Use our free GCF of Fractions Calculator tool to compute the GCF of 336/220, 126/967 i.e 42/212740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/220, 126/967.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 336/220,126/967
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 336/220,126/967, numerators are 336,126
Denominators are 220,967
The GCF of 336,126 is 42 .
LCM of 220,967 is 212740.
The greatest common factor of 336/220,126/967 = [GCF of 336,126]/[LCM of 220,967]= 42/212740
Therefore, the GCF of 336/220,126/967 is 42/212740.
To find the highest common factor of 336,126, we have to find the factors of both numbers and list the highest common factor.
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The HCF of 336,126 is 42.
Lets's calculate GCF of 336,126
2 | 336, 126 |
3 | 168, 63 |
7 | 56, 21 |
8, 3 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Now, list down the factors of 126
:1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 336,126 . The biggest common factor number is the GCF number.
So the greatest common factor 336,126 is 42.
Lets's calculate LCM of 220,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 212740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/212740
Therefore, the GCF of Fractions 336/220,126/967 is 42/212740
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 220,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,967) x common factors =1 x 1 = 1
LCM(220,967) = ( 220 × 967 ) / 1
LCM(220,967) = 212740 / 1
LCM(220,967) = 212740
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 336,126?
The HCF of 336,126 is 42
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 336/220, 126/967?
Answer: GCF of Numerators as per given numbers 336/220, 126/967 is
GCF of Numerators i.e. for 336,126 is 42
LCM of denominators i.e. for 220,967 is 212740.
Thus, GCF of Fractions is 42/212740.Finally, GCF of Fractions for 336/220, 126/967 is 42/212740.