GCF of 2641/984, 8835/7098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2641/984, 8835/7098 i.e 19/1164072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2641/984, 8835/7098.
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 2641/984,8835/7098?
Given fractions are 2641/984,8835/7098
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 2641/984,8835/7098, numerators are 2641,8835
Denominators are 984,7098
The GCF of 2641,8835 is 19 .
LCM of 984,7098 is 1164072.
The greatest common factor of 2641/984,8835/7098 = [GCF of 2641,8835]/[LCM of 984,7098]= 19/1164072
Therefore, the GCF of 2641/984,8835/7098 is 19/1164072.
To find the highest common factor of 2641,8835, we have to find the factors of both numbers and list the highest common factor.
The factors of 2641 are 1, 19, 139, 2641
The factors of 8835 are 1, 3, 5, 15, 19, 31, 57, 93, 95, 155, 285, 465, 589, 1767, 2945, 8835
The HCF of 2641,8835 is 19.
Lets's calculate GCF of 2641,8835
| 19 | 2641, 8835 |
| 139, 465 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 2641,8835 By Matching Biggest Common Factor Method
Now, list down the factors of 2641
:1,19,139,2641
Now, list down the factors of 8835
:1,3,5,15,19,31,57,93,95,155,285,465,589,1767,2945,8835
Greatest Common Factor
We found the factors 2641,8835 . The biggest common factor number is the GCF number.
So the greatest common factor 2641,8835 is 19.
Lets's calculate LCM of 984,7098
| 2 | 984, 7098 |
| 3 | 492, 3549 |
| 164, 1183 |
∴ So the LCM of the given numbers is 2 x 3 x 164 x 1183 = 1164072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1164072
Therefore, the GCF of Fractions 2641/984,8835/7098 is 19/1164072
Least Common Multiple of 984,7098 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 984,7098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,7098) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(984,7098) x common factors =6 x 1 = 6
LCM(984,7098) = ( 984 × 7098 ) / 6
LCM(984,7098) = 6984432 / 6
LCM(984,7098) = 1164072
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FAQs on GCF of Fractions of 2641/984, 8835/7098
1. What is the HCF of 2641,8835?
The HCF of 2641,8835 is 19
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 2641/984, 8835/7098?
Answer: GCF of Numerators as per given numbers 2641/984, 8835/7098 is
GCF of Numerators i.e. for 2641,8835 is 19
LCM of denominators i.e. for 984,7098 is 1164072.
Thus, GCF of Fractions is 19/1164072.Finally, GCF of Fractions for 2641/984, 8835/7098 is 19/1164072.