Use our free GCF of Fractions Calculator tool to compute the GCF of 6/16, 30/42, 10/700, 476/764 i.e 2/1604400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/16, 30/42, 10/700, 476/764.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/16,30/42,10/700,476/764
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 6/16,30/42,10/700,476/764, numerators are 6,30,10,476
Denominators are 16,42,700,764
The GCF of 6,30,10,476 is 2 .
LCM of 16,42,700,764 is 1604400.
The greatest common factor of 6/16,30/42,10/700,476/764 = [GCF of 6,30,10,476]/[LCM of 16,42,700,764]= 2/1604400
Therefore, the GCF of 6/16,30/42,10/700,476/764 is 2/1604400.
To find the highest common factor of 6,30,10,476, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 10 are 1, 2, 5, 10
The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
The HCF of 6,30,10,476 is 2.
Lets's calculate GCF of 6,30,10,476
2 | 6, 30, 10, 476 |
3, 15, 5, 238 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6
:1,2,3,6
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 476
:1,2,4,7,14,17,28,34,68,119,238,476
Greatest Common Factor
We found the factors 6,30,10,476 . The biggest common factor number is the GCF number.
So the greatest common factor 6,30,10,476 is 2.
Lets's calculate LCM of 16,42,700,764
2 | 16, 42, 700, 764 |
2 | 8, 21, 350, 382 |
7 | 4, 21, 175, 191 |
4, 3, 25, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 4 x 3 x 25 x 191 = 1604400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1604400
Therefore, the GCF of Fractions 6/16,30/42,10/700,476/764 is 2/1604400
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 16,42,700,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,42,700,764) = 2
common factors(in case of two or more numbers have common factors) = 112
GCF(16,42,700,764) x common factors =2 x 112 = 224
LCM(16,42,700,764) = ( 16 × 42 × 700 × 764 ) / 224
LCM(16,42,700,764) = 359385600 / 224
LCM(16,42,700,764) = 1604400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6,30,10,476?
The HCF of 6,30,10,476 is 2
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 6/16, 30/42, 10/700, 476/764?
Answer: GCF of Numerators as per given numbers 6/16, 30/42, 10/700, 476/764 is
GCF of Numerators i.e. for 6,30,10,476 is 2
LCM of denominators i.e. for 16,42,700,764 is 1604400.
Thus, GCF of Fractions is 2/1604400.Finally, GCF of Fractions for 6/16, 30/42, 10/700, 476/764 is 2/1604400.