GCF of 499/76, 691/411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 499/76, 691/411 i.e 1/31236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 499/76, 691/411.
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 499/76,691/411?
Given fractions are 499/76,691/411
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 499/76,691/411, numerators are 499,691
Denominators are 76,411
The GCF of 499,691 is 1 .
LCM of 76,411 is 31236.
The greatest common factor of 499/76,691/411 = [GCF of 499,691]/[LCM of 76,411]= 1/31236
Therefore, the GCF of 499/76,691/411 is 1/31236.
To find the highest common factor of 499,691, we have to find the factors of both numbers and list the highest common factor.
The factors of 499 are 1, 499
The factors of 691 are 1, 691
The HCF of 499,691 is 1.
Lets's calculate GCF of 499,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 499,691 By Matching Biggest Common Factor Method
Now, list down the factors of 499
:1,499
Now, list down the factors of 691
:1,691
Greatest Common Factor
We found the factors 499,691 . The biggest common factor number is the GCF number.
So the greatest common factor 499,691 is 1.
Lets's calculate LCM of 76,411
Given numbers has no common factors except 1. So, there LCM is their product i.e 31236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31236
Therefore, the GCF of Fractions 499/76,691/411 is 1/31236
Least Common Multiple of 76,411 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 76,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,411) x common factors =1 x 1 = 1
LCM(76,411) = ( 76 × 411 ) / 1
LCM(76,411) = 31236 / 1
LCM(76,411) = 31236
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 499/76, 691/411
1. What is the HCF of 499,691?
The HCF of 499,691 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 499/76, 691/411?
Answer: GCF of Numerators as per given numbers 499/76, 691/411 is
GCF of Numerators i.e. for 499,691 is 1
LCM of denominators i.e. for 76,411 is 31236.
Thus, GCF of Fractions is 1/31236.Finally, GCF of Fractions for 499/76, 691/411 is 1/31236.