GCF of 5410/831, 6938/7949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5410/831, 6938/7949 i.e 2/6605619 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5410/831, 6938/7949.
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 5410/831,6938/7949?
Given fractions are 5410/831,6938/7949
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 5410/831,6938/7949, numerators are 5410,6938
Denominators are 831,7949
The GCF of 5410,6938 is 2 .
LCM of 831,7949 is 6605619.
The greatest common factor of 5410/831,6938/7949 = [GCF of 5410,6938]/[LCM of 831,7949]= 2/6605619
Therefore, the GCF of 5410/831,6938/7949 is 2/6605619.
To find the highest common factor of 5410,6938, we have to find the factors of both numbers and list the highest common factor.
The factors of 5410 are 1, 2, 5, 10, 541, 1082, 2705, 5410
The factors of 6938 are 1, 2, 3469, 6938
The HCF of 5410,6938 is 2.
Lets's calculate GCF of 5410,6938
| 2 | 5410, 6938 |
| 2705, 3469 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5410,6938 By Matching Biggest Common Factor Method
Now, list down the factors of 5410
:1,2,5,10,541,1082,2705,5410
Now, list down the factors of 6938
:1,2,3469,6938
Greatest Common Factor
We found the factors 5410,6938 . The biggest common factor number is the GCF number.
So the greatest common factor 5410,6938 is 2.
Lets's calculate LCM of 831,7949
Given numbers has no common factors except 1. So, there LCM is their product i.e 6605619
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6605619
Therefore, the GCF of Fractions 5410/831,6938/7949 is 2/6605619
Least Common Multiple of 831,7949 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 831,7949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,7949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,7949) x common factors =1 x 1 = 1
LCM(831,7949) = ( 831 × 7949 ) / 1
LCM(831,7949) = 6605619 / 1
LCM(831,7949) = 6605619
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FAQs on GCF of Fractions of 5410/831, 6938/7949
1. What is the HCF of 5410,6938?
The HCF of 5410,6938 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 5410/831, 6938/7949?
Answer: GCF of Numerators as per given numbers 5410/831, 6938/7949 is
GCF of Numerators i.e. for 5410,6938 is 2
LCM of denominators i.e. for 831,7949 is 6605619.
Thus, GCF of Fractions is 2/6605619.Finally, GCF of Fractions for 5410/831, 6938/7949 is 2/6605619.