GCF of 435/415, 841/480
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 435/415, 841/480 i.e 29/39840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 435/415, 841/480.
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 435/415,841/480?
Given fractions are 435/415,841/480
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 435/415,841/480, numerators are 435,841
Denominators are 415,480
The GCF of 435,841 is 29 .
LCM of 415,480 is 39840.
The greatest common factor of 435/415,841/480 = [GCF of 435,841]/[LCM of 415,480]= 29/39840
Therefore, the GCF of 435/415,841/480 is 29/39840.
To find the highest common factor of 435,841, we have to find the factors of both numbers and list the highest common factor.
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435
The factors of 841 are 1, 29, 841
The HCF of 435,841 is 29.
Lets's calculate GCF of 435,841
| 29 | 435, 841 |
| 15, 29 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 435,841 By Matching Biggest Common Factor Method
Now, list down the factors of 435
:1,3,5,15,29,87,145,435
Now, list down the factors of 841
:1,29,841
Greatest Common Factor
We found the factors 435,841 . The biggest common factor number is the GCF number.
So the greatest common factor 435,841 is 29.
Lets's calculate LCM of 415,480
| 5 | 415, 480 |
| 83, 96 |
∴ So the LCM of the given numbers is 5 x 83 x 96 = 39840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/39840
Therefore, the GCF of Fractions 435/415,841/480 is 29/39840
Least Common Multiple of 415,480 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 415,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,480) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(415,480) x common factors =5 x 1 = 5
LCM(415,480) = ( 415 × 480 ) / 5
LCM(415,480) = 199200 / 5
LCM(415,480) = 39840
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FAQs on GCF of Fractions of 435/415, 841/480
1. What is the HCF of 435,841?
The HCF of 435,841 is 29
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 435/415, 841/480?
Answer: GCF of Numerators as per given numbers 435/415, 841/480 is
GCF of Numerators i.e. for 435,841 is 29
LCM of denominators i.e. for 415,480 is 39840.
Thus, GCF of Fractions is 29/39840.Finally, GCF of Fractions for 435/415, 841/480 is 29/39840.