How to Find GCF of 2111/142, 9943/8833?

GCF of 2111/142, 9943/8833

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 2111/142, 9943/8833 i.e 1/1254286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2111/142, 9943/8833.

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 2111/142,9943/8833?

Given fractions are 2111/142,9943/8833

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 2111/142,9943/8833, numerators are 2111,9943

Denominators are 142,8833

The GCF of 2111,9943 is 1 .

LCM of 142,8833 is 1254286.

The greatest common factor of 2111/142,9943/8833 = [GCF of 2111,9943]/[LCM of 142,8833]= 1/1254286

Therefore, the GCF of 2111/142,9943/8833 is 1/1254286.

Greatest Common Factor of 2111,9943

To find the highest common factor of 2111,9943, we have to find the factors of both numbers and list the highest common factor.

The factors of 2111 are 1, 2111

The factors of 9943 are 1, 61, 163, 9943

The HCF of 2111,9943 is 1.

Lets's calculate GCF of 2111,9943

Greatest Common Factor (GCF) of 2111,9943 By Common Division

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

Greatest Common Factor of 2111,9943 By Matching Biggest Common Factor Method

Now, list down the factors of 2111

1,2111

Now, list down the factors of 9943

1,61,163,9943

Greatest Common Factor

We found the factors 2111,9943 . The biggest common factor number is the GCF number.
So the greatest common factor 2111,9943 is 1.

Lets's calculate LCM of 142,8833

Lowest Common Multiple of 142,8833 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1254286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1254286

Therefore, the GCF of Fractions 2111/142,9943/8833 is 1/1254286

Least Common Multiple of 142,8833 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 142,8833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,8833) = 1

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

GCF(142,8833) x common factors =1 x 1 = 1

LCM(142,8833) = ( 142 × 8833 ) / 1

LCM(142,8833) = 1254286 / 1

LCM(142,8833) = 1254286

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2111/142, 9943/8833

1. What is the HCF of 2111,9943?

The HCF of 2111,9943 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 2111/142, 9943/8833?

Answer: GCF of Numerators as per given numbers 2111/142, 9943/8833 is

GCF of Numerators i.e. for 2111,9943 is 1

LCM of denominators i.e. for 142,8833 is 1254286.

Thus, GCF of Fractions is 1/1254286.Finally, GCF of Fractions for 2111/142, 9943/8833 is 1/1254286.