GCF of 3835/700, 8133/4837
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3835/700, 8133/4837 i.e 1/483700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3835/700, 8133/4837.
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 3835/700,8133/4837?
Given fractions are 3835/700,8133/4837
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 3835/700,8133/4837, numerators are 3835,8133
Denominators are 700,4837
The GCF of 3835,8133 is 1 .
LCM of 700,4837 is 483700.
The greatest common factor of 3835/700,8133/4837 = [GCF of 3835,8133]/[LCM of 700,4837]= 1/483700
Therefore, the GCF of 3835/700,8133/4837 is 1/483700.
To find the highest common factor of 3835,8133, we have to find the factors of both numbers and list the highest common factor.
The factors of 3835 are 1, 5, 13, 59, 65, 295, 767, 3835
The factors of 8133 are 1, 3, 2711, 8133
The HCF of 3835,8133 is 1.
Lets's calculate GCF of 3835,8133
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3835,8133 By Matching Biggest Common Factor Method
Now, list down the factors of 3835
:1,5,13,59,65,295,767,3835
Now, list down the factors of 8133
:1,3,2711,8133
Greatest Common Factor
We found the factors 3835,8133 . The biggest common factor number is the GCF number.
So the greatest common factor 3835,8133 is 1.
Lets's calculate LCM of 700,4837
| 7 | 700, 4837 |
| 100, 691 |
∴ So the LCM of the given numbers is 7 x 100 x 691 = 483700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/483700
Therefore, the GCF of Fractions 3835/700,8133/4837 is 1/483700
Least Common Multiple of 700,4837 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 700,4837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,4837) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(700,4837) x common factors =7 x 1 = 7
LCM(700,4837) = ( 700 × 4837 ) / 7
LCM(700,4837) = 3385900 / 7
LCM(700,4837) = 483700
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3835/700, 8133/4837
1. What is the HCF of 3835,8133?
The HCF of 3835,8133 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 3835/700, 8133/4837?
Answer: GCF of Numerators as per given numbers 3835/700, 8133/4837 is
GCF of Numerators i.e. for 3835,8133 is 1
LCM of denominators i.e. for 700,4837 is 483700.
Thus, GCF of Fractions is 1/483700.Finally, GCF of Fractions for 3835/700, 8133/4837 is 1/483700.