How to Find GCF of 1906/836, 2569/3664?

GCF of 1906/836, 2569/3664

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 1906/836, 2569/3664 i.e 1/765776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1906/836, 2569/3664.

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 1906/836,2569/3664?

Given fractions are 1906/836,2569/3664

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 1906/836,2569/3664, numerators are 1906,2569

Denominators are 836,3664

The GCF of 1906,2569 is 1 .

LCM of 836,3664 is 765776.

The greatest common factor of 1906/836,2569/3664 = [GCF of 1906,2569]/[LCM of 836,3664]= 1/765776

Therefore, the GCF of 1906/836,2569/3664 is 1/765776.

Greatest Common Factor of 1906,2569

To find the highest common factor of 1906,2569, we have to find the factors of both numbers and list the highest common factor.

The factors of 1906 are 1, 2, 953, 1906

The factors of 2569 are 1, 7, 367, 2569

The HCF of 1906,2569 is 1.

Lets's calculate GCF of 1906,2569

Greatest Common Factor (GCF) of 1906,2569 By Common Division

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

Greatest Common Factor of 1906,2569 By Matching Biggest Common Factor Method

Now, list down the factors of 1906

1,2,953,1906

Now, list down the factors of 2569

1,7,367,2569

Greatest Common Factor

We found the factors 1906,2569 . The biggest common factor number is the GCF number.
So the greatest common factor 1906,2569 is 1.

Lets's calculate LCM of 836,3664

Lowest Common Multiple of 836,3664 using Common Division

2	836, 3664
2	418, 1832
	209, 916

∴ So the LCM of the given numbers is 2 x 2 x 209 x 916 = 765776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/765776

Therefore, the GCF of Fractions 1906/836,2569/3664 is 1/765776

Least Common Multiple of 836,3664 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 836,3664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,3664) = 4

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

GCF(836,3664) x common factors =4 x 1 = 4

LCM(836,3664) = ( 836 × 3664 ) / 4

LCM(836,3664) = 3063104 / 4

LCM(836,3664) = 765776

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FAQs on GCF of Fractions of 1906/836, 2569/3664

1. What is the HCF of 1906,2569?

The HCF of 1906,2569 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 1906/836, 2569/3664?

Answer: GCF of Numerators as per given numbers 1906/836, 2569/3664 is

GCF of Numerators i.e. for 1906,2569 is 1

LCM of denominators i.e. for 836,3664 is 765776.

Thus, GCF of Fractions is 1/765776.Finally, GCF of Fractions for 1906/836, 2569/3664 is 1/765776.