GCF of 774/34, 455/711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 774/34, 455/711 i.e 1/24174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 774/34, 455/711.
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 774/34,455/711?
Given fractions are 774/34,455/711
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 774/34,455/711, numerators are 774,455
Denominators are 34,711
The GCF of 774,455 is 1 .
LCM of 34,711 is 24174.
The greatest common factor of 774/34,455/711 = [GCF of 774,455]/[LCM of 34,711]= 1/24174
Therefore, the GCF of 774/34,455/711 is 1/24174.
To find the highest common factor of 774,455, we have to find the factors of both numbers and list the highest common factor.
The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The HCF of 774,455 is 1.
Lets's calculate GCF of 774,455
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 774,455 By Matching Biggest Common Factor Method
Now, list down the factors of 774
:1,2,3,6,9,18,43,86,129,258,387,774
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 774,455 . The biggest common factor number is the GCF number.
So the greatest common factor 774,455 is 1.
Lets's calculate LCM of 34,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 24174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24174
Therefore, the GCF of Fractions 774/34,455/711 is 1/24174
Least Common Multiple of 34,711 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 34,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,711) x common factors =1 x 1 = 1
LCM(34,711) = ( 34 × 711 ) / 1
LCM(34,711) = 24174 / 1
LCM(34,711) = 24174
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FAQs on GCF of Fractions of 774/34, 455/711
1. What is the HCF of 774,455?
The HCF of 774,455 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 774/34, 455/711?
Answer: GCF of Numerators as per given numbers 774/34, 455/711 is
GCF of Numerators i.e. for 774,455 is 1
LCM of denominators i.e. for 34,711 is 24174.
Thus, GCF of Fractions is 1/24174.Finally, GCF of Fractions for 774/34, 455/711 is 1/24174.