Use our free GCF of Fractions Calculator tool to compute the GCF of 875/430, 784/668 i.e 7/143620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 875/430, 784/668.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 875/430,784/668
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 875/430,784/668, numerators are 875,784
Denominators are 430,668
The GCF of 875,784 is 7 .
LCM of 430,668 is 143620.
The greatest common factor of 875/430,784/668 = [GCF of 875,784]/[LCM of 430,668]= 7/143620
Therefore, the GCF of 875/430,784/668 is 7/143620.
To find the highest common factor of 875,784, we have to find the factors of both numbers and list the highest common factor.
The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875
The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
The HCF of 875,784 is 7.
Lets's calculate GCF of 875,784
7 | 875, 784 |
125, 112 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 875
:1,5,7,25,35,125,175,875
Now, list down the factors of 784
:1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Greatest Common Factor
We found the factors 875,784 . The biggest common factor number is the GCF number.
So the greatest common factor 875,784 is 7.
Lets's calculate LCM of 430,668
2 | 430, 668 |
215, 334 |
∴ So the LCM of the given numbers is 2 x 215 x 334 = 143620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/143620
Therefore, the GCF of Fractions 875/430,784/668 is 7/143620
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 430,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,668) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(430,668) x common factors =2 x 1 = 2
LCM(430,668) = ( 430 × 668 ) / 2
LCM(430,668) = 287240 / 2
LCM(430,668) = 143620
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 875,784?
The HCF of 875,784 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 875/430, 784/668?
Answer: GCF of Numerators as per given numbers 875/430, 784/668 is
GCF of Numerators i.e. for 875,784 is 7
LCM of denominators i.e. for 430,668 is 143620.
Thus, GCF of Fractions is 7/143620.Finally, GCF of Fractions for 875/430, 784/668 is 7/143620.