Use our free GCF of Fractions Calculator tool to compute the GCF of 1548/692, 2318/8851 i.e 2/6124892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1548/692, 2318/8851.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1548/692,2318/8851
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 1548/692,2318/8851, numerators are 1548,2318
Denominators are 692,8851
The GCF of 1548,2318 is 2 .
LCM of 692,8851 is 6124892.
The greatest common factor of 1548/692,2318/8851 = [GCF of 1548,2318]/[LCM of 692,8851]= 2/6124892
Therefore, the GCF of 1548/692,2318/8851 is 2/6124892.
To find the highest common factor of 1548,2318, we have to find the factors of both numbers and list the highest common factor.
The factors of 1548 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548
The factors of 2318 are 1, 2, 19, 38, 61, 122, 1159, 2318
The HCF of 1548,2318 is 2.
Lets's calculate GCF of 1548,2318
2 | 1548, 2318 |
774, 1159 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 1548
:1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548
Now, list down the factors of 2318
:1,2,19,38,61,122,1159,2318
Greatest Common Factor
We found the factors 1548,2318 . The biggest common factor number is the GCF number.
So the greatest common factor 1548,2318 is 2.
Lets's calculate LCM of 692,8851
Given numbers has no common factors except 1. So, there LCM is their product i.e 6124892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6124892
Therefore, the GCF of Fractions 1548/692,2318/8851 is 2/6124892
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 692,8851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,8851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,8851) x common factors =1 x 1 = 1
LCM(692,8851) = ( 692 × 8851 ) / 1
LCM(692,8851) = 6124892 / 1
LCM(692,8851) = 6124892
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1548,2318?
The HCF of 1548,2318 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 1548/692, 2318/8851?
Answer: GCF of Numerators as per given numbers 1548/692, 2318/8851 is
GCF of Numerators i.e. for 1548,2318 is 2
LCM of denominators i.e. for 692,8851 is 6124892.
Thus, GCF of Fractions is 2/6124892.Finally, GCF of Fractions for 1548/692, 2318/8851 is 2/6124892.