Use our free GCF of Fractions Calculator tool to compute the GCF of 979/574, 114/299 i.e 1/171626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 979/574, 114/299.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 979/574,114/299
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 979/574,114/299, numerators are 979,114
Denominators are 574,299
The GCF of 979,114 is 1 .
LCM of 574,299 is 171626.
The greatest common factor of 979/574,114/299 = [GCF of 979,114]/[LCM of 574,299]= 1/171626
Therefore, the GCF of 979/574,114/299 is 1/171626.
To find the highest common factor of 979,114, we have to find the factors of both numbers and list the highest common factor.
The factors of 979 are 1, 11, 89, 979
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The HCF of 979,114 is 1.
Lets's calculate GCF of 979,114
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 979
:1,11,89,979
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 979,114 . The biggest common factor number is the GCF number.
So the greatest common factor 979,114 is 1.
Lets's calculate LCM of 574,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 171626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171626
Therefore, the GCF of Fractions 979/574,114/299 is 1/171626
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 574,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(574,299) x common factors =1 x 1 = 1
LCM(574,299) = ( 574 × 299 ) / 1
LCM(574,299) = 171626 / 1
LCM(574,299) = 171626
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 979,114?
The HCF of 979,114 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 979/574, 114/299?
Answer: GCF of Numerators as per given numbers 979/574, 114/299 is
GCF of Numerators i.e. for 979,114 is 1
LCM of denominators i.e. for 574,299 is 171626.
Thus, GCF of Fractions is 1/171626.Finally, GCF of Fractions for 979/574, 114/299 is 1/171626.