GCF of 133/656, 9960/7544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 133/656, 9960/7544 i.e 1/15088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 133/656, 9960/7544.
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 133/656,9960/7544?
Given fractions are 133/656,9960/7544
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 133/656,9960/7544, numerators are 133,9960
Denominators are 656,7544
The GCF of 133,9960 is 1 .
LCM of 656,7544 is 15088.
The greatest common factor of 133/656,9960/7544 = [GCF of 133,9960]/[LCM of 656,7544]= 1/15088
Therefore, the GCF of 133/656,9960/7544 is 1/15088.
To find the highest common factor of 133,9960, we have to find the factors of both numbers and list the highest common factor.
The factors of 133 are 1, 7, 19, 133
The factors of 9960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960
The HCF of 133,9960 is 1.
Lets's calculate GCF of 133,9960
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 133,9960 By Matching Biggest Common Factor Method
Now, list down the factors of 133
:1,7,19,133
Now, list down the factors of 9960
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960
Greatest Common Factor
We found the factors 133,9960 . The biggest common factor number is the GCF number.
So the greatest common factor 133,9960 is 1.
Lets's calculate LCM of 656,7544
| 2 | 656, 7544 |
| 2 | 328, 3772 |
| 2 | 164, 1886 |
| 41 | 82, 943 |
| 2, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 2 x 23 = 15088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15088
Therefore, the GCF of Fractions 133/656,9960/7544 is 1/15088
Least Common Multiple of 656,7544 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 656,7544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,7544) = 328
common factors(in case of two or more numbers have common factors) = 1
GCF(656,7544) x common factors =328 x 1 = 328
LCM(656,7544) = ( 656 × 7544 ) / 328
LCM(656,7544) = 4948864 / 328
LCM(656,7544) = 15088
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 133/656, 9960/7544
1. What is the HCF of 133,9960?
The HCF of 133,9960 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 133/656, 9960/7544?
Answer: GCF of Numerators as per given numbers 133/656, 9960/7544 is
GCF of Numerators i.e. for 133,9960 is 1
LCM of denominators i.e. for 656,7544 is 15088.
Thus, GCF of Fractions is 1/15088.Finally, GCF of Fractions for 133/656, 9960/7544 is 1/15088.