Use our free GCF of Fractions Calculator tool to compute the GCF of 34/99, 222/47, 179/683 i.e 1/3177999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/99, 222/47, 179/683.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/99,222/47,179/683
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 34/99,222/47,179/683, numerators are 34,222,179
Denominators are 99,47,683
The GCF of 34,222,179 is 1 .
LCM of 99,47,683 is 3177999.
The greatest common factor of 34/99,222/47,179/683 = [GCF of 34,222,179]/[LCM of 99,47,683]= 1/3177999
Therefore, the GCF of 34/99,222/47,179/683 is 1/3177999.
To find the highest common factor of 34,222,179, 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 222 are 1, 2, 3, 6, 37, 74, 111, 222
The factors of 179 are 1, 179
The HCF of 34,222,179 is 1.
Lets's calculate GCF of 34,222,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 222
:1,2,3,6,37,74,111,222
Now, list down the factors of 179
:1,179
Greatest Common Factor
We found the factors 34,222,179 . The biggest common factor number is the GCF number.
So the greatest common factor 34,222,179 is 1.
Lets's calculate LCM of 99,47,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 3177999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3177999
Therefore, the GCF of Fractions 34/99,222/47,179/683 is 1/3177999
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 99,47,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,47,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,47,683) x common factors =1 x 1 = 1
LCM(99,47,683) = ( 99 × 47 × 683 ) / 1
LCM(99,47,683) = 3177999 / 1
LCM(99,47,683) = 3177999
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 34,222,179?
The HCF of 34,222,179 is 1
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 34/99, 222/47, 179/683?
Answer: GCF of Numerators as per given numbers 34/99, 222/47, 179/683 is
GCF of Numerators i.e. for 34,222,179 is 1
LCM of denominators i.e. for 99,47,683 is 3177999.
Thus, GCF of Fractions is 1/3177999.Finally, GCF of Fractions for 34/99, 222/47, 179/683 is 1/3177999.