How to Find GCF of 1846/661, 2696/8444?

GCF of 1846/661, 2696/8444

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 1846/661, 2696/8444 i.e 2/5581484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1846/661, 2696/8444.

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 1846/661,2696/8444?

Given fractions are 1846/661,2696/8444

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 1846/661,2696/8444, numerators are 1846,2696

Denominators are 661,8444

The GCF of 1846,2696 is 2 .

LCM of 661,8444 is 5581484.

The greatest common factor of 1846/661,2696/8444 = [GCF of 1846,2696]/[LCM of 661,8444]= 2/5581484

Therefore, the GCF of 1846/661,2696/8444 is 2/5581484.

Greatest Common Factor of 1846,2696

To find the highest common factor of 1846,2696, we have to find the factors of both numbers and list the highest common factor.

The factors of 1846 are 1, 2, 13, 26, 71, 142, 923, 1846

The factors of 2696 are 1, 2, 4, 8, 337, 674, 1348, 2696

The HCF of 1846,2696 is 2.

Lets's calculate GCF of 1846,2696

Greatest Common Factor (GCF) of 1846,2696 By Common Division

2	1846, 2696
	923, 1348

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

Greatest Common Factor of 1846,2696 By Matching Biggest Common Factor Method

Now, list down the factors of 1846

1,2,13,26,71,142,923,1846

Now, list down the factors of 2696

1,2,4,8,337,674,1348,2696

Greatest Common Factor

We found the factors 1846,2696 . The biggest common factor number is the GCF number.
So the greatest common factor 1846,2696 is 2.

Lets's calculate LCM of 661,8444

Lowest Common Multiple of 661,8444 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5581484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5581484

Therefore, the GCF of Fractions 1846/661,2696/8444 is 2/5581484

Least Common Multiple of 661,8444 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 661,8444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,8444) = 1

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

GCF(661,8444) x common factors =1 x 1 = 1

LCM(661,8444) = ( 661 × 8444 ) / 1

LCM(661,8444) = 5581484 / 1

LCM(661,8444) = 5581484

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FAQs on GCF of Fractions of 1846/661, 2696/8444

1. What is the HCF of 1846,2696?

The HCF of 1846,2696 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 1846/661, 2696/8444?

Answer: GCF of Numerators as per given numbers 1846/661, 2696/8444 is

GCF of Numerators i.e. for 1846,2696 is 2

LCM of denominators i.e. for 661,8444 is 5581484.

Thus, GCF of Fractions is 2/5581484.Finally, GCF of Fractions for 1846/661, 2696/8444 is 2/5581484.