GCF of 6122/526, 7943/5153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6122/526, 7943/5153 i.e 1/2710478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6122/526, 7943/5153.
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 6122/526,7943/5153?
Given fractions are 6122/526,7943/5153
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 6122/526,7943/5153, numerators are 6122,7943
Denominators are 526,5153
The GCF of 6122,7943 is 1 .
LCM of 526,5153 is 2710478.
The greatest common factor of 6122/526,7943/5153 = [GCF of 6122,7943]/[LCM of 526,5153]= 1/2710478
Therefore, the GCF of 6122/526,7943/5153 is 1/2710478.
To find the highest common factor of 6122,7943, we have to find the factors of both numbers and list the highest common factor.
The factors of 6122 are 1, 2, 3061, 6122
The factors of 7943 are 1, 13, 47, 169, 611, 7943
The HCF of 6122,7943 is 1.
Lets's calculate GCF of 6122,7943
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6122,7943 By Matching Biggest Common Factor Method
Now, list down the factors of 6122
:1,2,3061,6122
Now, list down the factors of 7943
:1,13,47,169,611,7943
Greatest Common Factor
We found the factors 6122,7943 . The biggest common factor number is the GCF number.
So the greatest common factor 6122,7943 is 1.
Lets's calculate LCM of 526,5153
Given numbers has no common factors except 1. So, there LCM is their product i.e 2710478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2710478
Therefore, the GCF of Fractions 6122/526,7943/5153 is 1/2710478
Least Common Multiple of 526,5153 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 526,5153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,5153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(526,5153) x common factors =1 x 1 = 1
LCM(526,5153) = ( 526 × 5153 ) / 1
LCM(526,5153) = 2710478 / 1
LCM(526,5153) = 2710478
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FAQs on GCF of Fractions of 6122/526, 7943/5153
1. What is the HCF of 6122,7943?
The HCF of 6122,7943 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 6122/526, 7943/5153?
Answer: GCF of Numerators as per given numbers 6122/526, 7943/5153 is
GCF of Numerators i.e. for 6122,7943 is 1
LCM of denominators i.e. for 526,5153 is 2710478.
Thus, GCF of Fractions is 1/2710478.Finally, GCF of Fractions for 6122/526, 7943/5153 is 1/2710478.