How to Find GCF of 1856/181, 2130/6854?

GCF of 1856/181, 2130/6854

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 1856/181, 2130/6854 i.e 2/1240574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1856/181, 2130/6854.

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 1856/181,2130/6854?

Given fractions are 1856/181,2130/6854

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 1856/181,2130/6854, numerators are 1856,2130

Denominators are 181,6854

The GCF of 1856,2130 is 2 .

LCM of 181,6854 is 1240574.

The greatest common factor of 1856/181,2130/6854 = [GCF of 1856,2130]/[LCM of 181,6854]= 2/1240574

Therefore, the GCF of 1856/181,2130/6854 is 2/1240574.

Greatest Common Factor of 1856,2130

To find the highest common factor of 1856,2130, we have to find the factors of both numbers and list the highest common factor.

The factors of 1856 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928, 1856

The factors of 2130 are 1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130

The HCF of 1856,2130 is 2.

Lets's calculate GCF of 1856,2130

Greatest Common Factor (GCF) of 1856,2130 By Common Division

2	1856, 2130
	928, 1065

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

Greatest Common Factor of 1856,2130 By Matching Biggest Common Factor Method

Now, list down the factors of 1856

1,2,4,8,16,29,32,58,64,116,232,464,928,1856

Now, list down the factors of 2130

1,2,3,5,6,10,15,30,71,142,213,355,426,710,1065,2130

Greatest Common Factor

We found the factors 1856,2130 . The biggest common factor number is the GCF number.
So the greatest common factor 1856,2130 is 2.

Lets's calculate LCM of 181,6854

Lowest Common Multiple of 181,6854 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1240574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1240574

Therefore, the GCF of Fractions 1856/181,2130/6854 is 2/1240574

Least Common Multiple of 181,6854 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 181,6854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,6854) = 1

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

GCF(181,6854) x common factors =1 x 1 = 1

LCM(181,6854) = ( 181 × 6854 ) / 1

LCM(181,6854) = 1240574 / 1

LCM(181,6854) = 1240574

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FAQs on GCF of Fractions of 1856/181, 2130/6854

1. What is the HCF of 1856,2130?

The HCF of 1856,2130 is 2

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 1856/181, 2130/6854?

Answer: GCF of Numerators as per given numbers 1856/181, 2130/6854 is

GCF of Numerators i.e. for 1856,2130 is 2

LCM of denominators i.e. for 181,6854 is 1240574.

Thus, GCF of Fractions is 2/1240574.Finally, GCF of Fractions for 1856/181, 2130/6854 is 2/1240574.