How to Find GCF of 382/946, 900/259?

GCF of 382/946, 900/259

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 382/946, 900/259 i.e 2/245014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 382/946, 900/259.

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 382/946,900/259?

Given fractions are 382/946,900/259

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 382/946,900/259, numerators are 382,900

Denominators are 946,259

The GCF of 382,900 is 2 .

LCM of 946,259 is 245014.

The greatest common factor of 382/946,900/259 = [GCF of 382,900]/[LCM of 946,259]= 2/245014

Therefore, the GCF of 382/946,900/259 is 2/245014.

Greatest Common Factor of 382,900

To find the highest common factor of 382,900, we have to find the factors of both numbers and list the highest common factor.

The factors of 382 are 1, 2, 191, 382

The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

The HCF of 382,900 is 2.

Lets's calculate GCF of 382,900

Greatest Common Factor (GCF) of 382,900 By Common Division

2	382, 900
	191, 450

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 382,900 By Matching Biggest Common Factor Method

Now, list down the factors of 382

1,2,191,382

Now, list down the factors of 900

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 382,900 . The biggest common factor number is the GCF number.
So the greatest common factor 382,900 is 2.

Lets's calculate LCM of 946,259

Lowest Common Multiple of 946,259 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 245014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/245014

Therefore, the GCF of Fractions 382/946,900/259 is 2/245014

Least Common Multiple of 946,259 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 946,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,259) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(946,259) x common factors =1 x 1 = 1

LCM(946,259) = ( 946 × 259 ) / 1

LCM(946,259) = 245014 / 1

LCM(946,259) = 245014

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FAQs on GCF of Fractions of 382/946, 900/259

1. What is the HCF of 382,900?

The HCF of 382,900 is 2

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 382/946, 900/259?

Answer: GCF of Numerators as per given numbers 382/946, 900/259 is

GCF of Numerators i.e. for 382,900 is 2

LCM of denominators i.e. for 946,259 is 245014.

Thus, GCF of Fractions is 2/245014.Finally, GCF of Fractions for 382/946, 900/259 is 2/245014.