GCF of 3583/441, 4235/1008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3583/441, 4235/1008 i.e 1/7056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3583/441, 4235/1008.
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 3583/441,4235/1008?
Given fractions are 3583/441,4235/1008
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 3583/441,4235/1008, numerators are 3583,4235
Denominators are 441,1008
The GCF of 3583,4235 is 1 .
LCM of 441,1008 is 7056.
The greatest common factor of 3583/441,4235/1008 = [GCF of 3583,4235]/[LCM of 441,1008]= 1/7056
Therefore, the GCF of 3583/441,4235/1008 is 1/7056.
To find the highest common factor of 3583,4235, we have to find the factors of both numbers and list the highest common factor.
The factors of 3583 are 1, 3583
The factors of 4235 are 1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 4235
The HCF of 3583,4235 is 1.
Lets's calculate GCF of 3583,4235
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3583,4235 By Matching Biggest Common Factor Method
Now, list down the factors of 3583
:1,3583
Now, list down the factors of 4235
:1,5,7,11,35,55,77,121,385,605,847,4235
Greatest Common Factor
We found the factors 3583,4235 . The biggest common factor number is the GCF number.
So the greatest common factor 3583,4235 is 1.
Lets's calculate LCM of 441,1008
| 3 | 441, 1008 |
| 3 | 147, 336 |
| 7 | 49, 112 |
| 7, 16 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 7 x 16 = 7056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7056
Therefore, the GCF of Fractions 3583/441,4235/1008 is 1/7056
Least Common Multiple of 441,1008 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 441,1008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,1008) = 63
common factors(in case of two or more numbers have common factors) = 1
GCF(441,1008) x common factors =63 x 1 = 63
LCM(441,1008) = ( 441 × 1008 ) / 63
LCM(441,1008) = 444528 / 63
LCM(441,1008) = 7056
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FAQs on GCF of Fractions of 3583/441, 4235/1008
1. What is the HCF of 3583,4235?
The HCF of 3583,4235 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 3583/441, 4235/1008?
Answer: GCF of Numerators as per given numbers 3583/441, 4235/1008 is
GCF of Numerators i.e. for 3583,4235 is 1
LCM of denominators i.e. for 441,1008 is 7056.
Thus, GCF of Fractions is 1/7056.Finally, GCF of Fractions for 3583/441, 4235/1008 is 1/7056.