Use our free GCF of Fractions Calculator tool to compute the GCF of 979/149, 534/165 i.e 89/24585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 979/149, 534/165.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 979/149,534/165
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 979/149,534/165, numerators are 979,534
Denominators are 149,165
The GCF of 979,534 is 89 .
LCM of 149,165 is 24585.
The greatest common factor of 979/149,534/165 = [GCF of 979,534]/[LCM of 149,165]= 89/24585
Therefore, the GCF of 979/149,534/165 is 89/24585.
To find the highest common factor of 979,534, 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 534 are 1, 2, 3, 6, 89, 178, 267, 534
The HCF of 979,534 is 89.
Lets's calculate GCF of 979,534
89 | 979, 534 |
11, 6 |
∴ So the GCF of the given numbers is 89 = 89
Now, list down the factors of 979
:1,11,89,979
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 979,534 . The biggest common factor number is the GCF number.
So the greatest common factor 979,534 is 89.
Lets's calculate LCM of 149,165
Given numbers has no common factors except 1. So, there LCM is their product i.e 24585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/24585
Therefore, the GCF of Fractions 979/149,534/165 is 89/24585
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 149,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,165) x common factors =1 x 1 = 1
LCM(149,165) = ( 149 × 165 ) / 1
LCM(149,165) = 24585 / 1
LCM(149,165) = 24585
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 979,534?
The HCF of 979,534 is 89
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 979/149, 534/165?
Answer: GCF of Numerators as per given numbers 979/149, 534/165 is
GCF of Numerators i.e. for 979,534 is 89
LCM of denominators i.e. for 149,165 is 24585.
Thus, GCF of Fractions is 89/24585.Finally, GCF of Fractions for 979/149, 534/165 is 89/24585.