GCF of 5357/803, 4796/2122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5357/803, 4796/2122 i.e 11/1703966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5357/803, 4796/2122.
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 5357/803,4796/2122?
Given fractions are 5357/803,4796/2122
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 5357/803,4796/2122, numerators are 5357,4796
Denominators are 803,2122
The GCF of 5357,4796 is 11 .
LCM of 803,2122 is 1703966.
The greatest common factor of 5357/803,4796/2122 = [GCF of 5357,4796]/[LCM of 803,2122]= 11/1703966
Therefore, the GCF of 5357/803,4796/2122 is 11/1703966.
To find the highest common factor of 5357,4796, we have to find the factors of both numbers and list the highest common factor.
The factors of 5357 are 1, 11, 487, 5357
The factors of 4796 are 1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796
The HCF of 5357,4796 is 11.
Lets's calculate GCF of 5357,4796
| 11 | 5357, 4796 |
| 487, 436 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5357,4796 By Matching Biggest Common Factor Method
Now, list down the factors of 5357
:1,11,487,5357
Now, list down the factors of 4796
:1,2,4,11,22,44,109,218,436,1199,2398,4796
Greatest Common Factor
We found the factors 5357,4796 . The biggest common factor number is the GCF number.
So the greatest common factor 5357,4796 is 11.
Lets's calculate LCM of 803,2122
Given numbers has no common factors except 1. So, there LCM is their product i.e 1703966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1703966
Therefore, the GCF of Fractions 5357/803,4796/2122 is 11/1703966
Least Common Multiple of 803,2122 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 803,2122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,2122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,2122) x common factors =1 x 1 = 1
LCM(803,2122) = ( 803 × 2122 ) / 1
LCM(803,2122) = 1703966 / 1
LCM(803,2122) = 1703966
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FAQs on GCF of Fractions of 5357/803, 4796/2122
1. What is the HCF of 5357,4796?
The HCF of 5357,4796 is 11
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 5357/803, 4796/2122?
Answer: GCF of Numerators as per given numbers 5357/803, 4796/2122 is
GCF of Numerators i.e. for 5357,4796 is 11
LCM of denominators i.e. for 803,2122 is 1703966.
Thus, GCF of Fractions is 11/1703966.Finally, GCF of Fractions for 5357/803, 4796/2122 is 11/1703966.