How to Find GCF of 1851/404, 2172/6960?

GCF of 1851/404, 2172/6960

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 1851/404, 2172/6960 i.e 3/702960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1851/404, 2172/6960.

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 1851/404,2172/6960?

Given fractions are 1851/404,2172/6960

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 1851/404,2172/6960, numerators are 1851,2172

Denominators are 404,6960

The GCF of 1851,2172 is 3 .

LCM of 404,6960 is 702960.

The greatest common factor of 1851/404,2172/6960 = [GCF of 1851,2172]/[LCM of 404,6960]= 3/702960

Therefore, the GCF of 1851/404,2172/6960 is 3/702960.

Greatest Common Factor of 1851,2172

To find the highest common factor of 1851,2172, we have to find the factors of both numbers and list the highest common factor.

The factors of 1851 are 1, 3, 617, 1851

The factors of 2172 are 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172

The HCF of 1851,2172 is 3.

Lets's calculate GCF of 1851,2172

Greatest Common Factor (GCF) of 1851,2172 By Common Division

3	1851, 2172
	617, 724

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1851,2172 By Matching Biggest Common Factor Method

Now, list down the factors of 1851

1,3,617,1851

Now, list down the factors of 2172

1,2,3,4,6,12,181,362,543,724,1086,2172

Greatest Common Factor

We found the factors 1851,2172 . The biggest common factor number is the GCF number.
So the greatest common factor 1851,2172 is 3.

Lets's calculate LCM of 404,6960

Lowest Common Multiple of 404,6960 using Common Division

2	404, 6960
2	202, 3480
	101, 1740

∴ So the LCM of the given numbers is 2 x 2 x 101 x 1740 = 702960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/702960

Therefore, the GCF of Fractions 1851/404,2172/6960 is 3/702960

Least Common Multiple of 404,6960 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 404,6960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,6960) = 4

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

GCF(404,6960) x common factors =4 x 1 = 4

LCM(404,6960) = ( 404 × 6960 ) / 4

LCM(404,6960) = 2811840 / 4

LCM(404,6960) = 702960

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FAQs on GCF of Fractions of 1851/404, 2172/6960

1. What is the HCF of 1851,2172?

The HCF of 1851,2172 is 3

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 1851/404, 2172/6960?

Answer: GCF of Numerators as per given numbers 1851/404, 2172/6960 is

GCF of Numerators i.e. for 1851,2172 is 3

LCM of denominators i.e. for 404,6960 is 702960.

Thus, GCF of Fractions is 3/702960.Finally, GCF of Fractions for 1851/404, 2172/6960 is 3/702960.