GCF of 8348/534, 5534/5178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8348/534, 5534/5178 i.e 2/460842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8348/534, 5534/5178.
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 8348/534,5534/5178?
Given fractions are 8348/534,5534/5178
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 8348/534,5534/5178, numerators are 8348,5534
Denominators are 534,5178
The GCF of 8348,5534 is 2 .
LCM of 534,5178 is 460842.
The greatest common factor of 8348/534,5534/5178 = [GCF of 8348,5534]/[LCM of 534,5178]= 2/460842
Therefore, the GCF of 8348/534,5534/5178 is 2/460842.
To find the highest common factor of 8348,5534, we have to find the factors of both numbers and list the highest common factor.
The factors of 8348 are 1, 2, 4, 2087, 4174, 8348
The factors of 5534 are 1, 2, 2767, 5534
The HCF of 8348,5534 is 2.
Lets's calculate GCF of 8348,5534
| 2 | 8348, 5534 |
| 4174, 2767 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8348,5534 By Matching Biggest Common Factor Method
Now, list down the factors of 8348
:1,2,4,2087,4174,8348
Now, list down the factors of 5534
:1,2,2767,5534
Greatest Common Factor
We found the factors 8348,5534 . The biggest common factor number is the GCF number.
So the greatest common factor 8348,5534 is 2.
Lets's calculate LCM of 534,5178
| 2 | 534, 5178 |
| 3 | 267, 2589 |
| 89, 863 |
∴ So the LCM of the given numbers is 2 x 3 x 89 x 863 = 460842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/460842
Therefore, the GCF of Fractions 8348/534,5534/5178 is 2/460842
Least Common Multiple of 534,5178 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 534,5178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,5178) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(534,5178) x common factors =6 x 1 = 6
LCM(534,5178) = ( 534 × 5178 ) / 6
LCM(534,5178) = 2765052 / 6
LCM(534,5178) = 460842
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FAQs on GCF of Fractions of 8348/534, 5534/5178
1. What is the HCF of 8348,5534?
The HCF of 8348,5534 is 2
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 8348/534, 5534/5178?
Answer: GCF of Numerators as per given numbers 8348/534, 5534/5178 is
GCF of Numerators i.e. for 8348,5534 is 2
LCM of denominators i.e. for 534,5178 is 460842.
Thus, GCF of Fractions is 2/460842.Finally, GCF of Fractions for 8348/534, 5534/5178 is 2/460842.