GCF of 3081/238, 7098/990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3081/238, 7098/990 i.e 39/117810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3081/238, 7098/990.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3081/238,7098/990?
Given fractions are 3081/238,7098/990
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 3081/238,7098/990, numerators are 3081,7098
Denominators are 238,990
The GCF of 3081,7098 is 39 .
LCM of 238,990 is 117810.
The greatest common factor of 3081/238,7098/990 = [GCF of 3081,7098]/[LCM of 238,990]= 39/117810
Therefore, the GCF of 3081/238,7098/990 is 39/117810.
To find the highest common factor of 3081,7098, we have to find the factors of both numbers and list the highest common factor.
The factors of 3081 are 1, 3, 13, 39, 79, 237, 1027, 3081
The factors of 7098 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098
The HCF of 3081,7098 is 39.
Lets's calculate GCF of 3081,7098
| 3 | 3081, 7098 |
| 13 | 1027, 2366 |
| 79, 182 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 3081,7098 By Matching Biggest Common Factor Method
Now, list down the factors of 3081
:1,3,13,39,79,237,1027,3081
Now, list down the factors of 7098
:1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098
Greatest Common Factor
We found the factors 3081,7098 . The biggest common factor number is the GCF number.
So the greatest common factor 3081,7098 is 39.
Lets's calculate LCM of 238,990
| 2 | 238, 990 |
| 119, 495 |
∴ So the LCM of the given numbers is 2 x 119 x 495 = 117810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/117810
Therefore, the GCF of Fractions 3081/238,7098/990 is 39/117810
Least Common Multiple of 238,990 with GCF Formula
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 238,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,990) x common factors =2 x 1 = 2
LCM(238,990) = ( 238 × 990 ) / 2
LCM(238,990) = 235620 / 2
LCM(238,990) = 117810
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3081/238, 7098/990
1. What is the HCF of 3081,7098?
The HCF of 3081,7098 is 39
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 3081/238, 7098/990?
Answer: GCF of Numerators as per given numbers 3081/238, 7098/990 is
GCF of Numerators i.e. for 3081,7098 is 39
LCM of denominators i.e. for 238,990 is 117810.
Thus, GCF of Fractions is 39/117810.Finally, GCF of Fractions for 3081/238, 7098/990 is 39/117810.