Use our free GCF of Fractions Calculator tool to compute the GCF of 4452/887, 7152/3943 i.e 12/3497441 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4452/887, 7152/3943.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4452/887,7152/3943
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 4452/887,7152/3943, numerators are 4452,7152
Denominators are 887,3943
The GCF of 4452,7152 is 12 .
LCM of 887,3943 is 3497441.
The greatest common factor of 4452/887,7152/3943 = [GCF of 4452,7152]/[LCM of 887,3943]= 12/3497441
Therefore, the GCF of 4452/887,7152/3943 is 12/3497441.
To find the highest common factor of 4452,7152, we have to find the factors of both numbers and list the highest common factor.
The factors of 4452 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226, 4452
The factors of 7152 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 149, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 7152
The HCF of 4452,7152 is 12.
Lets's calculate GCF of 4452,7152
2 | 4452, 7152 |
2 | 2226, 3576 |
3 | 1113, 1788 |
371, 596 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Now, list down the factors of 4452
:1,2,3,4,6,7,12,14,21,28,42,53,84,106,159,212,318,371,636,742,1113,1484,2226,4452
Now, list down the factors of 7152
:1,2,3,4,6,8,12,16,24,48,149,298,447,596,894,1192,1788,2384,3576,7152
Greatest Common Factor
We found the factors 4452,7152 . The biggest common factor number is the GCF number.
So the greatest common factor 4452,7152 is 12.
Lets's calculate LCM of 887,3943
Given numbers has no common factors except 1. So, there LCM is their product i.e 3497441
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3497441
Therefore, the GCF of Fractions 4452/887,7152/3943 is 12/3497441
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 887,3943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,3943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,3943) x common factors =1 x 1 = 1
LCM(887,3943) = ( 887 × 3943 ) / 1
LCM(887,3943) = 3497441 / 1
LCM(887,3943) = 3497441
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4452,7152?
The HCF of 4452,7152 is 12
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 4452/887, 7152/3943?
Answer: GCF of Numerators as per given numbers 4452/887, 7152/3943 is
GCF of Numerators i.e. for 4452,7152 is 12
LCM of denominators i.e. for 887,3943 is 3497441.
Thus, GCF of Fractions is 12/3497441.Finally, GCF of Fractions for 4452/887, 7152/3943 is 12/3497441.