GCF of 8338/889, 7392/9154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8338/889, 7392/9154 i.e 22/8137906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8338/889, 7392/9154.
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 8338/889,7392/9154?
Given fractions are 8338/889,7392/9154
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 8338/889,7392/9154, numerators are 8338,7392
Denominators are 889,9154
The GCF of 8338,7392 is 22 .
LCM of 889,9154 is 8137906.
The greatest common factor of 8338/889,7392/9154 = [GCF of 8338,7392]/[LCM of 889,9154]= 22/8137906
Therefore, the GCF of 8338/889,7392/9154 is 22/8137906.
To find the highest common factor of 8338,7392, we have to find the factors of both numbers and list the highest common factor.
The factors of 8338 are 1, 2, 11, 22, 379, 758, 4169, 8338
The factors of 7392 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 66, 77, 84, 88, 96, 112, 132, 154, 168, 176, 224, 231, 264, 308, 336, 352, 462, 528, 616, 672, 924, 1056, 1232, 1848, 2464, 3696, 7392
The HCF of 8338,7392 is 22.
Lets's calculate GCF of 8338,7392
| 2 | 8338, 7392 |
| 11 | 4169, 3696 |
| 379, 336 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 8338,7392 By Matching Biggest Common Factor Method
Now, list down the factors of 8338
:1,2,11,22,379,758,4169,8338
Now, list down the factors of 7392
:1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,32,33,42,44,48,56,66,77,84,88,96,112,132,154,168,176,224,231,264,308,336,352,462,528,616,672,924,1056,1232,1848,2464,3696,7392
Greatest Common Factor
We found the factors 8338,7392 . The biggest common factor number is the GCF number.
So the greatest common factor 8338,7392 is 22.
Lets's calculate LCM of 889,9154
Given numbers has no common factors except 1. So, there LCM is their product i.e 8137906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/8137906
Therefore, the GCF of Fractions 8338/889,7392/9154 is 22/8137906
Least Common Multiple of 889,9154 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 889,9154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,9154) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,9154) x common factors =1 x 1 = 1
LCM(889,9154) = ( 889 × 9154 ) / 1
LCM(889,9154) = 8137906 / 1
LCM(889,9154) = 8137906
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FAQs on GCF of Fractions of 8338/889, 7392/9154
1. What is the HCF of 8338,7392?
The HCF of 8338,7392 is 22
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 8338/889, 7392/9154?
Answer: GCF of Numerators as per given numbers 8338/889, 7392/9154 is
GCF of Numerators i.e. for 8338,7392 is 22
LCM of denominators i.e. for 889,9154 is 8137906.
Thus, GCF of Fractions is 22/8137906.Finally, GCF of Fractions for 8338/889, 7392/9154 is 22/8137906.