Use our free GCF of Fractions Calculator tool to compute the GCF of 525/137, 114/528 i.e 3/72336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 525/137, 114/528.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 525/137,114/528
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 525/137,114/528, numerators are 525,114
Denominators are 137,528
The GCF of 525,114 is 3 .
LCM of 137,528 is 72336.
The greatest common factor of 525/137,114/528 = [GCF of 525,114]/[LCM of 137,528]= 3/72336
Therefore, the GCF of 525/137,114/528 is 3/72336.
To find the highest common factor of 525,114, we have to find the factors of both numbers and list the highest common factor.
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The HCF of 525,114 is 3.
Lets's calculate GCF of 525,114
3 | 525, 114 |
175, 38 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 525,114 . The biggest common factor number is the GCF number.
So the greatest common factor 525,114 is 3.
Lets's calculate LCM of 137,528
Given numbers has no common factors except 1. So, there LCM is their product i.e 72336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/72336
Therefore, the GCF of Fractions 525/137,114/528 is 3/72336
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 137,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,528) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,528) x common factors =1 x 1 = 1
LCM(137,528) = ( 137 × 528 ) / 1
LCM(137,528) = 72336 / 1
LCM(137,528) = 72336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 525,114?
The HCF of 525,114 is 3
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 525/137, 114/528?
Answer: GCF of Numerators as per given numbers 525/137, 114/528 is
GCF of Numerators i.e. for 525,114 is 3
LCM of denominators i.e. for 137,528 is 72336.
Thus, GCF of Fractions is 3/72336.Finally, GCF of Fractions for 525/137, 114/528 is 3/72336.