Use our free GCF of Fractions Calculator tool to compute the GCF of 4282/216, 5202/8622 i.e 2/103464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4282/216, 5202/8622.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4282/216,5202/8622
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 4282/216,5202/8622, numerators are 4282,5202
Denominators are 216,8622
The GCF of 4282,5202 is 2 .
LCM of 216,8622 is 103464.
The greatest common factor of 4282/216,5202/8622 = [GCF of 4282,5202]/[LCM of 216,8622]= 2/103464
Therefore, the GCF of 4282/216,5202/8622 is 2/103464.
To find the highest common factor of 4282,5202, we have to find the factors of both numbers and list the highest common factor.
The factors of 4282 are 1, 2, 2141, 4282
The factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202
The HCF of 4282,5202 is 2.
Lets's calculate GCF of 4282,5202
2 | 4282, 5202 |
2141, 2601 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4282
:1,2,2141,4282
Now, list down the factors of 5202
:1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202
Greatest Common Factor
We found the factors 4282,5202 . The biggest common factor number is the GCF number.
So the greatest common factor 4282,5202 is 2.
Lets's calculate LCM of 216,8622
2 | 216, 8622 |
3 | 108, 4311 |
3 | 36, 1437 |
12, 479 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 12 x 479 = 103464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/103464
Therefore, the GCF of Fractions 4282/216,5202/8622 is 2/103464
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 216,8622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,8622) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(216,8622) x common factors =18 x 1 = 18
LCM(216,8622) = ( 216 × 8622 ) / 18
LCM(216,8622) = 1862352 / 18
LCM(216,8622) = 103464
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4282,5202?
The HCF of 4282,5202 is 2
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 4282/216, 5202/8622?
Answer: GCF of Numerators as per given numbers 4282/216, 5202/8622 is
GCF of Numerators i.e. for 4282,5202 is 2
LCM of denominators i.e. for 216,8622 is 103464.
Thus, GCF of Fractions is 2/103464.Finally, GCF of Fractions for 4282/216, 5202/8622 is 2/103464.