Use our free GCF of Fractions Calculator tool to compute the GCF of 862/78, 541/3202 i.e 1/124878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/78, 541/3202.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 862/78,541/3202
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 862/78,541/3202, numerators are 862,541
Denominators are 78,3202
The GCF of 862,541 is 1 .
LCM of 78,3202 is 124878.
The greatest common factor of 862/78,541/3202 = [GCF of 862,541]/[LCM of 78,3202]= 1/124878
Therefore, the GCF of 862/78,541/3202 is 1/124878.
To find the highest common factor of 862,541, we have to find the factors of both numbers and list the highest common factor.
The factors of 862 are 1, 2, 431, 862
The factors of 541 are 1, 541
The HCF of 862,541 is 1.
Lets's calculate GCF of 862,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 862
:1,2,431,862
Now, list down the factors of 541
:1,541
Greatest Common Factor
We found the factors 862,541 . The biggest common factor number is the GCF number.
So the greatest common factor 862,541 is 1.
Lets's calculate LCM of 78,3202
2 | 78, 3202 |
39, 1601 |
∴ So the LCM of the given numbers is 2 x 39 x 1601 = 124878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124878
Therefore, the GCF of Fractions 862/78,541/3202 is 1/124878
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 78,3202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,3202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,3202) x common factors =2 x 1 = 2
LCM(78,3202) = ( 78 × 3202 ) / 2
LCM(78,3202) = 249756 / 2
LCM(78,3202) = 124878
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 862,541?
The HCF of 862,541 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 862/78, 541/3202?
Answer: GCF of Numerators as per given numbers 862/78, 541/3202 is
GCF of Numerators i.e. for 862,541 is 1
LCM of denominators i.e. for 78,3202 is 124878.
Thus, GCF of Fractions is 1/124878.Finally, GCF of Fractions for 862/78, 541/3202 is 1/124878.