GCF of 1622/536, 1945/1916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1622/536, 1945/1916 i.e 1/256744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1622/536, 1945/1916.
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 1622/536,1945/1916?
Given fractions are 1622/536,1945/1916
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 1622/536,1945/1916, numerators are 1622,1945
Denominators are 536,1916
The GCF of 1622,1945 is 1 .
LCM of 536,1916 is 256744.
The greatest common factor of 1622/536,1945/1916 = [GCF of 1622,1945]/[LCM of 536,1916]= 1/256744
Therefore, the GCF of 1622/536,1945/1916 is 1/256744.
To find the highest common factor of 1622,1945, we have to find the factors of both numbers and list the highest common factor.
The factors of 1622 are 1, 2, 811, 1622
The factors of 1945 are 1, 5, 389, 1945
The HCF of 1622,1945 is 1.
Lets's calculate GCF of 1622,1945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1622,1945 By Matching Biggest Common Factor Method
Now, list down the factors of 1622
:1,2,811,1622
Now, list down the factors of 1945
:1,5,389,1945
Greatest Common Factor
We found the factors 1622,1945 . The biggest common factor number is the GCF number.
So the greatest common factor 1622,1945 is 1.
Lets's calculate LCM of 536,1916
| 2 | 536, 1916 |
| 2 | 268, 958 |
| 134, 479 |
∴ So the LCM of the given numbers is 2 x 2 x 134 x 479 = 256744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256744
Therefore, the GCF of Fractions 1622/536,1945/1916 is 1/256744
Least Common Multiple of 536,1916 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 536,1916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,1916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(536,1916) x common factors =4 x 1 = 4
LCM(536,1916) = ( 536 × 1916 ) / 4
LCM(536,1916) = 1026976 / 4
LCM(536,1916) = 256744
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FAQs on GCF of Fractions of 1622/536, 1945/1916
1. What is the HCF of 1622,1945?
The HCF of 1622,1945 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 1622/536, 1945/1916?
Answer: GCF of Numerators as per given numbers 1622/536, 1945/1916 is
GCF of Numerators i.e. for 1622,1945 is 1
LCM of denominators i.e. for 536,1916 is 256744.
Thus, GCF of Fractions is 1/256744.Finally, GCF of Fractions for 1622/536, 1945/1916 is 1/256744.