How to Find GCF of 2181/385, 8711/3126?

GCF of 2181/385, 8711/3126

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 2181/385, 8711/3126 i.e 1/1203510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2181/385, 8711/3126.

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 2181/385,8711/3126?

Given fractions are 2181/385,8711/3126

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 2181/385,8711/3126, numerators are 2181,8711

Denominators are 385,3126

The GCF of 2181,8711 is 1 .

LCM of 385,3126 is 1203510.

The greatest common factor of 2181/385,8711/3126 = [GCF of 2181,8711]/[LCM of 385,3126]= 1/1203510

Therefore, the GCF of 2181/385,8711/3126 is 1/1203510.

Greatest Common Factor of 2181,8711

To find the highest common factor of 2181,8711, we have to find the factors of both numbers and list the highest common factor.

The factors of 2181 are 1, 3, 727, 2181

The factors of 8711 are 1, 31, 281, 8711

The HCF of 2181,8711 is 1.

Lets's calculate GCF of 2181,8711

Greatest Common Factor (GCF) of 2181,8711 By Common Division

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

Greatest Common Factor of 2181,8711 By Matching Biggest Common Factor Method

Now, list down the factors of 2181

1,3,727,2181

Now, list down the factors of 8711

1,31,281,8711

Greatest Common Factor

We found the factors 2181,8711 . The biggest common factor number is the GCF number.
So the greatest common factor 2181,8711 is 1.

Lets's calculate LCM of 385,3126

Lowest Common Multiple of 385,3126 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1203510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1203510

Therefore, the GCF of Fractions 2181/385,8711/3126 is 1/1203510

Least Common Multiple of 385,3126 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 385,3126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,3126) = 1

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

GCF(385,3126) x common factors =1 x 1 = 1

LCM(385,3126) = ( 385 × 3126 ) / 1

LCM(385,3126) = 1203510 / 1

LCM(385,3126) = 1203510

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FAQs on GCF of Fractions of 2181/385, 8711/3126

1. What is the HCF of 2181,8711?

The HCF of 2181,8711 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 2181/385, 8711/3126?

Answer: GCF of Numerators as per given numbers 2181/385, 8711/3126 is

GCF of Numerators i.e. for 2181,8711 is 1

LCM of denominators i.e. for 385,3126 is 1203510.

Thus, GCF of Fractions is 1/1203510.Finally, GCF of Fractions for 2181/385, 8711/3126 is 1/1203510.