GCF of 8974/496, 5159/7236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8974/496, 5159/7236 i.e 7/897264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8974/496, 5159/7236.
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 8974/496,5159/7236?
Given fractions are 8974/496,5159/7236
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 8974/496,5159/7236, numerators are 8974,5159
Denominators are 496,7236
The GCF of 8974,5159 is 7 .
LCM of 496,7236 is 897264.
The greatest common factor of 8974/496,5159/7236 = [GCF of 8974,5159]/[LCM of 496,7236]= 7/897264
Therefore, the GCF of 8974/496,5159/7236 is 7/897264.
To find the highest common factor of 8974,5159, we have to find the factors of both numbers and list the highest common factor.
The factors of 8974 are 1, 2, 7, 14, 641, 1282, 4487, 8974
The factors of 5159 are 1, 7, 11, 67, 77, 469, 737, 5159
The HCF of 8974,5159 is 7.
Lets's calculate GCF of 8974,5159
| 7 | 8974, 5159 |
| 1282, 737 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8974,5159 By Matching Biggest Common Factor Method
Now, list down the factors of 8974
:1,2,7,14,641,1282,4487,8974
Now, list down the factors of 5159
:1,7,11,67,77,469,737,5159
Greatest Common Factor
We found the factors 8974,5159 . The biggest common factor number is the GCF number.
So the greatest common factor 8974,5159 is 7.
Lets's calculate LCM of 496,7236
| 2 | 496, 7236 |
| 2 | 248, 3618 |
| 124, 1809 |
∴ So the LCM of the given numbers is 2 x 2 x 124 x 1809 = 897264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/897264
Therefore, the GCF of Fractions 8974/496,5159/7236 is 7/897264
Least Common Multiple of 496,7236 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 496,7236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,7236) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(496,7236) x common factors =4 x 1 = 4
LCM(496,7236) = ( 496 × 7236 ) / 4
LCM(496,7236) = 3589056 / 4
LCM(496,7236) = 897264
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FAQs on GCF of Fractions of 8974/496, 5159/7236
1. What is the HCF of 8974,5159?
The HCF of 8974,5159 is 7
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 8974/496, 5159/7236?
Answer: GCF of Numerators as per given numbers 8974/496, 5159/7236 is
GCF of Numerators i.e. for 8974,5159 is 7
LCM of denominators i.e. for 496,7236 is 897264.
Thus, GCF of Fractions is 7/897264.Finally, GCF of Fractions for 8974/496, 5159/7236 is 7/897264.