GCF of 3836/938, 6034/2114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3836/938, 6034/2114 i.e 14/141638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3836/938, 6034/2114.
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 3836/938,6034/2114?
Given fractions are 3836/938,6034/2114
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 3836/938,6034/2114, numerators are 3836,6034
Denominators are 938,2114
The GCF of 3836,6034 is 14 .
LCM of 938,2114 is 141638.
The greatest common factor of 3836/938,6034/2114 = [GCF of 3836,6034]/[LCM of 938,2114]= 14/141638
Therefore, the GCF of 3836/938,6034/2114 is 14/141638.
To find the highest common factor of 3836,6034, we have to find the factors of both numbers and list the highest common factor.
The factors of 3836 are 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918, 3836
The factors of 6034 are 1, 2, 7, 14, 431, 862, 3017, 6034
The HCF of 3836,6034 is 14.
Lets's calculate GCF of 3836,6034
| 2 | 3836, 6034 |
| 7 | 1918, 3017 |
| 274, 431 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 3836,6034 By Matching Biggest Common Factor Method
Now, list down the factors of 3836
:1,2,4,7,14,28,137,274,548,959,1918,3836
Now, list down the factors of 6034
:1,2,7,14,431,862,3017,6034
Greatest Common Factor
We found the factors 3836,6034 . The biggest common factor number is the GCF number.
So the greatest common factor 3836,6034 is 14.
Lets's calculate LCM of 938,2114
| 2 | 938, 2114 |
| 7 | 469, 1057 |
| 67, 151 |
∴ So the LCM of the given numbers is 2 x 7 x 67 x 151 = 141638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/141638
Therefore, the GCF of Fractions 3836/938,6034/2114 is 14/141638
Least Common Multiple of 938,2114 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 938,2114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,2114) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(938,2114) x common factors =14 x 1 = 14
LCM(938,2114) = ( 938 × 2114 ) / 14
LCM(938,2114) = 1982932 / 14
LCM(938,2114) = 141638
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3836/938, 6034/2114
1. What is the HCF of 3836,6034?
The HCF of 3836,6034 is 14
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 3836/938, 6034/2114?
Answer: GCF of Numerators as per given numbers 3836/938, 6034/2114 is
GCF of Numerators i.e. for 3836,6034 is 14
LCM of denominators i.e. for 938,2114 is 141638.
Thus, GCF of Fractions is 14/141638.Finally, GCF of Fractions for 3836/938, 6034/2114 is 14/141638.