GCF of 479/35, 523/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 479/35, 523/420 i.e 1/420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 479/35, 523/420.
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 479/35,523/420?
Given fractions are 479/35,523/420
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 479/35,523/420, numerators are 479,523
Denominators are 35,420
The GCF of 479,523 is 1 .
LCM of 35,420 is 420.
The greatest common factor of 479/35,523/420 = [GCF of 479,523]/[LCM of 35,420]= 1/420
Therefore, the GCF of 479/35,523/420 is 1/420.
To find the highest common factor of 479,523, we have to find the factors of both numbers and list the highest common factor.
The factors of 479 are 1, 479
The factors of 523 are 1, 523
The HCF of 479,523 is 1.
Lets's calculate GCF of 479,523
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 479,523 By Matching Biggest Common Factor Method
Now, list down the factors of 479
:1,479
Now, list down the factors of 523
:1,523
Greatest Common Factor
We found the factors 479,523 . The biggest common factor number is the GCF number.
So the greatest common factor 479,523 is 1.
Lets's calculate LCM of 35,420
| 5 | 35, 420 |
| 7 | 7, 84 |
| 1, 12 |
∴ So the LCM of the given numbers is 5 x 7 x 1 x 12 = 420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420
Therefore, the GCF of Fractions 479/35,523/420 is 1/420
Least Common Multiple of 35,420 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 35,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,420) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(35,420) x common factors =35 x 1 = 35
LCM(35,420) = ( 35 × 420 ) / 35
LCM(35,420) = 14700 / 35
LCM(35,420) = 420
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FAQs on GCF of Fractions of 479/35, 523/420
1. What is the HCF of 479,523?
The HCF of 479,523 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 479/35, 523/420?
Answer: GCF of Numerators as per given numbers 479/35, 523/420 is
GCF of Numerators i.e. for 479,523 is 1
LCM of denominators i.e. for 35,420 is 420.
Thus, GCF of Fractions is 1/420.Finally, GCF of Fractions for 479/35, 523/420 is 1/420.