GCF of 8569/297, 7524/850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8569/297, 7524/850 i.e 209/252450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8569/297, 7524/850.
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 8569/297,7524/850?
Given fractions are 8569/297,7524/850
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 8569/297,7524/850, numerators are 8569,7524
Denominators are 297,850
The GCF of 8569,7524 is 209 .
LCM of 297,850 is 252450.
The greatest common factor of 8569/297,7524/850 = [GCF of 8569,7524]/[LCM of 297,850]= 209/252450
Therefore, the GCF of 8569/297,7524/850 is 209/252450.
To find the highest common factor of 8569,7524, we have to find the factors of both numbers and list the highest common factor.
The factors of 8569 are 1, 11, 19, 41, 209, 451, 779, 8569
The factors of 7524 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524
The HCF of 8569,7524 is 209.
Lets's calculate GCF of 8569,7524
| 11 | 8569, 7524 |
| 19 | 779, 684 |
| 41, 36 |
∴ So the GCF of the given numbers is 11 x 19 = 209
Greatest Common Factor of 8569,7524 By Matching Biggest Common Factor Method
Now, list down the factors of 8569
:1,11,19,41,209,451,779,8569
Now, list down the factors of 7524
:1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524
Greatest Common Factor
We found the factors 8569,7524 . The biggest common factor number is the GCF number.
So the greatest common factor 8569,7524 is 209.
Lets's calculate LCM of 297,850
Given numbers has no common factors except 1. So, there LCM is their product i.e 252450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 209/252450
Therefore, the GCF of Fractions 8569/297,7524/850 is 209/252450
Least Common Multiple of 297,850 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 297,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,850) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(297,850) x common factors =1 x 1 = 1
LCM(297,850) = ( 297 × 850 ) / 1
LCM(297,850) = 252450 / 1
LCM(297,850) = 252450
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FAQs on GCF of Fractions of 8569/297, 7524/850
1. What is the HCF of 8569,7524?
The HCF of 8569,7524 is 209
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 8569/297, 7524/850?
Answer: GCF of Numerators as per given numbers 8569/297, 7524/850 is
GCF of Numerators i.e. for 8569,7524 is 209
LCM of denominators i.e. for 297,850 is 252450.
Thus, GCF of Fractions is 209/252450.Finally, GCF of Fractions for 8569/297, 7524/850 is 209/252450.