GCF of 6522/108, 8844/7829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6522/108, 8844/7829 i.e 6/845532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6522/108, 8844/7829.
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 6522/108,8844/7829?
Given fractions are 6522/108,8844/7829
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 6522/108,8844/7829, numerators are 6522,8844
Denominators are 108,7829
The GCF of 6522,8844 is 6 .
LCM of 108,7829 is 845532.
The greatest common factor of 6522/108,8844/7829 = [GCF of 6522,8844]/[LCM of 108,7829]= 6/845532
Therefore, the GCF of 6522/108,8844/7829 is 6/845532.
To find the highest common factor of 6522,8844, we have to find the factors of both numbers and list the highest common factor.
The factors of 6522 are 1, 2, 3, 6, 1087, 2174, 3261, 6522
The factors of 8844 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 67, 132, 134, 201, 268, 402, 737, 804, 1474, 2211, 2948, 4422, 8844
The HCF of 6522,8844 is 6.
Lets's calculate GCF of 6522,8844
| 2 | 6522, 8844 |
| 3 | 3261, 4422 |
| 1087, 1474 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6522,8844 By Matching Biggest Common Factor Method
Now, list down the factors of 6522
:1,2,3,6,1087,2174,3261,6522
Now, list down the factors of 8844
:1,2,3,4,6,11,12,22,33,44,66,67,132,134,201,268,402,737,804,1474,2211,2948,4422,8844
Greatest Common Factor
We found the factors 6522,8844 . The biggest common factor number is the GCF number.
So the greatest common factor 6522,8844 is 6.
Lets's calculate LCM of 108,7829
Given numbers has no common factors except 1. So, there LCM is their product i.e 845532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/845532
Therefore, the GCF of Fractions 6522/108,8844/7829 is 6/845532
Least Common Multiple of 108,7829 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 108,7829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,7829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,7829) x common factors =1 x 1 = 1
LCM(108,7829) = ( 108 × 7829 ) / 1
LCM(108,7829) = 845532 / 1
LCM(108,7829) = 845532
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FAQs on GCF of Fractions of 6522/108, 8844/7829
1. What is the HCF of 6522,8844?
The HCF of 6522,8844 is 6
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 6522/108, 8844/7829?
Answer: GCF of Numerators as per given numbers 6522/108, 8844/7829 is
GCF of Numerators i.e. for 6522,8844 is 6
LCM of denominators i.e. for 108,7829 is 845532.
Thus, GCF of Fractions is 6/845532.Finally, GCF of Fractions for 6522/108, 8844/7829 is 6/845532.