GCF of 2574/517, 1996/2754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2574/517, 1996/2754 i.e 2/1423818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2574/517, 1996/2754.
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 2574/517,1996/2754?
Given fractions are 2574/517,1996/2754
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 2574/517,1996/2754, numerators are 2574,1996
Denominators are 517,2754
The GCF of 2574,1996 is 2 .
LCM of 517,2754 is 1423818.
The greatest common factor of 2574/517,1996/2754 = [GCF of 2574,1996]/[LCM of 517,2754]= 2/1423818
Therefore, the GCF of 2574/517,1996/2754 is 2/1423818.
To find the highest common factor of 2574,1996, we have to find the factors of both numbers and list the highest common factor.
The factors of 2574 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287, 2574
The factors of 1996 are 1, 2, 4, 499, 998, 1996
The HCF of 2574,1996 is 2.
Lets's calculate GCF of 2574,1996
| 2 | 2574, 1996 |
| 1287, 998 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2574,1996 By Matching Biggest Common Factor Method
Now, list down the factors of 2574
:1,2,3,6,9,11,13,18,22,26,33,39,66,78,99,117,143,198,234,286,429,858,1287,2574
Now, list down the factors of 1996
:1,2,4,499,998,1996
Greatest Common Factor
We found the factors 2574,1996 . The biggest common factor number is the GCF number.
So the greatest common factor 2574,1996 is 2.
Lets's calculate LCM of 517,2754
Given numbers has no common factors except 1. So, there LCM is their product i.e 1423818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1423818
Therefore, the GCF of Fractions 2574/517,1996/2754 is 2/1423818
Least Common Multiple of 517,2754 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 517,2754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,2754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,2754) x common factors =1 x 1 = 1
LCM(517,2754) = ( 517 × 2754 ) / 1
LCM(517,2754) = 1423818 / 1
LCM(517,2754) = 1423818
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FAQs on GCF of Fractions of 2574/517, 1996/2754
1. What is the HCF of 2574,1996?
The HCF of 2574,1996 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 2574/517, 1996/2754?
Answer: GCF of Numerators as per given numbers 2574/517, 1996/2754 is
GCF of Numerators i.e. for 2574,1996 is 2
LCM of denominators i.e. for 517,2754 is 1423818.
Thus, GCF of Fractions is 2/1423818.Finally, GCF of Fractions for 2574/517, 1996/2754 is 2/1423818.