GCF of 8564/940, 9524/1216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8564/940, 9524/1216 i.e 4/285760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8564/940, 9524/1216.
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 8564/940,9524/1216?
Given fractions are 8564/940,9524/1216
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 8564/940,9524/1216, numerators are 8564,9524
Denominators are 940,1216
The GCF of 8564,9524 is 4 .
LCM of 940,1216 is 285760.
The greatest common factor of 8564/940,9524/1216 = [GCF of 8564,9524]/[LCM of 940,1216]= 4/285760
Therefore, the GCF of 8564/940,9524/1216 is 4/285760.
To find the highest common factor of 8564,9524, we have to find the factors of both numbers and list the highest common factor.
The factors of 8564 are 1, 2, 4, 2141, 4282, 8564
The factors of 9524 are 1, 2, 4, 2381, 4762, 9524
The HCF of 8564,9524 is 4.
Lets's calculate GCF of 8564,9524
| 2 | 8564, 9524 |
| 2 | 4282, 4762 |
| 2141, 2381 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8564,9524 By Matching Biggest Common Factor Method
Now, list down the factors of 8564
:1,2,4,2141,4282,8564
Now, list down the factors of 9524
:1,2,4,2381,4762,9524
Greatest Common Factor
We found the factors 8564,9524 . The biggest common factor number is the GCF number.
So the greatest common factor 8564,9524 is 4.
Lets's calculate LCM of 940,1216
| 2 | 940, 1216 |
| 2 | 470, 608 |
| 235, 304 |
∴ So the LCM of the given numbers is 2 x 2 x 235 x 304 = 285760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/285760
Therefore, the GCF of Fractions 8564/940,9524/1216 is 4/285760
Least Common Multiple of 940,1216 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 940,1216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,1216) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(940,1216) x common factors =4 x 1 = 4
LCM(940,1216) = ( 940 × 1216 ) / 4
LCM(940,1216) = 1143040 / 4
LCM(940,1216) = 285760
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FAQs on GCF of Fractions of 8564/940, 9524/1216
1. What is the HCF of 8564,9524?
The HCF of 8564,9524 is 4
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 8564/940, 9524/1216?
Answer: GCF of Numerators as per given numbers 8564/940, 9524/1216 is
GCF of Numerators i.e. for 8564,9524 is 4
LCM of denominators i.e. for 940,1216 is 285760.
Thus, GCF of Fractions is 4/285760.Finally, GCF of Fractions for 8564/940, 9524/1216 is 4/285760.