GCF of 4149/699, 8208/8989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4149/699, 8208/8989 i.e 9/6283311 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4149/699, 8208/8989.
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 4149/699,8208/8989?
Given fractions are 4149/699,8208/8989
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 4149/699,8208/8989, numerators are 4149,8208
Denominators are 699,8989
The GCF of 4149,8208 is 9 .
LCM of 699,8989 is 6283311.
The greatest common factor of 4149/699,8208/8989 = [GCF of 4149,8208]/[LCM of 699,8989]= 9/6283311
Therefore, the GCF of 4149/699,8208/8989 is 9/6283311.
To find the highest common factor of 4149,8208, we have to find the factors of both numbers and list the highest common factor.
The factors of 4149 are 1, 3, 9, 461, 1383, 4149
The factors of 8208 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208
The HCF of 4149,8208 is 9.
Lets's calculate GCF of 4149,8208
| 3 | 4149, 8208 |
| 3 | 1383, 2736 |
| 461, 912 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4149,8208 By Matching Biggest Common Factor Method
Now, list down the factors of 4149
:1,3,9,461,1383,4149
Now, list down the factors of 8208
:1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208
Greatest Common Factor
We found the factors 4149,8208 . The biggest common factor number is the GCF number.
So the greatest common factor 4149,8208 is 9.
Lets's calculate LCM of 699,8989
Given numbers has no common factors except 1. So, there LCM is their product i.e 6283311
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/6283311
Therefore, the GCF of Fractions 4149/699,8208/8989 is 9/6283311
Least Common Multiple of 699,8989 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 699,8989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,8989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(699,8989) x common factors =1 x 1 = 1
LCM(699,8989) = ( 699 × 8989 ) / 1
LCM(699,8989) = 6283311 / 1
LCM(699,8989) = 6283311
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FAQs on GCF of Fractions of 4149/699, 8208/8989
1. What is the HCF of 4149,8208?
The HCF of 4149,8208 is 9
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 4149/699, 8208/8989?
Answer: GCF of Numerators as per given numbers 4149/699, 8208/8989 is
GCF of Numerators i.e. for 4149,8208 is 9
LCM of denominators i.e. for 699,8989 is 6283311.
Thus, GCF of Fractions is 9/6283311.Finally, GCF of Fractions for 4149/699, 8208/8989 is 9/6283311.