Use our free GCF of Fractions Calculator tool to compute the GCF of 1862/268, 3172/4472 i.e 2/299624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1862/268, 3172/4472.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1862/268,3172/4472
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 1862/268,3172/4472, numerators are 1862,3172
Denominators are 268,4472
The GCF of 1862,3172 is 2 .
LCM of 268,4472 is 299624.
The greatest common factor of 1862/268,3172/4472 = [GCF of 1862,3172]/[LCM of 268,4472]= 2/299624
Therefore, the GCF of 1862/268,3172/4472 is 2/299624.
To find the highest common factor of 1862,3172, we have to find the factors of both numbers and list the highest common factor.
The factors of 1862 are 1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862
The factors of 3172 are 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172
The HCF of 1862,3172 is 2.
Lets's calculate GCF of 1862,3172
2 | 1862, 3172 |
931, 1586 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 1862
:1,2,7,14,19,38,49,98,133,266,931,1862
Now, list down the factors of 3172
:1,2,4,13,26,52,61,122,244,793,1586,3172
Greatest Common Factor
We found the factors 1862,3172 . The biggest common factor number is the GCF number.
So the greatest common factor 1862,3172 is 2.
Lets's calculate LCM of 268,4472
2 | 268, 4472 |
2 | 134, 2236 |
67, 1118 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 1118 = 299624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/299624
Therefore, the GCF of Fractions 1862/268,3172/4472 is 2/299624
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 268,4472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,4472) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(268,4472) x common factors =4 x 1 = 4
LCM(268,4472) = ( 268 × 4472 ) / 4
LCM(268,4472) = 1198496 / 4
LCM(268,4472) = 299624
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1862,3172?
The HCF of 1862,3172 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 1862/268, 3172/4472?
Answer: GCF of Numerators as per given numbers 1862/268, 3172/4472 is
GCF of Numerators i.e. for 1862,3172 is 2
LCM of denominators i.e. for 268,4472 is 299624.
Thus, GCF of Fractions is 2/299624.Finally, GCF of Fractions for 1862/268, 3172/4472 is 2/299624.