How to Find GCF of 2347/846, 3386/2818?

GCF of 2347/846, 3386/2818

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 2347/846, 3386/2818 i.e 1/1192014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2347/846, 3386/2818.

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 2347/846,3386/2818?

Given fractions are 2347/846,3386/2818

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 2347/846,3386/2818, numerators are 2347,3386

Denominators are 846,2818

The GCF of 2347,3386 is 1 .

LCM of 846,2818 is 1192014.

The greatest common factor of 2347/846,3386/2818 = [GCF of 2347,3386]/[LCM of 846,2818]= 1/1192014

Therefore, the GCF of 2347/846,3386/2818 is 1/1192014.

Greatest Common Factor of 2347,3386

To find the highest common factor of 2347,3386, we have to find the factors of both numbers and list the highest common factor.

The factors of 2347 are 1, 2347

The factors of 3386 are 1, 2, 1693, 3386

The HCF of 2347,3386 is 1.

Lets's calculate GCF of 2347,3386

Greatest Common Factor (GCF) of 2347,3386 By Common Division

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

Greatest Common Factor of 2347,3386 By Matching Biggest Common Factor Method

Now, list down the factors of 2347

1,2347

Now, list down the factors of 3386

1,2,1693,3386

Greatest Common Factor

We found the factors 2347,3386 . The biggest common factor number is the GCF number.
So the greatest common factor 2347,3386 is 1.

Lets's calculate LCM of 846,2818

Lowest Common Multiple of 846,2818 using Common Division

2	846, 2818
	423, 1409

∴ So the LCM of the given numbers is 2 x 423 x 1409 = 1192014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1192014

Therefore, the GCF of Fractions 2347/846,3386/2818 is 1/1192014

Least Common Multiple of 846,2818 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 846,2818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,2818) = 2

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

GCF(846,2818) x common factors =2 x 1 = 2

LCM(846,2818) = ( 846 × 2818 ) / 2

LCM(846,2818) = 2384028 / 2

LCM(846,2818) = 1192014

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FAQs on GCF of Fractions of 2347/846, 3386/2818

1. What is the HCF of 2347,3386?

The HCF of 2347,3386 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 2347/846, 3386/2818?

Answer: GCF of Numerators as per given numbers 2347/846, 3386/2818 is

GCF of Numerators i.e. for 2347,3386 is 1

LCM of denominators i.e. for 846,2818 is 1192014.

Thus, GCF of Fractions is 1/1192014.Finally, GCF of Fractions for 2347/846, 3386/2818 is 1/1192014.