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GCF of 1883/344, 1061/743

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 1883/344, 1061/743 i.e 1/255592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1883/344, 1061/743.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1883/344,1061/743?

Given fractions are 1883/344,1061/743

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 1883/344,1061/743, numerators are 1883,1061

Denominators are 344,743

The GCF of 1883,1061 is 1 .

LCM of 344,743 is 255592.

The greatest common factor of 1883/344,1061/743 = [GCF of 1883,1061]/[LCM of 344,743]= 1/255592

Therefore, the GCF of 1883/344,1061/743 is 1/255592.

Greatest Common Factor of 1883,1061

To find the highest common factor of 1883,1061, we have to find the factors of both numbers and list the highest common factor.

The factors of 1883 are 1, 7, 269, 1883

The factors of 1061 are 1, 1061

The HCF of 1883,1061 is 1.

Lets's calculate GCF of 1883,1061

Greatest Common Factor (GCF) of 1883,1061 By Common Division

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

Greatest Common Factor of 1883,1061 By Matching Biggest Common Factor Method

Greatest Common Factor of 1883,1061 By Matching Biggest Common Factor Method

Now, list down the factors of 1883

:

1,7,269,1883

Now, list down the factors of 1061

:

1,1061

Greatest Common Factor

We found the factors 1883,1061 . The biggest common factor number is the GCF number.
So the greatest common factor 1883,1061 is 1.

Lets's calculate LCM of 344,743

Lowest Common Multiple of 344,743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 255592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/255592

Therefore, the GCF of Fractions 1883/344,1061/743 is 1/255592

Least Common Multiple of 344,743 with GCF Formula

Least Common Multiple of 344,743 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 344,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,743) = 1

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

GCF(344,743) x common factors =1 x 1 = 1

LCM(344,743) = ( 344 × 743 ) / 1

LCM(344,743) = 255592 / 1

LCM(344,743) = 255592


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FAQs on GCF of Fractions of 1883/344, 1061/743

1. What is the HCF of 1883,1061?

The HCF of 1883,1061 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 1883/344, 1061/743?

Answer: GCF of Numerators as per given numbers 1883/344, 1061/743 is

GCF of Numerators i.e. for 1883,1061 is 1

LCM of denominators i.e. for 344,743 is 255592.

Thus, GCF of Fractions is 1/255592.Finally, GCF of Fractions for 1883/344, 1061/743 is 1/255592.