Use our free GCF of Fractions Calculator tool to compute the GCF of 292/751, 836/543 i.e 4/407793 easily. The following is the detailed procedure to determine the greatest common factor of fractions 292/751, 836/543.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 292/751,836/543
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 292/751,836/543, numerators are 292,836
Denominators are 751,543
The GCF of 292,836 is 4 .
LCM of 751,543 is 407793.
The greatest common factor of 292/751,836/543 = [GCF of 292,836]/[LCM of 751,543]= 4/407793
Therefore, the GCF of 292/751,836/543 is 4/407793.
To find the highest common factor of 292,836, 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 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
The HCF of 292,836 is 4.
Lets's calculate GCF of 292,836
2 | 292, 836 |
2 | 146, 418 |
73, 209 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 292
:1,2,4,73,146,292
Now, list down the factors of 836
:1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 292,836 . The biggest common factor number is the GCF number.
So the greatest common factor 292,836 is 4.
Lets's calculate LCM of 751,543
Given numbers has no common factors except 1. So, there LCM is their product i.e 407793
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/407793
Therefore, the GCF of Fractions 292/751,836/543 is 4/407793
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 751,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,543) x common factors =1 x 1 = 1
LCM(751,543) = ( 751 × 543 ) / 1
LCM(751,543) = 407793 / 1
LCM(751,543) = 407793
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 292,836?
The HCF of 292,836 is 4
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 292/751, 836/543?
Answer: GCF of Numerators as per given numbers 292/751, 836/543 is
GCF of Numerators i.e. for 292,836 is 4
LCM of denominators i.e. for 751,543 is 407793.
Thus, GCF of Fractions is 4/407793.Finally, GCF of Fractions for 292/751, 836/543 is 4/407793.