Use our free GCF of Fractions Calculator tool to compute the GCF of 1113/739, 7626/7107 i.e 3/5252073 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1113/739, 7626/7107.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1113/739,7626/7107
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 1113/739,7626/7107, numerators are 1113,7626
Denominators are 739,7107
The GCF of 1113,7626 is 3 .
LCM of 739,7107 is 5252073.
The greatest common factor of 1113/739,7626/7107 = [GCF of 1113,7626]/[LCM of 739,7107]= 3/5252073
Therefore, the GCF of 1113/739,7626/7107 is 3/5252073.
To find the highest common factor of 1113,7626, we have to find the factors of both numbers and list the highest common factor.
The factors of 1113 are 1, 3, 7, 21, 53, 159, 371, 1113
The factors of 7626 are 1, 2, 3, 6, 31, 41, 62, 82, 93, 123, 186, 246, 1271, 2542, 3813, 7626
The HCF of 1113,7626 is 3.
Lets's calculate GCF of 1113,7626
3 | 1113, 7626 |
371, 2542 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 1113
:1,3,7,21,53,159,371,1113
Now, list down the factors of 7626
:1,2,3,6,31,41,62,82,93,123,186,246,1271,2542,3813,7626
Greatest Common Factor
We found the factors 1113,7626 . The biggest common factor number is the GCF number.
So the greatest common factor 1113,7626 is 3.
Lets's calculate LCM of 739,7107
Given numbers has no common factors except 1. So, there LCM is their product i.e 5252073
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5252073
Therefore, the GCF of Fractions 1113/739,7626/7107 is 3/5252073
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 739,7107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,7107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,7107) x common factors =1 x 1 = 1
LCM(739,7107) = ( 739 × 7107 ) / 1
LCM(739,7107) = 5252073 / 1
LCM(739,7107) = 5252073
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1113,7626?
The HCF of 1113,7626 is 3
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 1113/739, 7626/7107?
Answer: GCF of Numerators as per given numbers 1113/739, 7626/7107 is
GCF of Numerators i.e. for 1113,7626 is 3
LCM of denominators i.e. for 739,7107 is 5252073.
Thus, GCF of Fractions is 3/5252073.Finally, GCF of Fractions for 1113/739, 7626/7107 is 3/5252073.