Use our free GCF of Fractions Calculator tool to compute the GCF of 632/500, 948/343 i.e 316/171500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 632/500, 948/343.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 632/500,948/343
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 632/500,948/343, numerators are 632,948
Denominators are 500,343
The GCF of 632,948 is 316 .
LCM of 500,343 is 171500.
The greatest common factor of 632/500,948/343 = [GCF of 632,948]/[LCM of 500,343]= 316/171500
Therefore, the GCF of 632/500,948/343 is 316/171500.
To find the highest common factor of 632,948, we have to find the factors of both numbers and list the highest common factor.
The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The HCF of 632,948 is 316.
Lets's calculate GCF of 632,948
2 | 632, 948 |
2 | 316, 474 |
79 | 158, 237 |
2, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 79 = 316
Now, list down the factors of 632
:1,2,4,8,79,158,316,632
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 632,948 . The biggest common factor number is the GCF number.
So the greatest common factor 632,948 is 316.
Lets's calculate LCM of 500,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 171500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 316/171500
Therefore, the GCF of Fractions 632/500,948/343 is 316/171500
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 500,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,343) x common factors =1 x 1 = 1
LCM(500,343) = ( 500 × 343 ) / 1
LCM(500,343) = 171500 / 1
LCM(500,343) = 171500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 632,948?
The HCF of 632,948 is 316
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 632/500, 948/343?
Answer: GCF of Numerators as per given numbers 632/500, 948/343 is
GCF of Numerators i.e. for 632,948 is 316
LCM of denominators i.e. for 500,343 is 171500.
Thus, GCF of Fractions is 316/171500.Finally, GCF of Fractions for 632/500, 948/343 is 316/171500.