GCF of 4470/249, 8334/9582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4470/249, 8334/9582 i.e 6/795306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4470/249, 8334/9582.
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 4470/249,8334/9582?
Given fractions are 4470/249,8334/9582
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 4470/249,8334/9582, numerators are 4470,8334
Denominators are 249,9582
The GCF of 4470,8334 is 6 .
LCM of 249,9582 is 795306.
The greatest common factor of 4470/249,8334/9582 = [GCF of 4470,8334]/[LCM of 249,9582]= 6/795306
Therefore, the GCF of 4470/249,8334/9582 is 6/795306.
To find the highest common factor of 4470,8334, we have to find the factors of both numbers and list the highest common factor.
The factors of 4470 are 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235, 4470
The factors of 8334 are 1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334
The HCF of 4470,8334 is 6.
Lets's calculate GCF of 4470,8334
| 2 | 4470, 8334 |
| 3 | 2235, 4167 |
| 745, 1389 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4470,8334 By Matching Biggest Common Factor Method
Now, list down the factors of 4470
:1,2,3,5,6,10,15,30,149,298,447,745,894,1490,2235,4470
Now, list down the factors of 8334
:1,2,3,6,9,18,463,926,1389,2778,4167,8334
Greatest Common Factor
We found the factors 4470,8334 . The biggest common factor number is the GCF number.
So the greatest common factor 4470,8334 is 6.
Lets's calculate LCM of 249,9582
| 3 | 249, 9582 |
| 83, 3194 |
∴ So the LCM of the given numbers is 3 x 83 x 3194 = 795306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/795306
Therefore, the GCF of Fractions 4470/249,8334/9582 is 6/795306
Least Common Multiple of 249,9582 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 249,9582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,9582) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(249,9582) x common factors =3 x 1 = 3
LCM(249,9582) = ( 249 × 9582 ) / 3
LCM(249,9582) = 2385918 / 3
LCM(249,9582) = 795306
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FAQs on GCF of Fractions of 4470/249, 8334/9582
1. What is the HCF of 4470,8334?
The HCF of 4470,8334 is 6
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 4470/249, 8334/9582?
Answer: GCF of Numerators as per given numbers 4470/249, 8334/9582 is
GCF of Numerators i.e. for 4470,8334 is 6
LCM of denominators i.e. for 249,9582 is 795306.
Thus, GCF of Fractions is 6/795306.Finally, GCF of Fractions for 4470/249, 8334/9582 is 6/795306.