GCF of 2552/529, 3402/2103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2552/529, 3402/2103 i.e 2/1112487 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2552/529, 3402/2103.
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 2552/529,3402/2103?
Given fractions are 2552/529,3402/2103
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 2552/529,3402/2103, numerators are 2552,3402
Denominators are 529,2103
The GCF of 2552,3402 is 2 .
LCM of 529,2103 is 1112487.
The greatest common factor of 2552/529,3402/2103 = [GCF of 2552,3402]/[LCM of 529,2103]= 2/1112487
Therefore, the GCF of 2552/529,3402/2103 is 2/1112487.
To find the highest common factor of 2552,3402, we have to find the factors of both numbers and list the highest common factor.
The factors of 2552 are 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552
The factors of 3402 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701, 3402
The HCF of 2552,3402 is 2.
Lets's calculate GCF of 2552,3402
| 2 | 2552, 3402 |
| 1276, 1701 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2552,3402 By Matching Biggest Common Factor Method
Now, list down the factors of 2552
:1,2,4,8,11,22,29,44,58,88,116,232,319,638,1276,2552
Now, list down the factors of 3402
:1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,243,378,486,567,1134,1701,3402
Greatest Common Factor
We found the factors 2552,3402 . The biggest common factor number is the GCF number.
So the greatest common factor 2552,3402 is 2.
Lets's calculate LCM of 529,2103
Given numbers has no common factors except 1. So, there LCM is their product i.e 1112487
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1112487
Therefore, the GCF of Fractions 2552/529,3402/2103 is 2/1112487
Least Common Multiple of 529,2103 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 529,2103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,2103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,2103) x common factors =1 x 1 = 1
LCM(529,2103) = ( 529 × 2103 ) / 1
LCM(529,2103) = 1112487 / 1
LCM(529,2103) = 1112487
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FAQs on GCF of Fractions of 2552/529, 3402/2103
1. What is the HCF of 2552,3402?
The HCF of 2552,3402 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 2552/529, 3402/2103?
Answer: GCF of Numerators as per given numbers 2552/529, 3402/2103 is
GCF of Numerators i.e. for 2552,3402 is 2
LCM of denominators i.e. for 529,2103 is 1112487.
Thus, GCF of Fractions is 2/1112487.Finally, GCF of Fractions for 2552/529, 3402/2103 is 2/1112487.