Use our free GCF of Fractions Calculator tool to compute the GCF of 34/118, 64/243, 808/751 i.e 2/21534174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/118, 64/243, 808/751.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/118,64/243,808/751
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 34/118,64/243,808/751, numerators are 34,64,808
Denominators are 118,243,751
The GCF of 34,64,808 is 2 .
LCM of 118,243,751 is 21534174.
The greatest common factor of 34/118,64/243,808/751 = [GCF of 34,64,808]/[LCM of 118,243,751]= 2/21534174
Therefore, the GCF of 34/118,64/243,808/751 is 2/21534174.
To find the highest common factor of 34,64,808, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The HCF of 34,64,808 is 2.
Lets's calculate GCF of 34,64,808
2 | 34, 64, 808 |
17, 32, 404 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 34,64,808 . The biggest common factor number is the GCF number.
So the greatest common factor 34,64,808 is 2.
Lets's calculate LCM of 118,243,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 21534174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21534174
Therefore, the GCF of Fractions 34/118,64/243,808/751 is 2/21534174
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 118,243,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,243,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(118,243,751) x common factors =1 x 1 = 1
LCM(118,243,751) = ( 118 × 243 × 751 ) / 1
LCM(118,243,751) = 21534174 / 1
LCM(118,243,751) = 21534174
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 34,64,808?
The HCF of 34,64,808 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 34/118, 64/243, 808/751?
Answer: GCF of Numerators as per given numbers 34/118, 64/243, 808/751 is
GCF of Numerators i.e. for 34,64,808 is 2
LCM of denominators i.e. for 118,243,751 is 21534174.
Thus, GCF of Fractions is 2/21534174.Finally, GCF of Fractions for 34/118, 64/243, 808/751 is 2/21534174.