GCF of 8937/708, 1838/2206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8937/708, 1838/2206 i.e 1/780924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8937/708, 1838/2206.
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 8937/708,1838/2206?
Given fractions are 8937/708,1838/2206
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 8937/708,1838/2206, numerators are 8937,1838
Denominators are 708,2206
The GCF of 8937,1838 is 1 .
LCM of 708,2206 is 780924.
The greatest common factor of 8937/708,1838/2206 = [GCF of 8937,1838]/[LCM of 708,2206]= 1/780924
Therefore, the GCF of 8937/708,1838/2206 is 1/780924.
To find the highest common factor of 8937,1838, we have to find the factors of both numbers and list the highest common factor.
The factors of 8937 are 1, 3, 9, 27, 331, 993, 2979, 8937
The factors of 1838 are 1, 2, 919, 1838
The HCF of 8937,1838 is 1.
Lets's calculate GCF of 8937,1838
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8937,1838 By Matching Biggest Common Factor Method
Now, list down the factors of 8937
:1,3,9,27,331,993,2979,8937
Now, list down the factors of 1838
:1,2,919,1838
Greatest Common Factor
We found the factors 8937,1838 . The biggest common factor number is the GCF number.
So the greatest common factor 8937,1838 is 1.
Lets's calculate LCM of 708,2206
| 2 | 708, 2206 |
| 354, 1103 |
∴ So the LCM of the given numbers is 2 x 354 x 1103 = 780924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/780924
Therefore, the GCF of Fractions 8937/708,1838/2206 is 1/780924
Least Common Multiple of 708,2206 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 708,2206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,2206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(708,2206) x common factors =2 x 1 = 2
LCM(708,2206) = ( 708 × 2206 ) / 2
LCM(708,2206) = 1561848 / 2
LCM(708,2206) = 780924
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8937/708, 1838/2206
1. What is the HCF of 8937,1838?
The HCF of 8937,1838 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 8937/708, 1838/2206?
Answer: GCF of Numerators as per given numbers 8937/708, 1838/2206 is
GCF of Numerators i.e. for 8937,1838 is 1
LCM of denominators i.e. for 708,2206 is 780924.
Thus, GCF of Fractions is 1/780924.Finally, GCF of Fractions for 8937/708, 1838/2206 is 1/780924.