GCF of 1136/275, 9960/1529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1136/275, 9960/1529 i.e 8/38225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1136/275, 9960/1529.
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 1136/275,9960/1529?
Given fractions are 1136/275,9960/1529
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 1136/275,9960/1529, numerators are 1136,9960
Denominators are 275,1529
The GCF of 1136,9960 is 8 .
LCM of 275,1529 is 38225.
The greatest common factor of 1136/275,9960/1529 = [GCF of 1136,9960]/[LCM of 275,1529]= 8/38225
Therefore, the GCF of 1136/275,9960/1529 is 8/38225.
To find the highest common factor of 1136,9960, we have to find the factors of both numbers and list the highest common factor.
The factors of 1136 are 1, 2, 4, 8, 16, 71, 142, 284, 568, 1136
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 1136,9960 is 8.
Lets's calculate GCF of 1136,9960
| 2 | 1136, 9960 |
| 2 | 568, 4980 |
| 2 | 284, 2490 |
| 142, 1245 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1136,9960 By Matching Biggest Common Factor Method
Now, list down the factors of 1136
:1,2,4,8,16,71,142,284,568,1136
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 1136,9960 . The biggest common factor number is the GCF number.
So the greatest common factor 1136,9960 is 8.
Lets's calculate LCM of 275,1529
| 11 | 275, 1529 |
| 25, 139 |
∴ So the LCM of the given numbers is 11 x 25 x 139 = 38225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/38225
Therefore, the GCF of Fractions 1136/275,9960/1529 is 8/38225
Least Common Multiple of 275,1529 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 275,1529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,1529) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(275,1529) x common factors =11 x 1 = 11
LCM(275,1529) = ( 275 × 1529 ) / 11
LCM(275,1529) = 420475 / 11
LCM(275,1529) = 38225
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FAQs on GCF of Fractions of 1136/275, 9960/1529
1. What is the HCF of 1136,9960?
The HCF of 1136,9960 is 8
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 1136/275, 9960/1529?
Answer: GCF of Numerators as per given numbers 1136/275, 9960/1529 is
GCF of Numerators i.e. for 1136,9960 is 8
LCM of denominators i.e. for 275,1529 is 38225.
Thus, GCF of Fractions is 8/38225.Finally, GCF of Fractions for 1136/275, 9960/1529 is 8/38225.