Use our free GCF of Fractions Calculator tool to compute the GCF of 5608/526, 5409/5930 i.e 1/1559590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5608/526, 5409/5930.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5608/526,5409/5930
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 5608/526,5409/5930, numerators are 5608,5409
Denominators are 526,5930
The GCF of 5608,5409 is 1 .
LCM of 526,5930 is 1559590.
The greatest common factor of 5608/526,5409/5930 = [GCF of 5608,5409]/[LCM of 526,5930]= 1/1559590
Therefore, the GCF of 5608/526,5409/5930 is 1/1559590.
To find the highest common factor of 5608,5409, we have to find the factors of both numbers and list the highest common factor.
The factors of 5608 are 1, 2, 4, 8, 701, 1402, 2804, 5608
The factors of 5409 are 1, 3, 9, 601, 1803, 5409
The HCF of 5608,5409 is 1.
Lets's calculate GCF of 5608,5409
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5608
:1,2,4,8,701,1402,2804,5608
Now, list down the factors of 5409
:1,3,9,601,1803,5409
Greatest Common Factor
We found the factors 5608,5409 . The biggest common factor number is the GCF number.
So the greatest common factor 5608,5409 is 1.
Lets's calculate LCM of 526,5930
2 | 526, 5930 |
263, 2965 |
∴ So the LCM of the given numbers is 2 x 263 x 2965 = 1559590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1559590
Therefore, the GCF of Fractions 5608/526,5409/5930 is 1/1559590
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 526,5930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,5930) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,5930) x common factors =2 x 1 = 2
LCM(526,5930) = ( 526 × 5930 ) / 2
LCM(526,5930) = 3119180 / 2
LCM(526,5930) = 1559590
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5608,5409?
The HCF of 5608,5409 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 5608/526, 5409/5930?
Answer: GCF of Numerators as per given numbers 5608/526, 5409/5930 is
GCF of Numerators i.e. for 5608,5409 is 1
LCM of denominators i.e. for 526,5930 is 1559590.
Thus, GCF of Fractions is 1/1559590.Finally, GCF of Fractions for 5608/526, 5409/5930 is 1/1559590.