GCF of 8954/970, 7704/512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8954/970, 7704/512 i.e 2/248320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8954/970, 7704/512.
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 8954/970,7704/512?
Given fractions are 8954/970,7704/512
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 8954/970,7704/512, numerators are 8954,7704
Denominators are 970,512
The GCF of 8954,7704 is 2 .
LCM of 970,512 is 248320.
The greatest common factor of 8954/970,7704/512 = [GCF of 8954,7704]/[LCM of 970,512]= 2/248320
Therefore, the GCF of 8954/970,7704/512 is 2/248320.
To find the highest common factor of 8954,7704, we have to find the factors of both numbers and list the highest common factor.
The factors of 8954 are 1, 2, 11, 22, 37, 74, 121, 242, 407, 814, 4477, 8954
The factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704
The HCF of 8954,7704 is 2.
Lets's calculate GCF of 8954,7704
| 2 | 8954, 7704 |
| 4477, 3852 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8954,7704 By Matching Biggest Common Factor Method
Now, list down the factors of 8954
:1,2,11,22,37,74,121,242,407,814,4477,8954
Now, list down the factors of 7704
:1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704
Greatest Common Factor
We found the factors 8954,7704 . The biggest common factor number is the GCF number.
So the greatest common factor 8954,7704 is 2.
Lets's calculate LCM of 970,512
| 2 | 970, 512 |
| 485, 256 |
∴ So the LCM of the given numbers is 2 x 485 x 256 = 248320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/248320
Therefore, the GCF of Fractions 8954/970,7704/512 is 2/248320
Least Common Multiple of 970,512 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 970,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,512) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,512) x common factors =2 x 1 = 2
LCM(970,512) = ( 970 × 512 ) / 2
LCM(970,512) = 496640 / 2
LCM(970,512) = 248320
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FAQs on GCF of Fractions of 8954/970, 7704/512
1. What is the HCF of 8954,7704?
The HCF of 8954,7704 is 2
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 8954/970, 7704/512?
Answer: GCF of Numerators as per given numbers 8954/970, 7704/512 is
GCF of Numerators i.e. for 8954,7704 is 2
LCM of denominators i.e. for 970,512 is 248320.
Thus, GCF of Fractions is 2/248320.Finally, GCF of Fractions for 8954/970, 7704/512 is 2/248320.