GCF of 4525/906, 1429/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4525/906, 1429/960 i.e 1/144960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4525/906, 1429/960.
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 4525/906,1429/960?
Given fractions are 4525/906,1429/960
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 4525/906,1429/960, numerators are 4525,1429
Denominators are 906,960
The GCF of 4525,1429 is 1 .
LCM of 906,960 is 144960.
The greatest common factor of 4525/906,1429/960 = [GCF of 4525,1429]/[LCM of 906,960]= 1/144960
Therefore, the GCF of 4525/906,1429/960 is 1/144960.
To find the highest common factor of 4525,1429, we have to find the factors of both numbers and list the highest common factor.
The factors of 4525 are 1, 5, 25, 181, 905, 4525
The factors of 1429 are 1, 1429
The HCF of 4525,1429 is 1.
Lets's calculate GCF of 4525,1429
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4525,1429 By Matching Biggest Common Factor Method
Now, list down the factors of 4525
:1,5,25,181,905,4525
Now, list down the factors of 1429
:1,1429
Greatest Common Factor
We found the factors 4525,1429 . The biggest common factor number is the GCF number.
So the greatest common factor 4525,1429 is 1.
Lets's calculate LCM of 906,960
| 2 | 906, 960 |
| 3 | 453, 480 |
| 151, 160 |
∴ So the LCM of the given numbers is 2 x 3 x 151 x 160 = 144960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144960
Therefore, the GCF of Fractions 4525/906,1429/960 is 1/144960
Least Common Multiple of 906,960 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 906,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,960) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(906,960) x common factors =6 x 1 = 6
LCM(906,960) = ( 906 × 960 ) / 6
LCM(906,960) = 869760 / 6
LCM(906,960) = 144960
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FAQs on GCF of Fractions of 4525/906, 1429/960
1. What is the HCF of 4525,1429?
The HCF of 4525,1429 is 1
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 4525/906, 1429/960?
Answer: GCF of Numerators as per given numbers 4525/906, 1429/960 is
GCF of Numerators i.e. for 4525,1429 is 1
LCM of denominators i.e. for 906,960 is 144960.
Thus, GCF of Fractions is 1/144960.Finally, GCF of Fractions for 4525/906, 1429/960 is 1/144960.