Use our free GCF of Fractions Calculator tool to compute the GCF of 4525/148, 7100/6686 i.e 25/494764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4525/148, 7100/6686.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4525/148,7100/6686
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 4525/148,7100/6686, numerators are 4525,7100
Denominators are 148,6686
The GCF of 4525,7100 is 25 .
LCM of 148,6686 is 494764.
The greatest common factor of 4525/148,7100/6686 = [GCF of 4525,7100]/[LCM of 148,6686]= 25/494764
Therefore, the GCF of 4525/148,7100/6686 is 25/494764.
To find the highest common factor of 4525,7100, we have to find the factors of both numbers and list the highest common factor.
The factors of 4525 are 1, 5, 25, 181, 905, 4525
The factors of 7100 are 1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100
The HCF of 4525,7100 is 25.
Lets's calculate GCF of 4525,7100
5 | 4525, 7100 |
5 | 905, 1420 |
181, 284 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Now, list down the factors of 4525
:1,5,25,181,905,4525
Now, list down the factors of 7100
:1,2,4,5,10,20,25,50,71,100,142,284,355,710,1420,1775,3550,7100
Greatest Common Factor
We found the factors 4525,7100 . The biggest common factor number is the GCF number.
So the greatest common factor 4525,7100 is 25.
Lets's calculate LCM of 148,6686
2 | 148, 6686 |
74, 3343 |
∴ So the LCM of the given numbers is 2 x 74 x 3343 = 494764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/494764
Therefore, the GCF of Fractions 4525/148,7100/6686 is 25/494764
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 148,6686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,6686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(148,6686) x common factors =2 x 1 = 2
LCM(148,6686) = ( 148 × 6686 ) / 2
LCM(148,6686) = 989528 / 2
LCM(148,6686) = 494764
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4525,7100?
The HCF of 4525,7100 is 25
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 4525/148, 7100/6686?
Answer: GCF of Numerators as per given numbers 4525/148, 7100/6686 is
GCF of Numerators i.e. for 4525,7100 is 25
LCM of denominators i.e. for 148,6686 is 494764.
Thus, GCF of Fractions is 25/494764.Finally, GCF of Fractions for 4525/148, 7100/6686 is 25/494764.