GCF of 6722/118, 3136/3838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6722/118, 3136/3838 i.e 2/226442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6722/118, 3136/3838.
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 6722/118,3136/3838?
Given fractions are 6722/118,3136/3838
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 6722/118,3136/3838, numerators are 6722,3136
Denominators are 118,3838
The GCF of 6722,3136 is 2 .
LCM of 118,3838 is 226442.
The greatest common factor of 6722/118,3136/3838 = [GCF of 6722,3136]/[LCM of 118,3838]= 2/226442
Therefore, the GCF of 6722/118,3136/3838 is 2/226442.
To find the highest common factor of 6722,3136, we have to find the factors of both numbers and list the highest common factor.
The factors of 6722 are 1, 2, 3361, 6722
The factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136
The HCF of 6722,3136 is 2.
Lets's calculate GCF of 6722,3136
| 2 | 6722, 3136 |
| 3361, 1568 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6722,3136 By Matching Biggest Common Factor Method
Now, list down the factors of 6722
:1,2,3361,6722
Now, list down the factors of 3136
:1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136
Greatest Common Factor
We found the factors 6722,3136 . The biggest common factor number is the GCF number.
So the greatest common factor 6722,3136 is 2.
Lets's calculate LCM of 118,3838
| 2 | 118, 3838 |
| 59, 1919 |
∴ So the LCM of the given numbers is 2 x 59 x 1919 = 226442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/226442
Therefore, the GCF of Fractions 6722/118,3136/3838 is 2/226442
Least Common Multiple of 118,3838 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 118,3838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,3838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,3838) x common factors =2 x 1 = 2
LCM(118,3838) = ( 118 × 3838 ) / 2
LCM(118,3838) = 452884 / 2
LCM(118,3838) = 226442
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6722/118, 3136/3838
1. What is the HCF of 6722,3136?
The HCF of 6722,3136 is 2
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 6722/118, 3136/3838?
Answer: GCF of Numerators as per given numbers 6722/118, 3136/3838 is
GCF of Numerators i.e. for 6722,3136 is 2
LCM of denominators i.e. for 118,3838 is 226442.
Thus, GCF of Fractions is 2/226442.Finally, GCF of Fractions for 6722/118, 3136/3838 is 2/226442.