GCF of 531/87, 245/732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 531/87, 245/732 i.e 1/21228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 531/87, 245/732.
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 531/87,245/732?
Given fractions are 531/87,245/732
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 531/87,245/732, numerators are 531,245
Denominators are 87,732
The GCF of 531,245 is 1 .
LCM of 87,732 is 21228.
The greatest common factor of 531/87,245/732 = [GCF of 531,245]/[LCM of 87,732]= 1/21228
Therefore, the GCF of 531/87,245/732 is 1/21228.
To find the highest common factor of 531,245, 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 245 are 1, 5, 7, 35, 49, 245
The HCF of 531,245 is 1.
Lets's calculate GCF of 531,245
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 531,245 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 245
:1,5,7,35,49,245
Greatest Common Factor
We found the factors 531,245 . The biggest common factor number is the GCF number.
So the greatest common factor 531,245 is 1.
Lets's calculate LCM of 87,732
| 3 | 87, 732 |
| 29, 244 |
∴ So the LCM of the given numbers is 3 x 29 x 244 = 21228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21228
Therefore, the GCF of Fractions 531/87,245/732 is 1/21228
Least Common Multiple of 87,732 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 87,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,732) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,732) x common factors =3 x 1 = 3
LCM(87,732) = ( 87 × 732 ) / 3
LCM(87,732) = 63684 / 3
LCM(87,732) = 21228
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FAQs on GCF of Fractions of 531/87, 245/732
1. What is the HCF of 531,245?
The HCF of 531,245 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 531/87, 245/732?
Answer: GCF of Numerators as per given numbers 531/87, 245/732 is
GCF of Numerators i.e. for 531,245 is 1
LCM of denominators i.e. for 87,732 is 21228.
Thus, GCF of Fractions is 1/21228.Finally, GCF of Fractions for 531/87, 245/732 is 1/21228.