GCF of 2522/827, 1932/740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2522/827, 1932/740 i.e 2/611980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2522/827, 1932/740.
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 2522/827,1932/740?
Given fractions are 2522/827,1932/740
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 2522/827,1932/740, numerators are 2522,1932
Denominators are 827,740
The GCF of 2522,1932 is 2 .
LCM of 827,740 is 611980.
The greatest common factor of 2522/827,1932/740 = [GCF of 2522,1932]/[LCM of 827,740]= 2/611980
Therefore, the GCF of 2522/827,1932/740 is 2/611980.
To find the highest common factor of 2522,1932, we have to find the factors of both numbers and list the highest common factor.
The factors of 2522 are 1, 2, 13, 26, 97, 194, 1261, 2522
The factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932
The HCF of 2522,1932 is 2.
Lets's calculate GCF of 2522,1932
| 2 | 2522, 1932 |
| 1261, 966 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2522,1932 By Matching Biggest Common Factor Method
Now, list down the factors of 2522
:1,2,13,26,97,194,1261,2522
Now, list down the factors of 1932
:1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932
Greatest Common Factor
We found the factors 2522,1932 . The biggest common factor number is the GCF number.
So the greatest common factor 2522,1932 is 2.
Lets's calculate LCM of 827,740
Given numbers has no common factors except 1. So, there LCM is their product i.e 611980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/611980
Therefore, the GCF of Fractions 2522/827,1932/740 is 2/611980
Least Common Multiple of 827,740 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 827,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,740) x common factors =1 x 1 = 1
LCM(827,740) = ( 827 × 740 ) / 1
LCM(827,740) = 611980 / 1
LCM(827,740) = 611980
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FAQs on GCF of Fractions of 2522/827, 1932/740
1. What is the HCF of 2522,1932?
The HCF of 2522,1932 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 2522/827, 1932/740?
Answer: GCF of Numerators as per given numbers 2522/827, 1932/740 is
GCF of Numerators i.e. for 2522,1932 is 2
LCM of denominators i.e. for 827,740 is 611980.
Thus, GCF of Fractions is 2/611980.Finally, GCF of Fractions for 2522/827, 1932/740 is 2/611980.