GCF of 9038/112, 5556/6720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9038/112, 5556/6720 i.e 2/6720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9038/112, 5556/6720.
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 9038/112,5556/6720?
Given fractions are 9038/112,5556/6720
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 9038/112,5556/6720, numerators are 9038,5556
Denominators are 112,6720
The GCF of 9038,5556 is 2 .
LCM of 112,6720 is 6720.
The greatest common factor of 9038/112,5556/6720 = [GCF of 9038,5556]/[LCM of 112,6720]= 2/6720
Therefore, the GCF of 9038/112,5556/6720 is 2/6720.
To find the highest common factor of 9038,5556, we have to find the factors of both numbers and list the highest common factor.
The factors of 9038 are 1, 2, 4519, 9038
The factors of 5556 are 1, 2, 3, 4, 6, 12, 463, 926, 1389, 1852, 2778, 5556
The HCF of 9038,5556 is 2.
Lets's calculate GCF of 9038,5556
| 2 | 9038, 5556 |
| 4519, 2778 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9038,5556 By Matching Biggest Common Factor Method
Now, list down the factors of 9038
:1,2,4519,9038
Now, list down the factors of 5556
:1,2,3,4,6,12,463,926,1389,1852,2778,5556
Greatest Common Factor
We found the factors 9038,5556 . The biggest common factor number is the GCF number.
So the greatest common factor 9038,5556 is 2.
Lets's calculate LCM of 112,6720
| 2 | 112, 6720 |
| 2 | 56, 3360 |
| 2 | 28, 1680 |
| 2 | 14, 840 |
| 7 | 7, 420 |
| 1, 60 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 1 x 60 = 6720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6720
Therefore, the GCF of Fractions 9038/112,5556/6720 is 2/6720
Least Common Multiple of 112,6720 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 112,6720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,6720) = 112
common factors(in case of two or more numbers have common factors) = 1
GCF(112,6720) x common factors =112 x 1 = 112
LCM(112,6720) = ( 112 × 6720 ) / 112
LCM(112,6720) = 752640 / 112
LCM(112,6720) = 6720
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9038/112, 5556/6720
1. What is the HCF of 9038,5556?
The HCF of 9038,5556 is 2
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 9038/112, 5556/6720?
Answer: GCF of Numerators as per given numbers 9038/112, 5556/6720 is
GCF of Numerators i.e. for 9038,5556 is 2
LCM of denominators i.e. for 112,6720 is 6720.
Thus, GCF of Fractions is 2/6720.Finally, GCF of Fractions for 9038/112, 5556/6720 is 2/6720.