GCF of 8984/469, 9856/7154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8984/469, 9856/7154 i.e 8/479318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8984/469, 9856/7154.
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 8984/469,9856/7154?
Given fractions are 8984/469,9856/7154
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 8984/469,9856/7154, numerators are 8984,9856
Denominators are 469,7154
The GCF of 8984,9856 is 8 .
LCM of 469,7154 is 479318.
The greatest common factor of 8984/469,9856/7154 = [GCF of 8984,9856]/[LCM of 469,7154]= 8/479318
Therefore, the GCF of 8984/469,9856/7154 is 8/479318.
To find the highest common factor of 8984,9856, we have to find the factors of both numbers and list the highest common factor.
The factors of 8984 are 1, 2, 4, 8, 1123, 2246, 4492, 8984
The factors of 9856 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 308, 352, 448, 616, 704, 896, 1232, 1408, 2464, 4928, 9856
The HCF of 8984,9856 is 8.
Lets's calculate GCF of 8984,9856
| 2 | 8984, 9856 |
| 2 | 4492, 4928 |
| 2 | 2246, 2464 |
| 1123, 1232 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8984,9856 By Matching Biggest Common Factor Method
Now, list down the factors of 8984
:1,2,4,8,1123,2246,4492,8984
Now, list down the factors of 9856
:1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,128,154,176,224,308,352,448,616,704,896,1232,1408,2464,4928,9856
Greatest Common Factor
We found the factors 8984,9856 . The biggest common factor number is the GCF number.
So the greatest common factor 8984,9856 is 8.
Lets's calculate LCM of 469,7154
| 7 | 469, 7154 |
| 67, 1022 |
∴ So the LCM of the given numbers is 7 x 67 x 1022 = 479318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/479318
Therefore, the GCF of Fractions 8984/469,9856/7154 is 8/479318
Least Common Multiple of 469,7154 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 469,7154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,7154) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(469,7154) x common factors =7 x 1 = 7
LCM(469,7154) = ( 469 × 7154 ) / 7
LCM(469,7154) = 3355226 / 7
LCM(469,7154) = 479318
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FAQs on GCF of Fractions of 8984/469, 9856/7154
1. What is the HCF of 8984,9856?
The HCF of 8984,9856 is 8
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 8984/469, 9856/7154?
Answer: GCF of Numerators as per given numbers 8984/469, 9856/7154 is
GCF of Numerators i.e. for 8984,9856 is 8
LCM of denominators i.e. for 469,7154 is 479318.
Thus, GCF of Fractions is 8/479318.Finally, GCF of Fractions for 8984/469, 9856/7154 is 8/479318.