GCF of 9568/400, 2528/1513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9568/400, 2528/1513 i.e 32/605200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9568/400, 2528/1513.
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 9568/400,2528/1513?
Given fractions are 9568/400,2528/1513
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 9568/400,2528/1513, numerators are 9568,2528
Denominators are 400,1513
The GCF of 9568,2528 is 32 .
LCM of 400,1513 is 605200.
The greatest common factor of 9568/400,2528/1513 = [GCF of 9568,2528]/[LCM of 400,1513]= 32/605200
Therefore, the GCF of 9568/400,2528/1513 is 32/605200.
To find the highest common factor of 9568,2528, we have to find the factors of both numbers and list the highest common factor.
The factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568
The factors of 2528 are 1, 2, 4, 8, 16, 32, 79, 158, 316, 632, 1264, 2528
The HCF of 9568,2528 is 32.
Lets's calculate GCF of 9568,2528
| 2 | 9568, 2528 |
| 2 | 4784, 1264 |
| 2 | 2392, 632 |
| 2 | 1196, 316 |
| 2 | 598, 158 |
| 299, 79 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 9568,2528 By Matching Biggest Common Factor Method
Now, list down the factors of 9568
:1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568
Now, list down the factors of 2528
:1,2,4,8,16,32,79,158,316,632,1264,2528
Greatest Common Factor
We found the factors 9568,2528 . The biggest common factor number is the GCF number.
So the greatest common factor 9568,2528 is 32.
Lets's calculate LCM of 400,1513
Given numbers has no common factors except 1. So, there LCM is their product i.e 605200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/605200
Therefore, the GCF of Fractions 9568/400,2528/1513 is 32/605200
Least Common Multiple of 400,1513 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 400,1513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,1513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(400,1513) x common factors =1 x 1 = 1
LCM(400,1513) = ( 400 × 1513 ) / 1
LCM(400,1513) = 605200 / 1
LCM(400,1513) = 605200
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FAQs on GCF of Fractions of 9568/400, 2528/1513
1. What is the HCF of 9568,2528?
The HCF of 9568,2528 is 32
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 9568/400, 2528/1513?
Answer: GCF of Numerators as per given numbers 9568/400, 2528/1513 is
GCF of Numerators i.e. for 9568,2528 is 32
LCM of denominators i.e. for 400,1513 is 605200.
Thus, GCF of Fractions is 32/605200.Finally, GCF of Fractions for 9568/400, 2528/1513 is 32/605200.