GCF of 531/70, 417/459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 531/70, 417/459 i.e 3/32130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 531/70, 417/459.
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 531/70,417/459?
Given fractions are 531/70,417/459
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 531/70,417/459, numerators are 531,417
Denominators are 70,459
The GCF of 531,417 is 3 .
LCM of 70,459 is 32130.
The greatest common factor of 531/70,417/459 = [GCF of 531,417]/[LCM of 70,459]= 3/32130
Therefore, the GCF of 531/70,417/459 is 3/32130.
To find the highest common factor of 531,417, we have to find the factors of both numbers and list the highest common factor.
The factors of 531 are 1, 3, 9, 59, 177, 531
The factors of 417 are 1, 3, 139, 417
The HCF of 531,417 is 3.
Lets's calculate GCF of 531,417
| 3 | 531, 417 |
| 177, 139 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 531,417 By Matching Biggest Common Factor Method
Now, list down the factors of 531
:1,3,9,59,177,531
Now, list down the factors of 417
:1,3,139,417
Greatest Common Factor
We found the factors 531,417 . The biggest common factor number is the GCF number.
So the greatest common factor 531,417 is 3.
Lets's calculate LCM of 70,459
Given numbers has no common factors except 1. So, there LCM is their product i.e 32130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/32130
Therefore, the GCF of Fractions 531/70,417/459 is 3/32130
Least Common Multiple of 70,459 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 70,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,459) x common factors =1 x 1 = 1
LCM(70,459) = ( 70 × 459 ) / 1
LCM(70,459) = 32130 / 1
LCM(70,459) = 32130
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FAQs on GCF of Fractions of 531/70, 417/459
1. What is the HCF of 531,417?
The HCF of 531,417 is 3
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 531/70, 417/459?
Answer: GCF of Numerators as per given numbers 531/70, 417/459 is
GCF of Numerators i.e. for 531,417 is 3
LCM of denominators i.e. for 70,459 is 32130.
Thus, GCF of Fractions is 3/32130.Finally, GCF of Fractions for 531/70, 417/459 is 3/32130.