GCF of 8974/472, 8708/7987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8974/472, 8708/7987 i.e 14/3769864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8974/472, 8708/7987.
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 8974/472,8708/7987?
Given fractions are 8974/472,8708/7987
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 8974/472,8708/7987, numerators are 8974,8708
Denominators are 472,7987
The GCF of 8974,8708 is 14 .
LCM of 472,7987 is 3769864.
The greatest common factor of 8974/472,8708/7987 = [GCF of 8974,8708]/[LCM of 472,7987]= 14/3769864
Therefore, the GCF of 8974/472,8708/7987 is 14/3769864.
To find the highest common factor of 8974,8708, 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 8708 are 1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708
The HCF of 8974,8708 is 14.
Lets's calculate GCF of 8974,8708
| 2 | 8974, 8708 |
| 7 | 4487, 4354 |
| 641, 622 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 8974,8708 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 8708
:1,2,4,7,14,28,311,622,1244,2177,4354,8708
Greatest Common Factor
We found the factors 8974,8708 . The biggest common factor number is the GCF number.
So the greatest common factor 8974,8708 is 14.
Lets's calculate LCM of 472,7987
Given numbers has no common factors except 1. So, there LCM is their product i.e 3769864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3769864
Therefore, the GCF of Fractions 8974/472,8708/7987 is 14/3769864
Least Common Multiple of 472,7987 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 472,7987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,7987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,7987) x common factors =1 x 1 = 1
LCM(472,7987) = ( 472 × 7987 ) / 1
LCM(472,7987) = 3769864 / 1
LCM(472,7987) = 3769864
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FAQs on GCF of Fractions of 8974/472, 8708/7987
1. What is the HCF of 8974,8708?
The HCF of 8974,8708 is 14
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 8974/472, 8708/7987?
Answer: GCF of Numerators as per given numbers 8974/472, 8708/7987 is
GCF of Numerators i.e. for 8974,8708 is 14
LCM of denominators i.e. for 472,7987 is 3769864.
Thus, GCF of Fractions is 14/3769864.Finally, GCF of Fractions for 8974/472, 8708/7987 is 14/3769864.