GCF of 8362/921, 5104/426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8362/921, 5104/426 i.e 2/130782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8362/921, 5104/426.
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 8362/921,5104/426?
Given fractions are 8362/921,5104/426
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 8362/921,5104/426, numerators are 8362,5104
Denominators are 921,426
The GCF of 8362,5104 is 2 .
LCM of 921,426 is 130782.
The greatest common factor of 8362/921,5104/426 = [GCF of 8362,5104]/[LCM of 921,426]= 2/130782
Therefore, the GCF of 8362/921,5104/426 is 2/130782.
To find the highest common factor of 8362,5104, we have to find the factors of both numbers and list the highest common factor.
The factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362
The factors of 5104 are 1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464, 638, 1276, 2552, 5104
The HCF of 8362,5104 is 2.
Lets's calculate GCF of 8362,5104
| 2 | 8362, 5104 |
| 4181, 2552 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8362,5104 By Matching Biggest Common Factor Method
Now, list down the factors of 8362
:1,2,37,74,113,226,4181,8362
Now, list down the factors of 5104
:1,2,4,8,11,16,22,29,44,58,88,116,176,232,319,464,638,1276,2552,5104
Greatest Common Factor
We found the factors 8362,5104 . The biggest common factor number is the GCF number.
So the greatest common factor 8362,5104 is 2.
Lets's calculate LCM of 921,426
| 3 | 921, 426 |
| 307, 142 |
∴ So the LCM of the given numbers is 3 x 307 x 142 = 130782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130782
Therefore, the GCF of Fractions 8362/921,5104/426 is 2/130782
Least Common Multiple of 921,426 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 921,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,426) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,426) x common factors =3 x 1 = 3
LCM(921,426) = ( 921 × 426 ) / 3
LCM(921,426) = 392346 / 3
LCM(921,426) = 130782
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FAQs on GCF of Fractions of 8362/921, 5104/426
1. What is the HCF of 8362,5104?
The HCF of 8362,5104 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 8362/921, 5104/426?
Answer: GCF of Numerators as per given numbers 8362/921, 5104/426 is
GCF of Numerators i.e. for 8362,5104 is 2
LCM of denominators i.e. for 921,426 is 130782.
Thus, GCF of Fractions is 2/130782.Finally, GCF of Fractions for 8362/921, 5104/426 is 2/130782.