GCF of 452/517, 8426/490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 452/517, 8426/490 i.e 2/253330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/517, 8426/490.
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 452/517,8426/490?
Given fractions are 452/517,8426/490
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 452/517,8426/490, numerators are 452,8426
Denominators are 517,490
The GCF of 452,8426 is 2 .
LCM of 517,490 is 253330.
The greatest common factor of 452/517,8426/490 = [GCF of 452,8426]/[LCM of 517,490]= 2/253330
Therefore, the GCF of 452/517,8426/490 is 2/253330.
To find the highest common factor of 452,8426, we have to find the factors of both numbers and list the highest common factor.
The factors of 452 are 1, 2, 4, 113, 226, 452
The factors of 8426 are 1, 2, 11, 22, 383, 766, 4213, 8426
The HCF of 452,8426 is 2.
Lets's calculate GCF of 452,8426
| 2 | 452, 8426 |
| 226, 4213 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 452,8426 By Matching Biggest Common Factor Method
Now, list down the factors of 452
:1,2,4,113,226,452
Now, list down the factors of 8426
:1,2,11,22,383,766,4213,8426
Greatest Common Factor
We found the factors 452,8426 . The biggest common factor number is the GCF number.
So the greatest common factor 452,8426 is 2.
Lets's calculate LCM of 517,490
Given numbers has no common factors except 1. So, there LCM is their product i.e 253330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/253330
Therefore, the GCF of Fractions 452/517,8426/490 is 2/253330
Least Common Multiple of 517,490 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 517,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,490) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,490) x common factors =1 x 1 = 1
LCM(517,490) = ( 517 × 490 ) / 1
LCM(517,490) = 253330 / 1
LCM(517,490) = 253330
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FAQs on GCF of Fractions of 452/517, 8426/490
1. What is the HCF of 452,8426?
The HCF of 452,8426 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 452/517, 8426/490?
Answer: GCF of Numerators as per given numbers 452/517, 8426/490 is
GCF of Numerators i.e. for 452,8426 is 2
LCM of denominators i.e. for 517,490 is 253330.
Thus, GCF of Fractions is 2/253330.Finally, GCF of Fractions for 452/517, 8426/490 is 2/253330.