Use our free GCF of Fractions Calculator tool to compute the GCF of 7421/950, 2704/5602 i.e 1/2660950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7421/950, 2704/5602.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7421/950,2704/5602
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 7421/950,2704/5602, numerators are 7421,2704
Denominators are 950,5602
The GCF of 7421,2704 is 1 .
LCM of 950,5602 is 2660950.
The greatest common factor of 7421/950,2704/5602 = [GCF of 7421,2704]/[LCM of 950,5602]= 1/2660950
Therefore, the GCF of 7421/950,2704/5602 is 1/2660950.
To find the highest common factor of 7421,2704, we have to find the factors of both numbers and list the highest common factor.
The factors of 7421 are 1, 41, 181, 7421
The factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704
The HCF of 7421,2704 is 1.
Lets's calculate GCF of 7421,2704
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7421
:1,41,181,7421
Now, list down the factors of 2704
:1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704
Greatest Common Factor
We found the factors 7421,2704 . The biggest common factor number is the GCF number.
So the greatest common factor 7421,2704 is 1.
Lets's calculate LCM of 950,5602
2 | 950, 5602 |
475, 2801 |
∴ So the LCM of the given numbers is 2 x 475 x 2801 = 2660950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2660950
Therefore, the GCF of Fractions 7421/950,2704/5602 is 1/2660950
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 950,5602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,5602) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(950,5602) x common factors =2 x 1 = 2
LCM(950,5602) = ( 950 × 5602 ) / 2
LCM(950,5602) = 5321900 / 2
LCM(950,5602) = 2660950
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7421,2704?
The HCF of 7421,2704 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 7421/950, 2704/5602?
Answer: GCF of Numerators as per given numbers 7421/950, 2704/5602 is
GCF of Numerators i.e. for 7421,2704 is 1
LCM of denominators i.e. for 950,5602 is 2660950.
Thus, GCF of Fractions is 1/2660950.Finally, GCF of Fractions for 7421/950, 2704/5602 is 1/2660950.