GCF of 3635/716, 9821/140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3635/716, 9821/140 i.e 1/25060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3635/716, 9821/140.
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 3635/716,9821/140?
Given fractions are 3635/716,9821/140
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 3635/716,9821/140, numerators are 3635,9821
Denominators are 716,140
The GCF of 3635,9821 is 1 .
LCM of 716,140 is 25060.
The greatest common factor of 3635/716,9821/140 = [GCF of 3635,9821]/[LCM of 716,140]= 1/25060
Therefore, the GCF of 3635/716,9821/140 is 1/25060.
To find the highest common factor of 3635,9821, we have to find the factors of both numbers and list the highest common factor.
The factors of 3635 are 1, 5, 727, 3635
The factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821
The HCF of 3635,9821 is 1.
Lets's calculate GCF of 3635,9821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3635,9821 By Matching Biggest Common Factor Method
Now, list down the factors of 3635
:1,5,727,3635
Now, list down the factors of 9821
:1,7,23,61,161,427,1403,9821
Greatest Common Factor
We found the factors 3635,9821 . The biggest common factor number is the GCF number.
So the greatest common factor 3635,9821 is 1.
Lets's calculate LCM of 716,140
| 2 | 716, 140 |
| 2 | 358, 70 |
| 179, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 179 x 35 = 25060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25060
Therefore, the GCF of Fractions 3635/716,9821/140 is 1/25060
Least Common Multiple of 716,140 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 716,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,140) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(716,140) x common factors =4 x 1 = 4
LCM(716,140) = ( 716 × 140 ) / 4
LCM(716,140) = 100240 / 4
LCM(716,140) = 25060
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3635/716, 9821/140
1. What is the HCF of 3635,9821?
The HCF of 3635,9821 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 3635/716, 9821/140?
Answer: GCF of Numerators as per given numbers 3635/716, 9821/140 is
GCF of Numerators i.e. for 3635,9821 is 1
LCM of denominators i.e. for 716,140 is 25060.
Thus, GCF of Fractions is 1/25060.Finally, GCF of Fractions for 3635/716, 9821/140 is 1/25060.