GCF of 5309/435, 8676/6213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5309/435, 8676/6213 i.e 1/900885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5309/435, 8676/6213.
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 5309/435,8676/6213?
Given fractions are 5309/435,8676/6213
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 5309/435,8676/6213, numerators are 5309,8676
Denominators are 435,6213
The GCF of 5309,8676 is 1 .
LCM of 435,6213 is 900885.
The greatest common factor of 5309/435,8676/6213 = [GCF of 5309,8676]/[LCM of 435,6213]= 1/900885
Therefore, the GCF of 5309/435,8676/6213 is 1/900885.
To find the highest common factor of 5309,8676, we have to find the factors of both numbers and list the highest common factor.
The factors of 5309 are 1, 5309
The factors of 8676 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 8676
The HCF of 5309,8676 is 1.
Lets's calculate GCF of 5309,8676
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5309,8676 By Matching Biggest Common Factor Method
Now, list down the factors of 5309
:1,5309
Now, list down the factors of 8676
:1,2,3,4,6,9,12,18,36,241,482,723,964,1446,2169,2892,4338,8676
Greatest Common Factor
We found the factors 5309,8676 . The biggest common factor number is the GCF number.
So the greatest common factor 5309,8676 is 1.
Lets's calculate LCM of 435,6213
| 3 | 435, 6213 |
| 145, 2071 |
∴ So the LCM of the given numbers is 3 x 145 x 2071 = 900885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/900885
Therefore, the GCF of Fractions 5309/435,8676/6213 is 1/900885
Least Common Multiple of 435,6213 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 435,6213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,6213) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(435,6213) x common factors =3 x 1 = 3
LCM(435,6213) = ( 435 × 6213 ) / 3
LCM(435,6213) = 2702655 / 3
LCM(435,6213) = 900885
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5309/435, 8676/6213
1. What is the HCF of 5309,8676?
The HCF of 5309,8676 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 5309/435, 8676/6213?
Answer: GCF of Numerators as per given numbers 5309/435, 8676/6213 is
GCF of Numerators i.e. for 5309,8676 is 1
LCM of denominators i.e. for 435,6213 is 900885.
Thus, GCF of Fractions is 1/900885.Finally, GCF of Fractions for 5309/435, 8676/6213 is 1/900885.