/483, 545/769, 633/119
1. What is the HCF of 711,545,633?
The HCF of 711,545,633 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 711/483, 545/769, 633/119?
Answer: GCF of Numerators as per given numbers 711/483, 545/769, 633/119 is
GCF of Numerators i.e. for 711,545,633 is 1
LCM of denominators i.e. for 483,769,119 is 6314259.
Thus, GCF of Fractions is 1/6314259.Finally, GCF of Fractions for 711/483, 545/769, 633/119 is 1/6314259.