How to Find GCF of 3361/470, 1300/1926?

GCF of 3361/470, 1300/1926

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 3361/470, 1300/1926 i.e 1/452610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3361/470, 1300/1926.

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 3361/470,1300/1926?

Given fractions are 3361/470,1300/1926

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 3361/470,1300/1926, numerators are 3361,1300

Denominators are 470,1926

The GCF of 3361,1300 is 1 .

LCM of 470,1926 is 452610.

The greatest common factor of 3361/470,1300/1926 = [GCF of 3361,1300]/[LCM of 470,1926]= 1/452610

Therefore, the GCF of 3361/470,1300/1926 is 1/452610.

Greatest Common Factor of 3361,1300

To find the highest common factor of 3361,1300, we have to find the factors of both numbers and list the highest common factor.

The factors of 3361 are 1, 3361

The factors of 1300 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300

The HCF of 3361,1300 is 1.

Lets's calculate GCF of 3361,1300

Greatest Common Factor (GCF) of 3361,1300 By Common Division

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

Greatest Common Factor of 3361,1300 By Matching Biggest Common Factor Method

Now, list down the factors of 3361

1,3361

Now, list down the factors of 1300

1,2,4,5,10,13,20,25,26,50,52,65,100,130,260,325,650,1300

Greatest Common Factor

We found the factors 3361,1300 . The biggest common factor number is the GCF number.
So the greatest common factor 3361,1300 is 1.

Lets's calculate LCM of 470,1926

Lowest Common Multiple of 470,1926 using Common Division

2	470, 1926
	235, 963

∴ So the LCM of the given numbers is 2 x 235 x 963 = 452610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452610

Therefore, the GCF of Fractions 3361/470,1300/1926 is 1/452610

Least Common Multiple of 470,1926 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 470,1926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,1926) = 2

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

GCF(470,1926) x common factors =2 x 1 = 2

LCM(470,1926) = ( 470 × 1926 ) / 2

LCM(470,1926) = 905220 / 2

LCM(470,1926) = 452610

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FAQs on GCF of Fractions of 3361/470, 1300/1926

1. What is the HCF of 3361,1300?

The HCF of 3361,1300 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 3361/470, 1300/1926?

Answer: GCF of Numerators as per given numbers 3361/470, 1300/1926 is

GCF of Numerators i.e. for 3361,1300 is 1

LCM of denominators i.e. for 470,1926 is 452610.

Thus, GCF of Fractions is 1/452610.Finally, GCF of Fractions for 3361/470, 1300/1926 is 1/452610.