Use our free GCF of Fractions Calculator tool to compute the GCF of 996/886, 703/698 i.e 1/309214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/886, 703/698.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 996/886,703/698
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 996/886,703/698, numerators are 996,703
Denominators are 886,698
The GCF of 996,703 is 1 .
LCM of 886,698 is 309214.
The greatest common factor of 996/886,703/698 = [GCF of 996,703]/[LCM of 886,698]= 1/309214
Therefore, the GCF of 996/886,703/698 is 1/309214.
To find the highest common factor of 996,703, we have to find the factors of both numbers and list the highest common factor.
The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
The factors of 703 are 1, 19, 37, 703
The HCF of 996,703 is 1.
Lets's calculate GCF of 996,703
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 996
:1,2,3,4,6,12,83,166,249,332,498,996
Now, list down the factors of 703
:1,19,37,703
Greatest Common Factor
We found the factors 996,703 . The biggest common factor number is the GCF number.
So the greatest common factor 996,703 is 1.
Lets's calculate LCM of 886,698
2 | 886, 698 |
443, 349 |
∴ So the LCM of the given numbers is 2 x 443 x 349 = 309214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309214
Therefore, the GCF of Fractions 996/886,703/698 is 1/309214
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 886,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,698) x common factors =2 x 1 = 2
LCM(886,698) = ( 886 × 698 ) / 2
LCM(886,698) = 618428 / 2
LCM(886,698) = 309214
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 996,703?
The HCF of 996,703 is 1
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 996/886, 703/698?
Answer: GCF of Numerators as per given numbers 996/886, 703/698 is
GCF of Numerators i.e. for 996,703 is 1
LCM of denominators i.e. for 886,698 is 309214.
Thus, GCF of Fractions is 1/309214.Finally, GCF of Fractions for 996/886, 703/698 is 1/309214.