How to Find GCF of 90/150, 275/102, 503/831?

GCF of 90/150, 275/102, 503/831

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 90/150, 275/102, 503/831 i.e 1/706350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/150, 275/102, 503/831.

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 90/150,275/102,503/831?

Given fractions are 90/150,275/102,503/831

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 90/150,275/102,503/831, numerators are 90,275,503

Denominators are 150,102,831

The GCF of 90,275,503 is 1 .

LCM of 150,102,831 is 706350.

The greatest common factor of 90/150,275/102,503/831 = [GCF of 90,275,503]/[LCM of 150,102,831]= 1/706350

Therefore, the GCF of 90/150,275/102,503/831 is 1/706350.

Greatest Common Factor of 90,275,503

To find the highest common factor of 90,275,503, we have to find the factors of both numbers and list the highest common factor.

The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The factors of 275 are 1, 5, 11, 25, 55, 275

The factors of 503 are 1, 503

The HCF of 90,275,503 is 1.

Lets's calculate GCF of 90,275,503

Greatest Common Factor (GCF) of 90,275,503 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 90,275,503 By Matching Biggest Common Factor Method

Now, list down the factors of 90

1,2,3,5,6,9,10,15,18,30,45,90

Now, list down the factors of 275

1,5,11,25,55,275

Now, list down the factors of 503

1,503

Greatest Common Factor

We found the factors 90,275,503 . The biggest common factor number is the GCF number.
So the greatest common factor 90,275,503 is 1.

Lets's calculate LCM of 150,102,831

Lowest Common Multiple of 150,102,831 using Common Division

2	150, 102, 831
3	75, 51, 831
	25, 17, 277

∴ So the LCM of the given numbers is 2 x 3 x 25 x 17 x 277 = 706350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/706350

Therefore, the GCF of Fractions 90/150,275/102,503/831 is 1/706350

Least Common Multiple of 150,102,831 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 150,102,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,102,831) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(150,102,831) x common factors =3 x 6 = 18

LCM(150,102,831) = ( 150 × 102 × 831 ) / 18

LCM(150,102,831) = 12714300 / 18

LCM(150,102,831) = 706350

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 90/150, 275/102, 503/831

1. What is the HCF of 90,275,503?

The HCF of 90,275,503 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 90/150, 275/102, 503/831?

Answer: GCF of Numerators as per given numbers 90/150, 275/102, 503/831 is

GCF of Numerators i.e. for 90,275,503 is 1

LCM of denominators i.e. for 150,102,831 is 706350.

Thus, GCF of Fractions is 1/706350.Finally, GCF of Fractions for 90/150, 275/102, 503/831 is 1/706350.