Use our free GCF of Fractions Calculator tool to compute the GCF of 964/429, 900/364 i.e 4/12012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 964/429, 900/364.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 964/429,900/364
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 964/429,900/364, numerators are 964,900
Denominators are 429,364
The GCF of 964,900 is 4 .
LCM of 429,364 is 12012.
The greatest common factor of 964/429,900/364 = [GCF of 964,900]/[LCM of 429,364]= 4/12012
Therefore, the GCF of 964/429,900/364 is 4/12012.
To find the highest common factor of 964,900, we have to find the factors of both numbers and list the highest common factor.
The factors of 964 are 1, 2, 4, 241, 482, 964
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The HCF of 964,900 is 4.
Lets's calculate GCF of 964,900
2 | 964, 900 |
2 | 482, 450 |
241, 225 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 964
:1,2,4,241,482,964
Now, list down the factors of 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 964,900 . The biggest common factor number is the GCF number.
So the greatest common factor 964,900 is 4.
Lets's calculate LCM of 429,364
13 | 429, 364 |
33, 28 |
∴ So the LCM of the given numbers is 13 x 33 x 28 = 12012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/12012
Therefore, the GCF of Fractions 964/429,900/364 is 4/12012
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 429,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,364) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(429,364) x common factors =13 x 1 = 13
LCM(429,364) = ( 429 × 364 ) / 13
LCM(429,364) = 156156 / 13
LCM(429,364) = 12012
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 964,900?
The HCF of 964,900 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 964/429, 900/364?
Answer: GCF of Numerators as per given numbers 964/429, 900/364 is
GCF of Numerators i.e. for 964,900 is 4
LCM of denominators i.e. for 429,364 is 12012.
Thus, GCF of Fractions is 4/12012.Finally, GCF of Fractions for 964/429, 900/364 is 4/12012.