Use our free GCF of Fractions Calculator tool to compute the GCF of 1768/304, 4358/5831 i.e 2/1772624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1768/304, 4358/5831.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1768/304,4358/5831
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 1768/304,4358/5831, numerators are 1768,4358
Denominators are 304,5831
The GCF of 1768,4358 is 2 .
LCM of 304,5831 is 1772624.
The greatest common factor of 1768/304,4358/5831 = [GCF of 1768,4358]/[LCM of 304,5831]= 2/1772624
Therefore, the GCF of 1768/304,4358/5831 is 2/1772624.
To find the highest common factor of 1768,4358, we have to find the factors of both numbers and list the highest common factor.
The factors of 1768 are 1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 221, 442, 884, 1768
The factors of 4358 are 1, 2, 2179, 4358
The HCF of 1768,4358 is 2.
Lets's calculate GCF of 1768,4358
2 | 1768, 4358 |
884, 2179 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 1768
:1,2,4,8,13,17,26,34,52,68,104,136,221,442,884,1768
Now, list down the factors of 4358
:1,2,2179,4358
Greatest Common Factor
We found the factors 1768,4358 . The biggest common factor number is the GCF number.
So the greatest common factor 1768,4358 is 2.
Lets's calculate LCM of 304,5831
Given numbers has no common factors except 1. So, there LCM is their product i.e 1772624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1772624
Therefore, the GCF of Fractions 1768/304,4358/5831 is 2/1772624
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 304,5831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,5831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,5831) x common factors =1 x 1 = 1
LCM(304,5831) = ( 304 × 5831 ) / 1
LCM(304,5831) = 1772624 / 1
LCM(304,5831) = 1772624
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1768,4358?
The HCF of 1768,4358 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 1768/304, 4358/5831?
Answer: GCF of Numerators as per given numbers 1768/304, 4358/5831 is
GCF of Numerators i.e. for 1768,4358 is 2
LCM of denominators i.e. for 304,5831 is 1772624.
Thus, GCF of Fractions is 2/1772624.Finally, GCF of Fractions for 1768/304, 4358/5831 is 2/1772624.