GCF of 9378/129, 5112/9880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9378/129, 5112/9880 i.e 18/1274520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9378/129, 5112/9880.
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 9378/129,5112/9880?
Given fractions are 9378/129,5112/9880
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 9378/129,5112/9880, numerators are 9378,5112
Denominators are 129,9880
The GCF of 9378,5112 is 18 .
LCM of 129,9880 is 1274520.
The greatest common factor of 9378/129,5112/9880 = [GCF of 9378,5112]/[LCM of 129,9880]= 18/1274520
Therefore, the GCF of 9378/129,5112/9880 is 18/1274520.
To find the highest common factor of 9378,5112, we have to find the factors of both numbers and list the highest common factor.
The factors of 9378 are 1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378
The factors of 5112 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112
The HCF of 9378,5112 is 18.
Lets's calculate GCF of 9378,5112
| 2 | 9378, 5112 |
| 3 | 4689, 2556 |
| 3 | 1563, 852 |
| 521, 284 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 9378,5112 By Matching Biggest Common Factor Method
Now, list down the factors of 9378
:1,2,3,6,9,18,521,1042,1563,3126,4689,9378
Now, list down the factors of 5112
:1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112
Greatest Common Factor
We found the factors 9378,5112 . The biggest common factor number is the GCF number.
So the greatest common factor 9378,5112 is 18.
Lets's calculate LCM of 129,9880
Given numbers has no common factors except 1. So, there LCM is their product i.e 1274520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1274520
Therefore, the GCF of Fractions 9378/129,5112/9880 is 18/1274520
Least Common Multiple of 129,9880 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 129,9880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,9880) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,9880) x common factors =1 x 1 = 1
LCM(129,9880) = ( 129 × 9880 ) / 1
LCM(129,9880) = 1274520 / 1
LCM(129,9880) = 1274520
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FAQs on GCF of Fractions of 9378/129, 5112/9880
1. What is the HCF of 9378,5112?
The HCF of 9378,5112 is 18
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 9378/129, 5112/9880?
Answer: GCF of Numerators as per given numbers 9378/129, 5112/9880 is
GCF of Numerators i.e. for 9378,5112 is 18
LCM of denominators i.e. for 129,9880 is 1274520.
Thus, GCF of Fractions is 18/1274520.Finally, GCF of Fractions for 9378/129, 5112/9880 is 18/1274520.