GCF of 783/27, 574/4796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 783/27, 574/4796 i.e 1/129492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 783/27, 574/4796.
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 783/27,574/4796?
Given fractions are 783/27,574/4796
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 783/27,574/4796, numerators are 783,574
Denominators are 27,4796
The GCF of 783,574 is 1 .
LCM of 27,4796 is 129492.
The greatest common factor of 783/27,574/4796 = [GCF of 783,574]/[LCM of 27,4796]= 1/129492
Therefore, the GCF of 783/27,574/4796 is 1/129492.
To find the highest common factor of 783,574, we have to find the factors of both numbers and list the highest common factor.
The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The HCF of 783,574 is 1.
Lets's calculate GCF of 783,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 783,574 By Matching Biggest Common Factor Method
Now, list down the factors of 783
:1,3,9,27,29,87,261,783
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 783,574 . The biggest common factor number is the GCF number.
So the greatest common factor 783,574 is 1.
Lets's calculate LCM of 27,4796
Given numbers has no common factors except 1. So, there LCM is their product i.e 129492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129492
Therefore, the GCF of Fractions 783/27,574/4796 is 1/129492
Least Common Multiple of 27,4796 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 27,4796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,4796) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,4796) x common factors =1 x 1 = 1
LCM(27,4796) = ( 27 × 4796 ) / 1
LCM(27,4796) = 129492 / 1
LCM(27,4796) = 129492
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FAQs on GCF of Fractions of 783/27, 574/4796
1. What is the HCF of 783,574?
The HCF of 783,574 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 783/27, 574/4796?
Answer: GCF of Numerators as per given numbers 783/27, 574/4796 is
GCF of Numerators i.e. for 783,574 is 1
LCM of denominators i.e. for 27,4796 is 129492.
Thus, GCF of Fractions is 1/129492.Finally, GCF of Fractions for 783/27, 574/4796 is 1/129492.