GCF of 4518/786, 5458/6961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4518/786, 5458/6961 i.e 2/5471346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4518/786, 5458/6961.
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 4518/786,5458/6961?
Given fractions are 4518/786,5458/6961
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 4518/786,5458/6961, numerators are 4518,5458
Denominators are 786,6961
The GCF of 4518,5458 is 2 .
LCM of 786,6961 is 5471346.
The greatest common factor of 4518/786,5458/6961 = [GCF of 4518,5458]/[LCM of 786,6961]= 2/5471346
Therefore, the GCF of 4518/786,5458/6961 is 2/5471346.
To find the highest common factor of 4518,5458, we have to find the factors of both numbers and list the highest common factor.
The factors of 4518 are 1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518
The factors of 5458 are 1, 2, 2729, 5458
The HCF of 4518,5458 is 2.
Lets's calculate GCF of 4518,5458
| 2 | 4518, 5458 |
| 2259, 2729 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4518,5458 By Matching Biggest Common Factor Method
Now, list down the factors of 4518
:1,2,3,6,9,18,251,502,753,1506,2259,4518
Now, list down the factors of 5458
:1,2,2729,5458
Greatest Common Factor
We found the factors 4518,5458 . The biggest common factor number is the GCF number.
So the greatest common factor 4518,5458 is 2.
Lets's calculate LCM of 786,6961
Given numbers has no common factors except 1. So, there LCM is their product i.e 5471346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5471346
Therefore, the GCF of Fractions 4518/786,5458/6961 is 2/5471346
Least Common Multiple of 786,6961 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 786,6961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,6961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(786,6961) x common factors =1 x 1 = 1
LCM(786,6961) = ( 786 × 6961 ) / 1
LCM(786,6961) = 5471346 / 1
LCM(786,6961) = 5471346
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FAQs on GCF of Fractions of 4518/786, 5458/6961
1. What is the HCF of 4518,5458?
The HCF of 4518,5458 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 4518/786, 5458/6961?
Answer: GCF of Numerators as per given numbers 4518/786, 5458/6961 is
GCF of Numerators i.e. for 4518,5458 is 2
LCM of denominators i.e. for 786,6961 is 5471346.
Thus, GCF of Fractions is 2/5471346.Finally, GCF of Fractions for 4518/786, 5458/6961 is 2/5471346.