GCF of 8349/869, 5346/749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8349/869, 5346/749 i.e 33/650881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8349/869, 5346/749.
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 8349/869,5346/749?
Given fractions are 8349/869,5346/749
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 8349/869,5346/749, numerators are 8349,5346
Denominators are 869,749
The GCF of 8349,5346 is 33 .
LCM of 869,749 is 650881.
The greatest common factor of 8349/869,5346/749 = [GCF of 8349,5346]/[LCM of 869,749]= 33/650881
Therefore, the GCF of 8349/869,5346/749 is 33/650881.
To find the highest common factor of 8349,5346, we have to find the factors of both numbers and list the highest common factor.
The factors of 8349 are 1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349
The factors of 5346 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346
The HCF of 8349,5346 is 33.
Lets's calculate GCF of 8349,5346
| 3 | 8349, 5346 |
| 11 | 2783, 1782 |
| 253, 162 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 8349,5346 By Matching Biggest Common Factor Method
Now, list down the factors of 8349
:1,3,11,23,33,69,121,253,363,759,2783,8349
Now, list down the factors of 5346
:1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346
Greatest Common Factor
We found the factors 8349,5346 . The biggest common factor number is the GCF number.
So the greatest common factor 8349,5346 is 33.
Lets's calculate LCM of 869,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 650881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/650881
Therefore, the GCF of Fractions 8349/869,5346/749 is 33/650881
Least Common Multiple of 869,749 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 869,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,749) x common factors =1 x 1 = 1
LCM(869,749) = ( 869 × 749 ) / 1
LCM(869,749) = 650881 / 1
LCM(869,749) = 650881
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FAQs on GCF of Fractions of 8349/869, 5346/749
1. What is the HCF of 8349,5346?
The HCF of 8349,5346 is 33
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 8349/869, 5346/749?
Answer: GCF of Numerators as per given numbers 8349/869, 5346/749 is
GCF of Numerators i.e. for 8349,5346 is 33
LCM of denominators i.e. for 869,749 is 650881.
Thus, GCF of Fractions is 33/650881.Finally, GCF of Fractions for 8349/869, 5346/749 is 33/650881.