Use our free GCF of Fractions Calculator tool to compute the GCF of 749/298, 541/292 i.e 1/43508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 749/298, 541/292.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 749/298,541/292
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 749/298,541/292, numerators are 749,541
Denominators are 298,292
The GCF of 749,541 is 1 .
LCM of 298,292 is 43508.
The greatest common factor of 749/298,541/292 = [GCF of 749,541]/[LCM of 298,292]= 1/43508
Therefore, the GCF of 749/298,541/292 is 1/43508.
To find the highest common factor of 749,541, we have to find the factors of both numbers and list the highest common factor.
The factors of 749 are 1, 7, 107, 749
The factors of 541 are 1, 541
The HCF of 749,541 is 1.
Lets's calculate GCF of 749,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 749
:1,7,107,749
Now, list down the factors of 541
:1,541
Greatest Common Factor
We found the factors 749,541 . The biggest common factor number is the GCF number.
So the greatest common factor 749,541 is 1.
Lets's calculate LCM of 298,292
2 | 298, 292 |
149, 146 |
∴ So the LCM of the given numbers is 2 x 149 x 146 = 43508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43508
Therefore, the GCF of Fractions 749/298,541/292 is 1/43508
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 298,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,292) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,292) x common factors =2 x 1 = 2
LCM(298,292) = ( 298 × 292 ) / 2
LCM(298,292) = 87016 / 2
LCM(298,292) = 43508
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 749,541?
The HCF of 749,541 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 749/298, 541/292?
Answer: GCF of Numerators as per given numbers 749/298, 541/292 is
GCF of Numerators i.e. for 749,541 is 1
LCM of denominators i.e. for 298,292 is 43508.
Thus, GCF of Fractions is 1/43508.Finally, GCF of Fractions for 749/298, 541/292 is 1/43508.