How to Find GCF of 2143/934, 1887/8511?

GCF of 2143/934, 1887/8511

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 2143/934, 1887/8511 i.e 1/7949274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2143/934, 1887/8511.

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 2143/934,1887/8511?

Given fractions are 2143/934,1887/8511

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 2143/934,1887/8511, numerators are 2143,1887

Denominators are 934,8511

The GCF of 2143,1887 is 1 .

LCM of 934,8511 is 7949274.

The greatest common factor of 2143/934,1887/8511 = [GCF of 2143,1887]/[LCM of 934,8511]= 1/7949274

Therefore, the GCF of 2143/934,1887/8511 is 1/7949274.

Greatest Common Factor of 2143,1887

To find the highest common factor of 2143,1887, we have to find the factors of both numbers and list the highest common factor.

The factors of 2143 are 1, 2143

The factors of 1887 are 1, 3, 17, 37, 51, 111, 629, 1887

The HCF of 2143,1887 is 1.

Lets's calculate GCF of 2143,1887

Greatest Common Factor (GCF) of 2143,1887 By Common Division

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

Greatest Common Factor of 2143,1887 By Matching Biggest Common Factor Method

Now, list down the factors of 2143

1,2143

Now, list down the factors of 1887

1,3,17,37,51,111,629,1887

Greatest Common Factor

We found the factors 2143,1887 . The biggest common factor number is the GCF number.
So the greatest common factor 2143,1887 is 1.

Lets's calculate LCM of 934,8511

Lowest Common Multiple of 934,8511 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7949274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7949274

Therefore, the GCF of Fractions 2143/934,1887/8511 is 1/7949274

Least Common Multiple of 934,8511 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 934,8511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,8511) = 1

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

GCF(934,8511) x common factors =1 x 1 = 1

LCM(934,8511) = ( 934 × 8511 ) / 1

LCM(934,8511) = 7949274 / 1

LCM(934,8511) = 7949274

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FAQs on GCF of Fractions of 2143/934, 1887/8511

1. What is the HCF of 2143,1887?

The HCF of 2143,1887 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 2143/934, 1887/8511?

Answer: GCF of Numerators as per given numbers 2143/934, 1887/8511 is

GCF of Numerators i.e. for 2143,1887 is 1

LCM of denominators i.e. for 934,8511 is 7949274.

Thus, GCF of Fractions is 1/7949274.Finally, GCF of Fractions for 2143/934, 1887/8511 is 1/7949274.