GCF of 433/77, 840/7726
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 433/77, 840/7726 i.e 1/594902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 433/77, 840/7726.
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 433/77,840/7726?
Given fractions are 433/77,840/7726
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 433/77,840/7726, numerators are 433,840
Denominators are 77,7726
The GCF of 433,840 is 1 .
LCM of 77,7726 is 594902.
The greatest common factor of 433/77,840/7726 = [GCF of 433,840]/[LCM of 77,7726]= 1/594902
Therefore, the GCF of 433/77,840/7726 is 1/594902.
To find the highest common factor of 433,840, we have to find the factors of both numbers and list the highest common factor.
The factors of 433 are 1, 433
The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
The HCF of 433,840 is 1.
Lets's calculate GCF of 433,840
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 433,840 By Matching Biggest Common Factor Method
Now, list down the factors of 433
:1,433
Now, list down the factors of 840
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 433,840 . The biggest common factor number is the GCF number.
So the greatest common factor 433,840 is 1.
Lets's calculate LCM of 77,7726
Given numbers has no common factors except 1. So, there LCM is their product i.e 594902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594902
Therefore, the GCF of Fractions 433/77,840/7726 is 1/594902
Least Common Multiple of 77,7726 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 77,7726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,7726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,7726) x common factors =1 x 1 = 1
LCM(77,7726) = ( 77 × 7726 ) / 1
LCM(77,7726) = 594902 / 1
LCM(77,7726) = 594902
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 433/77, 840/7726
1. What is the HCF of 433,840?
The HCF of 433,840 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 433/77, 840/7726?
Answer: GCF of Numerators as per given numbers 433/77, 840/7726 is
GCF of Numerators i.e. for 433,840 is 1
LCM of denominators i.e. for 77,7726 is 594902.
Thus, GCF of Fractions is 1/594902.Finally, GCF of Fractions for 433/77, 840/7726 is 1/594902.