Use our free GCF of Fractions Calculator tool to compute the GCF of 9744/790, 1846/190 i.e 2/15010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9744/790, 1846/190.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9744/790,1846/190
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 9744/790,1846/190, numerators are 9744,1846
Denominators are 790,190
The GCF of 9744,1846 is 2 .
LCM of 790,190 is 15010.
The greatest common factor of 9744/790,1846/190 = [GCF of 9744,1846]/[LCM of 790,190]= 2/15010
Therefore, the GCF of 9744/790,1846/190 is 2/15010.
To find the highest common factor of 9744,1846, we have to find the factors of both numbers and list the highest common factor.
The factors of 9744 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 42, 48, 56, 58, 84, 87, 112, 116, 168, 174, 203, 232, 336, 348, 406, 464, 609, 696, 812, 1218, 1392, 1624, 2436, 3248, 4872, 9744
The factors of 1846 are 1, 2, 13, 26, 71, 142, 923, 1846
The HCF of 9744,1846 is 2.
Lets's calculate GCF of 9744,1846
2 | 9744, 1846 |
4872, 923 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 9744
:1,2,3,4,6,7,8,12,14,16,21,24,28,29,42,48,56,58,84,87,112,116,168,174,203,232,336,348,406,464,609,696,812,1218,1392,1624,2436,3248,4872,9744
Now, list down the factors of 1846
:1,2,13,26,71,142,923,1846
Greatest Common Factor
We found the factors 9744,1846 . The biggest common factor number is the GCF number.
So the greatest common factor 9744,1846 is 2.
Lets's calculate LCM of 790,190
2 | 790, 190 |
5 | 395, 95 |
79, 19 |
∴ So the LCM of the given numbers is 2 x 5 x 79 x 19 = 15010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15010
Therefore, the GCF of Fractions 9744/790,1846/190 is 2/15010
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 790,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,190) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(790,190) x common factors =10 x 1 = 10
LCM(790,190) = ( 790 × 190 ) / 10
LCM(790,190) = 150100 / 10
LCM(790,190) = 15010
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9744,1846?
The HCF of 9744,1846 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 9744/790, 1846/190?
Answer: GCF of Numerators as per given numbers 9744/790, 1846/190 is
GCF of Numerators i.e. for 9744,1846 is 2
LCM of denominators i.e. for 790,190 is 15010.
Thus, GCF of Fractions is 2/15010.Finally, GCF of Fractions for 9744/790, 1846/190 is 2/15010.