GCF of 1452/420, 1408/8503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1452/420, 1408/8503 i.e 44/3571260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1452/420, 1408/8503.
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 1452/420,1408/8503?
Given fractions are 1452/420,1408/8503
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 1452/420,1408/8503, numerators are 1452,1408
Denominators are 420,8503
The GCF of 1452,1408 is 44 .
LCM of 420,8503 is 3571260.
The greatest common factor of 1452/420,1408/8503 = [GCF of 1452,1408]/[LCM of 420,8503]= 44/3571260
Therefore, the GCF of 1452/420,1408/8503 is 44/3571260.
To find the highest common factor of 1452,1408, we have to find the factors of both numbers and list the highest common factor.
The factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452
The factors of 1408 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704, 1408
The HCF of 1452,1408 is 44.
Lets's calculate GCF of 1452,1408
| 2 | 1452, 1408 |
| 2 | 726, 704 |
| 11 | 363, 352 |
| 33, 32 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Greatest Common Factor of 1452,1408 By Matching Biggest Common Factor Method
Now, list down the factors of 1452
:1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452
Now, list down the factors of 1408
:1,2,4,8,11,16,22,32,44,64,88,128,176,352,704,1408
Greatest Common Factor
We found the factors 1452,1408 . The biggest common factor number is the GCF number.
So the greatest common factor 1452,1408 is 44.
Lets's calculate LCM of 420,8503
Given numbers has no common factors except 1. So, there LCM is their product i.e 3571260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/3571260
Therefore, the GCF of Fractions 1452/420,1408/8503 is 44/3571260
Least Common Multiple of 420,8503 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 420,8503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,8503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,8503) x common factors =1 x 1 = 1
LCM(420,8503) = ( 420 × 8503 ) / 1
LCM(420,8503) = 3571260 / 1
LCM(420,8503) = 3571260
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FAQs on GCF of Fractions of 1452/420, 1408/8503
1. What is the HCF of 1452,1408?
The HCF of 1452,1408 is 44
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 1452/420, 1408/8503?
Answer: GCF of Numerators as per given numbers 1452/420, 1408/8503 is
GCF of Numerators i.e. for 1452,1408 is 44
LCM of denominators i.e. for 420,8503 is 3571260.
Thus, GCF of Fractions is 44/3571260.Finally, GCF of Fractions for 1452/420, 1408/8503 is 44/3571260.