How to Find GCF of 1943/660, 2803/5258?

GCF of 1943/660, 2803/5258

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 1943/660, 2803/5258 i.e 1/157740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1943/660, 2803/5258.

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 1943/660,2803/5258?

Given fractions are 1943/660,2803/5258

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 1943/660,2803/5258, numerators are 1943,2803

Denominators are 660,5258

The GCF of 1943,2803 is 1 .

LCM of 660,5258 is 157740.

The greatest common factor of 1943/660,2803/5258 = [GCF of 1943,2803]/[LCM of 660,5258]= 1/157740

Therefore, the GCF of 1943/660,2803/5258 is 1/157740.

Greatest Common Factor of 1943,2803

To find the highest common factor of 1943,2803, we have to find the factors of both numbers and list the highest common factor.

The factors of 1943 are 1, 29, 67, 1943

The factors of 2803 are 1, 2803

The HCF of 1943,2803 is 1.

Lets's calculate GCF of 1943,2803

Greatest Common Factor (GCF) of 1943,2803 By Common Division

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

Greatest Common Factor of 1943,2803 By Matching Biggest Common Factor Method

Now, list down the factors of 1943

1,29,67,1943

Now, list down the factors of 2803

1,2803

Greatest Common Factor

We found the factors 1943,2803 . The biggest common factor number is the GCF number.
So the greatest common factor 1943,2803 is 1.

Lets's calculate LCM of 660,5258

Lowest Common Multiple of 660,5258 using Common Division

2	660, 5258
11	330, 2629
	30, 239

∴ So the LCM of the given numbers is 2 x 11 x 30 x 239 = 157740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157740

Therefore, the GCF of Fractions 1943/660,2803/5258 is 1/157740

Least Common Multiple of 660,5258 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 660,5258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,5258) = 22

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

GCF(660,5258) x common factors =22 x 1 = 22

LCM(660,5258) = ( 660 × 5258 ) / 22

LCM(660,5258) = 3470280 / 22

LCM(660,5258) = 157740

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FAQs on GCF of Fractions of 1943/660, 2803/5258

1. What is the HCF of 1943,2803?

The HCF of 1943,2803 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 1943/660, 2803/5258?

Answer: GCF of Numerators as per given numbers 1943/660, 2803/5258 is

GCF of Numerators i.e. for 1943,2803 is 1

LCM of denominators i.e. for 660,5258 is 157740.

Thus, GCF of Fractions is 1/157740.Finally, GCF of Fractions for 1943/660, 2803/5258 is 1/157740.