Use our free GCF of Fractions Calculator tool to compute the GCF of 345/238, 749/942 i.e 1/112098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 345/238, 749/942.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 345/238,749/942
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 345/238,749/942, numerators are 345,749
Denominators are 238,942
The GCF of 345,749 is 1 .
LCM of 238,942 is 112098.
The greatest common factor of 345/238,749/942 = [GCF of 345,749]/[LCM of 238,942]= 1/112098
Therefore, the GCF of 345/238,749/942 is 1/112098.
To find the highest common factor of 345,749, we have to find the factors of both numbers and list the highest common factor.
The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345
The factors of 749 are 1, 7, 107, 749
The HCF of 345,749 is 1.
Lets's calculate GCF of 345,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 345
:1,3,5,15,23,69,115,345
Now, list down the factors of 749
:1,7,107,749
Greatest Common Factor
We found the factors 345,749 . The biggest common factor number is the GCF number.
So the greatest common factor 345,749 is 1.
Lets's calculate LCM of 238,942
2 | 238, 942 |
119, 471 |
∴ So the LCM of the given numbers is 2 x 119 x 471 = 112098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112098
Therefore, the GCF of Fractions 345/238,749/942 is 1/112098
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 238,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,942) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,942) x common factors =2 x 1 = 2
LCM(238,942) = ( 238 × 942 ) / 2
LCM(238,942) = 224196 / 2
LCM(238,942) = 112098
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 345,749?
The HCF of 345,749 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 345/238, 749/942?
Answer: GCF of Numerators as per given numbers 345/238, 749/942 is
GCF of Numerators i.e. for 345,749 is 1
LCM of denominators i.e. for 238,942 is 112098.
Thus, GCF of Fractions is 1/112098.Finally, GCF of Fractions for 345/238, 749/942 is 1/112098.