GCF of 9856/516, 3870/7869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9856/516, 3870/7869 i.e 2/31476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9856/516, 3870/7869.
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 9856/516,3870/7869?
Given fractions are 9856/516,3870/7869
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 9856/516,3870/7869, numerators are 9856,3870
Denominators are 516,7869
The GCF of 9856,3870 is 2 .
LCM of 516,7869 is 31476.
The greatest common factor of 9856/516,3870/7869 = [GCF of 9856,3870]/[LCM of 516,7869]= 2/31476
Therefore, the GCF of 9856/516,3870/7869 is 2/31476.
To find the highest common factor of 9856,3870, we have to find the factors of both numbers and list the highest common factor.
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 factors of 3870 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870
The HCF of 9856,3870 is 2.
Lets's calculate GCF of 9856,3870
| 2 | 9856, 3870 |
| 4928, 1935 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9856,3870 By Matching Biggest Common Factor Method
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
Now, list down the factors of 3870
:1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870
Greatest Common Factor
We found the factors 9856,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 9856,3870 is 2.
Lets's calculate LCM of 516,7869
| 3 | 516, 7869 |
| 43 | 172, 2623 |
| 4, 61 |
∴ So the LCM of the given numbers is 3 x 43 x 4 x 61 = 31476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31476
Therefore, the GCF of Fractions 9856/516,3870/7869 is 2/31476
Least Common Multiple of 516,7869 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 516,7869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,7869) = 129
common factors(in case of two or more numbers have common factors) = 1
GCF(516,7869) x common factors =129 x 1 = 129
LCM(516,7869) = ( 516 × 7869 ) / 129
LCM(516,7869) = 4060404 / 129
LCM(516,7869) = 31476
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FAQs on GCF of Fractions of 9856/516, 3870/7869
1. What is the HCF of 9856,3870?
The HCF of 9856,3870 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 9856/516, 3870/7869?
Answer: GCF of Numerators as per given numbers 9856/516, 3870/7869 is
GCF of Numerators i.e. for 9856,3870 is 2
LCM of denominators i.e. for 516,7869 is 31476.
Thus, GCF of Fractions is 2/31476.Finally, GCF of Fractions for 9856/516, 3870/7869 is 2/31476.