GCF of 3819/781, 2832/7235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3819/781, 2832/7235 i.e 3/5650535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3819/781, 2832/7235.
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 3819/781,2832/7235?
Given fractions are 3819/781,2832/7235
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 3819/781,2832/7235, numerators are 3819,2832
Denominators are 781,7235
The GCF of 3819,2832 is 3 .
LCM of 781,7235 is 5650535.
The greatest common factor of 3819/781,2832/7235 = [GCF of 3819,2832]/[LCM of 781,7235]= 3/5650535
Therefore, the GCF of 3819/781,2832/7235 is 3/5650535.
To find the highest common factor of 3819,2832, we have to find the factors of both numbers and list the highest common factor.
The factors of 3819 are 1, 3, 19, 57, 67, 201, 1273, 3819
The factors of 2832 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 59, 118, 177, 236, 354, 472, 708, 944, 1416, 2832
The HCF of 3819,2832 is 3.
Lets's calculate GCF of 3819,2832
| 3 | 3819, 2832 |
| 1273, 944 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3819,2832 By Matching Biggest Common Factor Method
Now, list down the factors of 3819
:1,3,19,57,67,201,1273,3819
Now, list down the factors of 2832
:1,2,3,4,6,8,12,16,24,48,59,118,177,236,354,472,708,944,1416,2832
Greatest Common Factor
We found the factors 3819,2832 . The biggest common factor number is the GCF number.
So the greatest common factor 3819,2832 is 3.
Lets's calculate LCM of 781,7235
Given numbers has no common factors except 1. So, there LCM is their product i.e 5650535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5650535
Therefore, the GCF of Fractions 3819/781,2832/7235 is 3/5650535
Least Common Multiple of 781,7235 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 781,7235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,7235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,7235) x common factors =1 x 1 = 1
LCM(781,7235) = ( 781 × 7235 ) / 1
LCM(781,7235) = 5650535 / 1
LCM(781,7235) = 5650535
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3819/781, 2832/7235
1. What is the HCF of 3819,2832?
The HCF of 3819,2832 is 3
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 3819/781, 2832/7235?
Answer: GCF of Numerators as per given numbers 3819/781, 2832/7235 is
GCF of Numerators i.e. for 3819,2832 is 3
LCM of denominators i.e. for 781,7235 is 5650535.
Thus, GCF of Fractions is 3/5650535.Finally, GCF of Fractions for 3819/781, 2832/7235 is 3/5650535.