Use our free GCF of Fractions Calculator tool to compute the GCF of 3787/488, 3246/4930 i.e 541/1202920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3787/488, 3246/4930.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3787/488,3246/4930
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 3787/488,3246/4930, numerators are 3787,3246
Denominators are 488,4930
The GCF of 3787,3246 is 541 .
LCM of 488,4930 is 1202920.
The greatest common factor of 3787/488,3246/4930 = [GCF of 3787,3246]/[LCM of 488,4930]= 541/1202920
Therefore, the GCF of 3787/488,3246/4930 is 541/1202920.
To find the highest common factor of 3787,3246, we have to find the factors of both numbers and list the highest common factor.
The factors of 3787 are 1, 7, 541, 3787
The factors of 3246 are 1, 2, 3, 6, 541, 1082, 1623, 3246
The HCF of 3787,3246 is 541.
Lets's calculate GCF of 3787,3246
541 | 3787, 3246 |
7, 6 |
∴ So the GCF of the given numbers is 541 = 541
Now, list down the factors of 3787
:1,7,541,3787
Now, list down the factors of 3246
:1,2,3,6,541,1082,1623,3246
Greatest Common Factor
We found the factors 3787,3246 . The biggest common factor number is the GCF number.
So the greatest common factor 3787,3246 is 541.
Lets's calculate LCM of 488,4930
2 | 488, 4930 |
244, 2465 |
∴ So the LCM of the given numbers is 2 x 244 x 2465 = 1202920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 541/1202920
Therefore, the GCF of Fractions 3787/488,3246/4930 is 541/1202920
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 488,4930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,4930) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(488,4930) x common factors =2 x 1 = 2
LCM(488,4930) = ( 488 × 4930 ) / 2
LCM(488,4930) = 2405840 / 2
LCM(488,4930) = 1202920
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3787,3246?
The HCF of 3787,3246 is 541
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 3787/488, 3246/4930?
Answer: GCF of Numerators as per given numbers 3787/488, 3246/4930 is
GCF of Numerators i.e. for 3787,3246 is 541
LCM of denominators i.e. for 488,4930 is 1202920.
Thus, GCF of Fractions is 541/1202920.Finally, GCF of Fractions for 3787/488, 3246/4930 is 541/1202920.