Use our free GCF of Fractions Calculator tool to compute the GCF of 5575/851, 7503/9118 i.e 1/7759418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5575/851, 7503/9118.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5575/851,7503/9118
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 5575/851,7503/9118, numerators are 5575,7503
Denominators are 851,9118
The GCF of 5575,7503 is 1 .
LCM of 851,9118 is 7759418.
The greatest common factor of 5575/851,7503/9118 = [GCF of 5575,7503]/[LCM of 851,9118]= 1/7759418
Therefore, the GCF of 5575/851,7503/9118 is 1/7759418.
To find the highest common factor of 5575,7503, we have to find the factors of both numbers and list the highest common factor.
The factors of 5575 are 1, 5, 25, 223, 1115, 5575
The factors of 7503 are 1, 3, 41, 61, 123, 183, 2501, 7503
The HCF of 5575,7503 is 1.
Lets's calculate GCF of 5575,7503
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5575
:1,5,25,223,1115,5575
Now, list down the factors of 7503
:1,3,41,61,123,183,2501,7503
Greatest Common Factor
We found the factors 5575,7503 . The biggest common factor number is the GCF number.
So the greatest common factor 5575,7503 is 1.
Lets's calculate LCM of 851,9118
Given numbers has no common factors except 1. So, there LCM is their product i.e 7759418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7759418
Therefore, the GCF of Fractions 5575/851,7503/9118 is 1/7759418
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 851,9118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,9118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,9118) x common factors =1 x 1 = 1
LCM(851,9118) = ( 851 × 9118 ) / 1
LCM(851,9118) = 7759418 / 1
LCM(851,9118) = 7759418
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5575,7503?
The HCF of 5575,7503 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 5575/851, 7503/9118?
Answer: GCF of Numerators as per given numbers 5575/851, 7503/9118 is
GCF of Numerators i.e. for 5575,7503 is 1
LCM of denominators i.e. for 851,9118 is 7759418.
Thus, GCF of Fractions is 1/7759418.Finally, GCF of Fractions for 5575/851, 7503/9118 is 1/7759418.