GCF of 743/698, 645/777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 743/698, 645/777 i.e 1/542346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 743/698, 645/777.
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 743/698,645/777?
Given fractions are 743/698,645/777
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 743/698,645/777, numerators are 743,645
Denominators are 698,777
The GCF of 743,645 is 1 .
LCM of 698,777 is 542346.
The greatest common factor of 743/698,645/777 = [GCF of 743,645]/[LCM of 698,777]= 1/542346
Therefore, the GCF of 743/698,645/777 is 1/542346.
To find the highest common factor of 743,645, we have to find the factors of both numbers and list the highest common factor.
The factors of 743 are 1, 743
The factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645
The HCF of 743,645 is 1.
Lets's calculate GCF of 743,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 743,645 By Matching Biggest Common Factor Method
Now, list down the factors of 743
:1,743
Now, list down the factors of 645
:1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 743,645 . The biggest common factor number is the GCF number.
So the greatest common factor 743,645 is 1.
Lets's calculate LCM of 698,777
Given numbers has no common factors except 1. So, there LCM is their product i.e 542346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/542346
Therefore, the GCF of Fractions 743/698,645/777 is 1/542346
Least Common Multiple of 698,777 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 698,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(698,777) x common factors =1 x 1 = 1
LCM(698,777) = ( 698 × 777 ) / 1
LCM(698,777) = 542346 / 1
LCM(698,777) = 542346
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 743/698, 645/777
1. What is the HCF of 743,645?
The HCF of 743,645 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 743/698, 645/777?
Answer: GCF of Numerators as per given numbers 743/698, 645/777 is
GCF of Numerators i.e. for 743,645 is 1
LCM of denominators i.e. for 698,777 is 542346.
Thus, GCF of Fractions is 1/542346.Finally, GCF of Fractions for 743/698, 645/777 is 1/542346.