GCF of 210/938, 9504/671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 210/938, 9504/671 i.e 6/629398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 210/938, 9504/671.
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 210/938,9504/671?
Given fractions are 210/938,9504/671
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 210/938,9504/671, numerators are 210,9504
Denominators are 938,671
The GCF of 210,9504 is 6 .
LCM of 938,671 is 629398.
The greatest common factor of 210/938,9504/671 = [GCF of 210,9504]/[LCM of 938,671]= 6/629398
Therefore, the GCF of 210/938,9504/671 is 6/629398.
To find the highest common factor of 210,9504, we have to find the factors of both numbers and list the highest common factor.
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The factors of 9504 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504
The HCF of 210,9504 is 6.
Lets's calculate GCF of 210,9504
| 2 | 210, 9504 |
| 3 | 105, 4752 |
| 35, 1584 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 210,9504 By Matching Biggest Common Factor Method
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Now, list down the factors of 9504
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504
Greatest Common Factor
We found the factors 210,9504 . The biggest common factor number is the GCF number.
So the greatest common factor 210,9504 is 6.
Lets's calculate LCM of 938,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 629398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/629398
Therefore, the GCF of Fractions 210/938,9504/671 is 6/629398
Least Common Multiple of 938,671 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 938,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,671) x common factors =1 x 1 = 1
LCM(938,671) = ( 938 × 671 ) / 1
LCM(938,671) = 629398 / 1
LCM(938,671) = 629398
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FAQs on GCF of Fractions of 210/938, 9504/671
1. What is the HCF of 210,9504?
The HCF of 210,9504 is 6
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 210/938, 9504/671?
Answer: GCF of Numerators as per given numbers 210/938, 9504/671 is
GCF of Numerators i.e. for 210,9504 is 6
LCM of denominators i.e. for 938,671 is 629398.
Thus, GCF of Fractions is 6/629398.Finally, GCF of Fractions for 210/938, 9504/671 is 6/629398.