Use our free GCF of Fractions Calculator tool to compute the GCF of 700/773, 636/728 i.e 4/562744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 700/773, 636/728.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 700/773,636/728
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 700/773,636/728, numerators are 700,636
Denominators are 773,728
The GCF of 700,636 is 4 .
LCM of 773,728 is 562744.
The greatest common factor of 700/773,636/728 = [GCF of 700,636]/[LCM of 773,728]= 4/562744
Therefore, the GCF of 700/773,636/728 is 4/562744.
To find the highest common factor of 700,636, we have to find the factors of both numbers and list the highest common factor.
The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
The factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
The HCF of 700,636 is 4.
Lets's calculate GCF of 700,636
2 | 700, 636 |
2 | 350, 318 |
175, 159 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 700
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Now, list down the factors of 636
:1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 700,636 . The biggest common factor number is the GCF number.
So the greatest common factor 700,636 is 4.
Lets's calculate LCM of 773,728
Given numbers has no common factors except 1. So, there LCM is their product i.e 562744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/562744
Therefore, the GCF of Fractions 700/773,636/728 is 4/562744
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 773,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,728) x common factors =1 x 1 = 1
LCM(773,728) = ( 773 × 728 ) / 1
LCM(773,728) = 562744 / 1
LCM(773,728) = 562744
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 700,636?
The HCF of 700,636 is 4
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 700/773, 636/728?
Answer: GCF of Numerators as per given numbers 700/773, 636/728 is
GCF of Numerators i.e. for 700,636 is 4
LCM of denominators i.e. for 773,728 is 562744.
Thus, GCF of Fractions is 4/562744.Finally, GCF of Fractions for 700/773, 636/728 is 4/562744.