GCF of 7622/878, 6848/4993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7622/878, 6848/4993 i.e 2/4383854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7622/878, 6848/4993.
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 7622/878,6848/4993?
Given fractions are 7622/878,6848/4993
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 7622/878,6848/4993, numerators are 7622,6848
Denominators are 878,4993
The GCF of 7622,6848 is 2 .
LCM of 878,4993 is 4383854.
The greatest common factor of 7622/878,6848/4993 = [GCF of 7622,6848]/[LCM of 878,4993]= 2/4383854
Therefore, the GCF of 7622/878,6848/4993 is 2/4383854.
To find the highest common factor of 7622,6848, we have to find the factors of both numbers and list the highest common factor.
The factors of 7622 are 1, 2, 37, 74, 103, 206, 3811, 7622
The factors of 6848 are 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848
The HCF of 7622,6848 is 2.
Lets's calculate GCF of 7622,6848
| 2 | 7622, 6848 |
| 3811, 3424 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7622,6848 By Matching Biggest Common Factor Method
Now, list down the factors of 7622
:1,2,37,74,103,206,3811,7622
Now, list down the factors of 6848
:1,2,4,8,16,32,64,107,214,428,856,1712,3424,6848
Greatest Common Factor
We found the factors 7622,6848 . The biggest common factor number is the GCF number.
So the greatest common factor 7622,6848 is 2.
Lets's calculate LCM of 878,4993
Given numbers has no common factors except 1. So, there LCM is their product i.e 4383854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4383854
Therefore, the GCF of Fractions 7622/878,6848/4993 is 2/4383854
Least Common Multiple of 878,4993 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 878,4993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,4993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(878,4993) x common factors =1 x 1 = 1
LCM(878,4993) = ( 878 × 4993 ) / 1
LCM(878,4993) = 4383854 / 1
LCM(878,4993) = 4383854
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FAQs on GCF of Fractions of 7622/878, 6848/4993
1. What is the HCF of 7622,6848?
The HCF of 7622,6848 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 7622/878, 6848/4993?
Answer: GCF of Numerators as per given numbers 7622/878, 6848/4993 is
GCF of Numerators i.e. for 7622,6848 is 2
LCM of denominators i.e. for 878,4993 is 4383854.
Thus, GCF of Fractions is 2/4383854.Finally, GCF of Fractions for 7622/878, 6848/4993 is 2/4383854.