GCF of 9387/641, 1008/877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9387/641, 1008/877 i.e 63/562157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9387/641, 1008/877.
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 9387/641,1008/877?
Given fractions are 9387/641,1008/877
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 9387/641,1008/877, numerators are 9387,1008
Denominators are 641,877
The GCF of 9387,1008 is 63 .
LCM of 641,877 is 562157.
The greatest common factor of 9387/641,1008/877 = [GCF of 9387,1008]/[LCM of 641,877]= 63/562157
Therefore, the GCF of 9387/641,1008/877 is 63/562157.
To find the highest common factor of 9387,1008, we have to find the factors of both numbers and list the highest common factor.
The factors of 9387 are 1, 3, 7, 9, 21, 63, 149, 447, 1043, 1341, 3129, 9387
The factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
The HCF of 9387,1008 is 63.
Lets's calculate GCF of 9387,1008
| 3 | 9387, 1008 |
| 3 | 3129, 336 |
| 7 | 1043, 112 |
| 149, 16 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Greatest Common Factor of 9387,1008 By Matching Biggest Common Factor Method
Now, list down the factors of 9387
:1,3,7,9,21,63,149,447,1043,1341,3129,9387
Now, list down the factors of 1008
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008
Greatest Common Factor
We found the factors 9387,1008 . The biggest common factor number is the GCF number.
So the greatest common factor 9387,1008 is 63.
Lets's calculate LCM of 641,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 562157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/562157
Therefore, the GCF of Fractions 9387/641,1008/877 is 63/562157
Least Common Multiple of 641,877 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 641,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,877) x common factors =1 x 1 = 1
LCM(641,877) = ( 641 × 877 ) / 1
LCM(641,877) = 562157 / 1
LCM(641,877) = 562157
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FAQs on GCF of Fractions of 9387/641, 1008/877
1. What is the HCF of 9387,1008?
The HCF of 9387,1008 is 63
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 9387/641, 1008/877?
Answer: GCF of Numerators as per given numbers 9387/641, 1008/877 is
GCF of Numerators i.e. for 9387,1008 is 63
LCM of denominators i.e. for 641,877 is 562157.
Thus, GCF of Fractions is 63/562157.Finally, GCF of Fractions for 9387/641, 1008/877 is 63/562157.