GCF of 6136/828, 9941/6528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6136/828, 9941/6528 i.e 1/450432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6136/828, 9941/6528.
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 6136/828,9941/6528?
Given fractions are 6136/828,9941/6528
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 6136/828,9941/6528, numerators are 6136,9941
Denominators are 828,6528
The GCF of 6136,9941 is 1 .
LCM of 828,6528 is 450432.
The greatest common factor of 6136/828,9941/6528 = [GCF of 6136,9941]/[LCM of 828,6528]= 1/450432
Therefore, the GCF of 6136/828,9941/6528 is 1/450432.
To find the highest common factor of 6136,9941, we have to find the factors of both numbers and list the highest common factor.
The factors of 6136 are 1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136
The factors of 9941 are 1, 9941
The HCF of 6136,9941 is 1.
Lets's calculate GCF of 6136,9941
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6136,9941 By Matching Biggest Common Factor Method
Now, list down the factors of 6136
:1,2,4,8,13,26,52,59,104,118,236,472,767,1534,3068,6136
Now, list down the factors of 9941
:1,9941
Greatest Common Factor
We found the factors 6136,9941 . The biggest common factor number is the GCF number.
So the greatest common factor 6136,9941 is 1.
Lets's calculate LCM of 828,6528
| 2 | 828, 6528 |
| 2 | 414, 3264 |
| 3 | 207, 1632 |
| 69, 544 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 69 x 544 = 450432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/450432
Therefore, the GCF of Fractions 6136/828,9941/6528 is 1/450432
Least Common Multiple of 828,6528 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 828,6528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,6528) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(828,6528) x common factors =12 x 1 = 12
LCM(828,6528) = ( 828 × 6528 ) / 12
LCM(828,6528) = 5405184 / 12
LCM(828,6528) = 450432
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FAQs on GCF of Fractions of 6136/828, 9941/6528
1. What is the HCF of 6136,9941?
The HCF of 6136,9941 is 1
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 6136/828, 9941/6528?
Answer: GCF of Numerators as per given numbers 6136/828, 9941/6528 is
GCF of Numerators i.e. for 6136,9941 is 1
LCM of denominators i.e. for 828,6528 is 450432.
Thus, GCF of Fractions is 1/450432.Finally, GCF of Fractions for 6136/828, 9941/6528 is 1/450432.