Use our free GCF of Fractions Calculator tool to compute the GCF of 536/560, 684/847 i.e 4/67760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 536/560, 684/847.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 536/560,684/847
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 536/560,684/847, numerators are 536,684
Denominators are 560,847
The GCF of 536,684 is 4 .
LCM of 560,847 is 67760.
The greatest common factor of 536/560,684/847 = [GCF of 536,684]/[LCM of 560,847]= 4/67760
Therefore, the GCF of 536/560,684/847 is 4/67760.
To find the highest common factor of 536,684, we have to find the factors of both numbers and list the highest common factor.
The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536
The factors of 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
The HCF of 536,684 is 4.
Lets's calculate GCF of 536,684
2 | 536, 684 |
2 | 268, 342 |
134, 171 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 536
:1,2,4,8,67,134,268,536
Now, list down the factors of 684
:1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Greatest Common Factor
We found the factors 536,684 . The biggest common factor number is the GCF number.
So the greatest common factor 536,684 is 4.
Lets's calculate LCM of 560,847
7 | 560, 847 |
80, 121 |
∴ So the LCM of the given numbers is 7 x 80 x 121 = 67760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/67760
Therefore, the GCF of Fractions 536/560,684/847 is 4/67760
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 560,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,847) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(560,847) x common factors =7 x 1 = 7
LCM(560,847) = ( 560 × 847 ) / 7
LCM(560,847) = 474320 / 7
LCM(560,847) = 67760
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 536,684?
The HCF of 536,684 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 536/560, 684/847?
Answer: GCF of Numerators as per given numbers 536/560, 684/847 is
GCF of Numerators i.e. for 536,684 is 4
LCM of denominators i.e. for 560,847 is 67760.
Thus, GCF of Fractions is 4/67760.Finally, GCF of Fractions for 536/560, 684/847 is 4/67760.