GCF of 1216/698, 9006/5504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1216/698, 9006/5504 i.e 38/1920896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1216/698, 9006/5504.
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 1216/698,9006/5504?
Given fractions are 1216/698,9006/5504
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 1216/698,9006/5504, numerators are 1216,9006
Denominators are 698,5504
The GCF of 1216,9006 is 38 .
LCM of 698,5504 is 1920896.
The greatest common factor of 1216/698,9006/5504 = [GCF of 1216,9006]/[LCM of 698,5504]= 38/1920896
Therefore, the GCF of 1216/698,9006/5504 is 38/1920896.
To find the highest common factor of 1216,9006, we have to find the factors of both numbers and list the highest common factor.
The factors of 1216 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216
The factors of 9006 are 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006
The HCF of 1216,9006 is 38.
Lets's calculate GCF of 1216,9006
| 2 | 1216, 9006 |
| 19 | 608, 4503 |
| 32, 237 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 1216,9006 By Matching Biggest Common Factor Method
Now, list down the factors of 1216
:1,2,4,8,16,19,32,38,64,76,152,304,608,1216
Now, list down the factors of 9006
:1,2,3,6,19,38,57,79,114,158,237,474,1501,3002,4503,9006
Greatest Common Factor
We found the factors 1216,9006 . The biggest common factor number is the GCF number.
So the greatest common factor 1216,9006 is 38.
Lets's calculate LCM of 698,5504
| 2 | 698, 5504 |
| 349, 2752 |
∴ So the LCM of the given numbers is 2 x 349 x 2752 = 1920896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/1920896
Therefore, the GCF of Fractions 1216/698,9006/5504 is 38/1920896
Least Common Multiple of 698,5504 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 698,5504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,5504) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,5504) x common factors =2 x 1 = 2
LCM(698,5504) = ( 698 × 5504 ) / 2
LCM(698,5504) = 3841792 / 2
LCM(698,5504) = 1920896
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FAQs on GCF of Fractions of 1216/698, 9006/5504
1. What is the HCF of 1216,9006?
The HCF of 1216,9006 is 38
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 1216/698, 9006/5504?
Answer: GCF of Numerators as per given numbers 1216/698, 9006/5504 is
GCF of Numerators i.e. for 1216,9006 is 38
LCM of denominators i.e. for 698,5504 is 1920896.
Thus, GCF of Fractions is 38/1920896.Finally, GCF of Fractions for 1216/698, 9006/5504 is 38/1920896.