GCF of 4845/389, 9870/7002
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4845/389, 9870/7002 i.e 15/7002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4845/389, 9870/7002.
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 4845/389,9870/7002?
Given fractions are 4845/389,9870/7002
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 4845/389,9870/7002, numerators are 4845,9870
Denominators are 389,7002
The GCF of 4845,9870 is 15 .
LCM of 389,7002 is 7002.
The greatest common factor of 4845/389,9870/7002 = [GCF of 4845,9870]/[LCM of 389,7002]= 15/7002
Therefore, the GCF of 4845/389,9870/7002 is 15/7002.
To find the highest common factor of 4845,9870, we have to find the factors of both numbers and list the highest common factor.
The factors of 4845 are 1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845
The factors of 9870 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870
The HCF of 4845,9870 is 15.
Lets's calculate GCF of 4845,9870
| 3 | 4845, 9870 |
| 5 | 1615, 3290 |
| 323, 658 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 4845,9870 By Matching Biggest Common Factor Method
Now, list down the factors of 4845
:1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845
Now, list down the factors of 9870
:1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870
Greatest Common Factor
We found the factors 4845,9870 . The biggest common factor number is the GCF number.
So the greatest common factor 4845,9870 is 15.
Lets's calculate LCM of 389,7002
| 389 | 389, 7002 |
| 1, 18 |
∴ So the LCM of the given numbers is 389 x 1 x 18 = 7002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/7002
Therefore, the GCF of Fractions 4845/389,9870/7002 is 15/7002
Least Common Multiple of 389,7002 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 389,7002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,7002) = 389
common factors(in case of two or more numbers have common factors) = 1
GCF(389,7002) x common factors =389 x 1 = 389
LCM(389,7002) = ( 389 × 7002 ) / 389
LCM(389,7002) = 2723778 / 389
LCM(389,7002) = 7002
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FAQs on GCF of Fractions of 4845/389, 9870/7002
1. What is the HCF of 4845,9870?
The HCF of 4845,9870 is 15
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 4845/389, 9870/7002?
Answer: GCF of Numerators as per given numbers 4845/389, 9870/7002 is
GCF of Numerators i.e. for 4845,9870 is 15
LCM of denominators i.e. for 389,7002 is 7002.
Thus, GCF of Fractions is 15/7002.Finally, GCF of Fractions for 4845/389, 9870/7002 is 15/7002.