Use our free GCF of Fractions Calculator tool to compute the GCF of 98/19, 224/15, 525/289 i.e 7/82365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/19, 224/15, 525/289.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/19,224/15,525/289
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 98/19,224/15,525/289, numerators are 98,224,525
Denominators are 19,15,289
The GCF of 98,224,525 is 7 .
LCM of 19,15,289 is 82365.
The greatest common factor of 98/19,224/15,525/289 = [GCF of 98,224,525]/[LCM of 19,15,289]= 7/82365
Therefore, the GCF of 98/19,224/15,525/289 is 7/82365.
To find the highest common factor of 98,224,525, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The HCF of 98,224,525 is 7.
Lets's calculate GCF of 98,224,525
7 | 98, 224, 525 |
14, 32, 75 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 224
:1,2,4,7,8,14,16,28,32,56,112,224
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 98,224,525 . The biggest common factor number is the GCF number.
So the greatest common factor 98,224,525 is 7.
Lets's calculate LCM of 19,15,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 82365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/82365
Therefore, the GCF of Fractions 98/19,224/15,525/289 is 7/82365
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 19,15,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,15,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,15,289) x common factors =1 x 1 = 1
LCM(19,15,289) = ( 19 × 15 × 289 ) / 1
LCM(19,15,289) = 82365 / 1
LCM(19,15,289) = 82365
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 98,224,525?
The HCF of 98,224,525 is 7
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 98/19, 224/15, 525/289?
Answer: GCF of Numerators as per given numbers 98/19, 224/15, 525/289 is
GCF of Numerators i.e. for 98,224,525 is 7
LCM of denominators i.e. for 19,15,289 is 82365.
Thus, GCF of Fractions is 7/82365.Finally, GCF of Fractions for 98/19, 224/15, 525/289 is 7/82365.