GCF of 7622/199, 5416/1930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7622/199, 5416/1930 i.e 2/384070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7622/199, 5416/1930.
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 7622/199,5416/1930?
Given fractions are 7622/199,5416/1930
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 7622/199,5416/1930, numerators are 7622,5416
Denominators are 199,1930
The GCF of 7622,5416 is 2 .
LCM of 199,1930 is 384070.
The greatest common factor of 7622/199,5416/1930 = [GCF of 7622,5416]/[LCM of 199,1930]= 2/384070
Therefore, the GCF of 7622/199,5416/1930 is 2/384070.
To find the highest common factor of 7622,5416, 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 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416
The HCF of 7622,5416 is 2.
Lets's calculate GCF of 7622,5416
| 2 | 7622, 5416 |
| 3811, 2708 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7622,5416 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 5416
:1,2,4,8,677,1354,2708,5416
Greatest Common Factor
We found the factors 7622,5416 . The biggest common factor number is the GCF number.
So the greatest common factor 7622,5416 is 2.
Lets's calculate LCM of 199,1930
Given numbers has no common factors except 1. So, there LCM is their product i.e 384070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/384070
Therefore, the GCF of Fractions 7622/199,5416/1930 is 2/384070
Least Common Multiple of 199,1930 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 199,1930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,1930) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,1930) x common factors =1 x 1 = 1
LCM(199,1930) = ( 199 × 1930 ) / 1
LCM(199,1930) = 384070 / 1
LCM(199,1930) = 384070
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FAQs on GCF of Fractions of 7622/199, 5416/1930
1. What is the HCF of 7622,5416?
The HCF of 7622,5416 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 7622/199, 5416/1930?
Answer: GCF of Numerators as per given numbers 7622/199, 5416/1930 is
GCF of Numerators i.e. for 7622,5416 is 2
LCM of denominators i.e. for 199,1930 is 384070.
Thus, GCF of Fractions is 2/384070.Finally, GCF of Fractions for 7622/199, 5416/1930 is 2/384070.