Use our free GCF of Fractions Calculator tool to compute the GCF of 700/445, 763/937 i.e 7/416965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 700/445, 763/937.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 700/445,763/937
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 700/445,763/937, numerators are 700,763
Denominators are 445,937
The GCF of 700,763 is 7 .
LCM of 445,937 is 416965.
The greatest common factor of 700/445,763/937 = [GCF of 700,763]/[LCM of 445,937]= 7/416965
Therefore, the GCF of 700/445,763/937 is 7/416965.
To find the highest common factor of 700,763, 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 763 are 1, 7, 109, 763
The HCF of 700,763 is 7.
Lets's calculate GCF of 700,763
7 | 700, 763 |
100, 109 |
∴ So the GCF of the given numbers is 7 = 7
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 763
:1,7,109,763
Greatest Common Factor
We found the factors 700,763 . The biggest common factor number is the GCF number.
So the greatest common factor 700,763 is 7.
Lets's calculate LCM of 445,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 416965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/416965
Therefore, the GCF of Fractions 700/445,763/937 is 7/416965
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 445,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(445,937) x common factors =1 x 1 = 1
LCM(445,937) = ( 445 × 937 ) / 1
LCM(445,937) = 416965 / 1
LCM(445,937) = 416965
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 700,763?
The HCF of 700,763 is 7
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 700/445, 763/937?
Answer: GCF of Numerators as per given numbers 700/445, 763/937 is
GCF of Numerators i.e. for 700,763 is 7
LCM of denominators i.e. for 445,937 is 416965.
Thus, GCF of Fractions is 7/416965.Finally, GCF of Fractions for 700/445, 763/937 is 7/416965.