GCF of 535/642, 743/649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 535/642, 743/649 i.e 1/416658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 535/642, 743/649.
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 535/642,743/649?
Given fractions are 535/642,743/649
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 535/642,743/649, numerators are 535,743
Denominators are 642,649
The GCF of 535,743 is 1 .
LCM of 642,649 is 416658.
The greatest common factor of 535/642,743/649 = [GCF of 535,743]/[LCM of 642,649]= 1/416658
Therefore, the GCF of 535/642,743/649 is 1/416658.
To find the highest common factor of 535,743, we have to find the factors of both numbers and list the highest common factor.
The factors of 535 are 1, 5, 107, 535
The factors of 743 are 1, 743
The HCF of 535,743 is 1.
Lets's calculate GCF of 535,743
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 535,743 By Matching Biggest Common Factor Method
Now, list down the factors of 535
:1,5,107,535
Now, list down the factors of 743
:1,743
Greatest Common Factor
We found the factors 535,743 . The biggest common factor number is the GCF number.
So the greatest common factor 535,743 is 1.
Lets's calculate LCM of 642,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 416658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/416658
Therefore, the GCF of Fractions 535/642,743/649 is 1/416658
Least Common Multiple of 642,649 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 642,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(642,649) x common factors =1 x 1 = 1
LCM(642,649) = ( 642 × 649 ) / 1
LCM(642,649) = 416658 / 1
LCM(642,649) = 416658
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FAQs on GCF of Fractions of 535/642, 743/649
1. What is the HCF of 535,743?
The HCF of 535,743 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 535/642, 743/649?
Answer: GCF of Numerators as per given numbers 535/642, 743/649 is
GCF of Numerators i.e. for 535,743 is 1
LCM of denominators i.e. for 642,649 is 416658.
Thus, GCF of Fractions is 1/416658.Finally, GCF of Fractions for 535/642, 743/649 is 1/416658.