Use our free GCF of Fractions Calculator tool to compute the GCF of 292/119, 876/209 i.e 292/24871 easily. The following is the detailed procedure to determine the greatest common factor of fractions 292/119, 876/209.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 292/119,876/209
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 292/119,876/209, numerators are 292,876
Denominators are 119,209
The GCF of 292,876 is 292 .
LCM of 119,209 is 24871.
The greatest common factor of 292/119,876/209 = [GCF of 292,876]/[LCM of 119,209]= 292/24871
Therefore, the GCF of 292/119,876/209 is 292/24871.
To find the highest common factor of 292,876, we have to find the factors of both numbers and list the highest common factor.
The factors of 292 are 1, 2, 4, 73, 146, 292
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The HCF of 292,876 is 292.
Lets's calculate GCF of 292,876
2 | 292, 876 |
2 | 146, 438 |
73 | 73, 219 |
1, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 73 = 292
Now, list down the factors of 292
:1,2,4,73,146,292
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 292,876 . The biggest common factor number is the GCF number.
So the greatest common factor 292,876 is 292.
Lets's calculate LCM of 119,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 24871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 292/24871
Therefore, the GCF of Fractions 292/119,876/209 is 292/24871
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 119,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,209) x common factors =1 x 1 = 1
LCM(119,209) = ( 119 × 209 ) / 1
LCM(119,209) = 24871 / 1
LCM(119,209) = 24871
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 292,876?
The HCF of 292,876 is 292
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 292/119, 876/209?
Answer: GCF of Numerators as per given numbers 292/119, 876/209 is
GCF of Numerators i.e. for 292,876 is 292
LCM of denominators i.e. for 119,209 is 24871.
Thus, GCF of Fractions is 292/24871.Finally, GCF of Fractions for 292/119, 876/209 is 292/24871.