GCF of 8838/682, 5362/7112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8838/682, 5362/7112 i.e 2/2425192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8838/682, 5362/7112.
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 8838/682,5362/7112?
Given fractions are 8838/682,5362/7112
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 8838/682,5362/7112, numerators are 8838,5362
Denominators are 682,7112
The GCF of 8838,5362 is 2 .
LCM of 682,7112 is 2425192.
The greatest common factor of 8838/682,5362/7112 = [GCF of 8838,5362]/[LCM of 682,7112]= 2/2425192
Therefore, the GCF of 8838/682,5362/7112 is 2/2425192.
To find the highest common factor of 8838,5362, we have to find the factors of both numbers and list the highest common factor.
The factors of 8838 are 1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419, 8838
The factors of 5362 are 1, 2, 7, 14, 383, 766, 2681, 5362
The HCF of 8838,5362 is 2.
Lets's calculate GCF of 8838,5362
| 2 | 8838, 5362 |
| 4419, 2681 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8838,5362 By Matching Biggest Common Factor Method
Now, list down the factors of 8838
:1,2,3,6,9,18,491,982,1473,2946,4419,8838
Now, list down the factors of 5362
:1,2,7,14,383,766,2681,5362
Greatest Common Factor
We found the factors 8838,5362 . The biggest common factor number is the GCF number.
So the greatest common factor 8838,5362 is 2.
Lets's calculate LCM of 682,7112
| 2 | 682, 7112 |
| 341, 3556 |
∴ So the LCM of the given numbers is 2 x 341 x 3556 = 2425192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2425192
Therefore, the GCF of Fractions 8838/682,5362/7112 is 2/2425192
Least Common Multiple of 682,7112 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 682,7112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,7112) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,7112) x common factors =2 x 1 = 2
LCM(682,7112) = ( 682 × 7112 ) / 2
LCM(682,7112) = 4850384 / 2
LCM(682,7112) = 2425192
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FAQs on GCF of Fractions of 8838/682, 5362/7112
1. What is the HCF of 8838,5362?
The HCF of 8838,5362 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 8838/682, 5362/7112?
Answer: GCF of Numerators as per given numbers 8838/682, 5362/7112 is
GCF of Numerators i.e. for 8838,5362 is 2
LCM of denominators i.e. for 682,7112 is 2425192.
Thus, GCF of Fractions is 2/2425192.Finally, GCF of Fractions for 8838/682, 5362/7112 is 2/2425192.