GCF of 3974/676, 6521/811
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3974/676, 6521/811 i.e 1/548236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3974/676, 6521/811.
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 3974/676,6521/811?
Given fractions are 3974/676,6521/811
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 3974/676,6521/811, numerators are 3974,6521
Denominators are 676,811
The GCF of 3974,6521 is 1 .
LCM of 676,811 is 548236.
The greatest common factor of 3974/676,6521/811 = [GCF of 3974,6521]/[LCM of 676,811]= 1/548236
Therefore, the GCF of 3974/676,6521/811 is 1/548236.
To find the highest common factor of 3974,6521, we have to find the factors of both numbers and list the highest common factor.
The factors of 3974 are 1, 2, 1987, 3974
The factors of 6521 are 1, 6521
The HCF of 3974,6521 is 1.
Lets's calculate GCF of 3974,6521
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3974,6521 By Matching Biggest Common Factor Method
Now, list down the factors of 3974
:1,2,1987,3974
Now, list down the factors of 6521
:1,6521
Greatest Common Factor
We found the factors 3974,6521 . The biggest common factor number is the GCF number.
So the greatest common factor 3974,6521 is 1.
Lets's calculate LCM of 676,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 548236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/548236
Therefore, the GCF of Fractions 3974/676,6521/811 is 1/548236
Least Common Multiple of 676,811 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 676,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(676,811) x common factors =1 x 1 = 1
LCM(676,811) = ( 676 × 811 ) / 1
LCM(676,811) = 548236 / 1
LCM(676,811) = 548236
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3974/676, 6521/811
1. What is the HCF of 3974,6521?
The HCF of 3974,6521 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 3974/676, 6521/811?
Answer: GCF of Numerators as per given numbers 3974/676, 6521/811 is
GCF of Numerators i.e. for 3974,6521 is 1
LCM of denominators i.e. for 676,811 is 548236.
Thus, GCF of Fractions is 1/548236.Finally, GCF of Fractions for 3974/676, 6521/811 is 1/548236.