Use our free GCF of Fractions Calculator tool to compute the GCF of 4369/912, 2288/6352 i.e 1/362064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4369/912, 2288/6352.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4369/912,2288/6352
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 4369/912,2288/6352, numerators are 4369,2288
Denominators are 912,6352
The GCF of 4369,2288 is 1 .
LCM of 912,6352 is 362064.
The greatest common factor of 4369/912,2288/6352 = [GCF of 4369,2288]/[LCM of 912,6352]= 1/362064
Therefore, the GCF of 4369/912,2288/6352 is 1/362064.
To find the highest common factor of 4369,2288, we have to find the factors of both numbers and list the highest common factor.
The factors of 4369 are 1, 17, 257, 4369
The factors of 2288 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208, 286, 572, 1144, 2288
The HCF of 4369,2288 is 1.
Lets's calculate GCF of 4369,2288
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4369
:1,17,257,4369
Now, list down the factors of 2288
:1,2,4,8,11,13,16,22,26,44,52,88,104,143,176,208,286,572,1144,2288
Greatest Common Factor
We found the factors 4369,2288 . The biggest common factor number is the GCF number.
So the greatest common factor 4369,2288 is 1.
Lets's calculate LCM of 912,6352
2 | 912, 6352 |
2 | 456, 3176 |
2 | 228, 1588 |
2 | 114, 794 |
57, 397 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 57 x 397 = 362064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362064
Therefore, the GCF of Fractions 4369/912,2288/6352 is 1/362064
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 912,6352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,6352) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(912,6352) x common factors =16 x 1 = 16
LCM(912,6352) = ( 912 × 6352 ) / 16
LCM(912,6352) = 5793024 / 16
LCM(912,6352) = 362064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4369,2288?
The HCF of 4369,2288 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 4369/912, 2288/6352?
Answer: GCF of Numerators as per given numbers 4369/912, 2288/6352 is
GCF of Numerators i.e. for 4369,2288 is 1
LCM of denominators i.e. for 912,6352 is 362064.
Thus, GCF of Fractions is 1/362064.Finally, GCF of Fractions for 4369/912, 2288/6352 is 1/362064.