How to Find GCF of 1840/288, 4456/1939?

GCF of 1840/288, 4456/1939

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 1840/288, 4456/1939 i.e 8/558432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1840/288, 4456/1939.

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 1840/288,4456/1939?

Given fractions are 1840/288,4456/1939

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 1840/288,4456/1939, numerators are 1840,4456

Denominators are 288,1939

The GCF of 1840,4456 is 8 .

LCM of 288,1939 is 558432.

The greatest common factor of 1840/288,4456/1939 = [GCF of 1840,4456]/[LCM of 288,1939]= 8/558432

Therefore, the GCF of 1840/288,4456/1939 is 8/558432.

Greatest Common Factor of 1840,4456

To find the highest common factor of 1840,4456, we have to find the factors of both numbers and list the highest common factor.

The factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840

The factors of 4456 are 1, 2, 4, 8, 557, 1114, 2228, 4456

The HCF of 1840,4456 is 8.

Lets's calculate GCF of 1840,4456

Greatest Common Factor (GCF) of 1840,4456 By Common Division

2	1840, 4456
2	920, 2228
2	460, 1114
	230, 557

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1840,4456 By Matching Biggest Common Factor Method

Now, list down the factors of 1840

1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840

Now, list down the factors of 4456

1,2,4,8,557,1114,2228,4456

Greatest Common Factor

We found the factors 1840,4456 . The biggest common factor number is the GCF number.
So the greatest common factor 1840,4456 is 8.

Lets's calculate LCM of 288,1939

Lowest Common Multiple of 288,1939 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 558432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/558432

Therefore, the GCF of Fractions 1840/288,4456/1939 is 8/558432

Least Common Multiple of 288,1939 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 288,1939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,1939) = 1

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

GCF(288,1939) x common factors =1 x 1 = 1

LCM(288,1939) = ( 288 × 1939 ) / 1

LCM(288,1939) = 558432 / 1

LCM(288,1939) = 558432

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FAQs on GCF of Fractions of 1840/288, 4456/1939

1. What is the HCF of 1840,4456?

The HCF of 1840,4456 is 8

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 1840/288, 4456/1939?

Answer: GCF of Numerators as per given numbers 1840/288, 4456/1939 is

GCF of Numerators i.e. for 1840,4456 is 8

LCM of denominators i.e. for 288,1939 is 558432.

Thus, GCF of Fractions is 8/558432.Finally, GCF of Fractions for 1840/288, 4456/1939 is 8/558432.