GCF of 9044/967, 8449/8200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9044/967, 8449/8200 i.e 119/7929400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9044/967, 8449/8200.
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 9044/967,8449/8200?
Given fractions are 9044/967,8449/8200
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 9044/967,8449/8200, numerators are 9044,8449
Denominators are 967,8200
The GCF of 9044,8449 is 119 .
LCM of 967,8200 is 7929400.
The greatest common factor of 9044/967,8449/8200 = [GCF of 9044,8449]/[LCM of 967,8200]= 119/7929400
Therefore, the GCF of 9044/967,8449/8200 is 119/7929400.
To find the highest common factor of 9044,8449, we have to find the factors of both numbers and list the highest common factor.
The factors of 9044 are 1, 2, 4, 7, 14, 17, 19, 28, 34, 38, 68, 76, 119, 133, 238, 266, 323, 476, 532, 646, 1292, 2261, 4522, 9044
The factors of 8449 are 1, 7, 17, 71, 119, 497, 1207, 8449
The HCF of 9044,8449 is 119.
Lets's calculate GCF of 9044,8449
| 7 | 9044, 8449 |
| 17 | 1292, 1207 |
| 76, 71 |
∴ So the GCF of the given numbers is 7 x 17 = 119
Greatest Common Factor of 9044,8449 By Matching Biggest Common Factor Method
Now, list down the factors of 9044
:1,2,4,7,14,17,19,28,34,38,68,76,119,133,238,266,323,476,532,646,1292,2261,4522,9044
Now, list down the factors of 8449
:1,7,17,71,119,497,1207,8449
Greatest Common Factor
We found the factors 9044,8449 . The biggest common factor number is the GCF number.
So the greatest common factor 9044,8449 is 119.
Lets's calculate LCM of 967,8200
Given numbers has no common factors except 1. So, there LCM is their product i.e 7929400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 119/7929400
Therefore, the GCF of Fractions 9044/967,8449/8200 is 119/7929400
Least Common Multiple of 967,8200 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 967,8200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,8200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,8200) x common factors =1 x 1 = 1
LCM(967,8200) = ( 967 × 8200 ) / 1
LCM(967,8200) = 7929400 / 1
LCM(967,8200) = 7929400
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FAQs on GCF of Fractions of 9044/967, 8449/8200
1. What is the HCF of 9044,8449?
The HCF of 9044,8449 is 119
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 9044/967, 8449/8200?
Answer: GCF of Numerators as per given numbers 9044/967, 8449/8200 is
GCF of Numerators i.e. for 9044,8449 is 119
LCM of denominators i.e. for 967,8200 is 7929400.
Thus, GCF of Fractions is 119/7929400.Finally, GCF of Fractions for 9044/967, 8449/8200 is 119/7929400.