How to Find GCF of 1816/534, 9832/2237?

GCF of 1816/534, 9832/2237

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 1816/534, 9832/2237 i.e 8/1194558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1816/534, 9832/2237.

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 1816/534,9832/2237?

Given fractions are 1816/534,9832/2237

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 1816/534,9832/2237, numerators are 1816,9832

Denominators are 534,2237

The GCF of 1816,9832 is 8 .

LCM of 534,2237 is 1194558.

The greatest common factor of 1816/534,9832/2237 = [GCF of 1816,9832]/[LCM of 534,2237]= 8/1194558

Therefore, the GCF of 1816/534,9832/2237 is 8/1194558.

Greatest Common Factor of 1816,9832

To find the highest common factor of 1816,9832, we have to find the factors of both numbers and list the highest common factor.

The factors of 1816 are 1, 2, 4, 8, 227, 454, 908, 1816

The factors of 9832 are 1, 2, 4, 8, 1229, 2458, 4916, 9832

The HCF of 1816,9832 is 8.

Lets's calculate GCF of 1816,9832

Greatest Common Factor (GCF) of 1816,9832 By Common Division

2	1816, 9832
2	908, 4916
2	454, 2458
	227, 1229

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

Greatest Common Factor of 1816,9832 By Matching Biggest Common Factor Method

Now, list down the factors of 1816

1,2,4,8,227,454,908,1816

Now, list down the factors of 9832

1,2,4,8,1229,2458,4916,9832

Greatest Common Factor

We found the factors 1816,9832 . The biggest common factor number is the GCF number.
So the greatest common factor 1816,9832 is 8.

Lets's calculate LCM of 534,2237

Lowest Common Multiple of 534,2237 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1194558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1194558

Therefore, the GCF of Fractions 1816/534,9832/2237 is 8/1194558

Least Common Multiple of 534,2237 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 534,2237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,2237) = 1

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

GCF(534,2237) x common factors =1 x 1 = 1

LCM(534,2237) = ( 534 × 2237 ) / 1

LCM(534,2237) = 1194558 / 1

LCM(534,2237) = 1194558

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FAQs on GCF of Fractions of 1816/534, 9832/2237

1. What is the HCF of 1816,9832?

The HCF of 1816,9832 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 1816/534, 9832/2237?

Answer: GCF of Numerators as per given numbers 1816/534, 9832/2237 is

GCF of Numerators i.e. for 1816,9832 is 8

LCM of denominators i.e. for 534,2237 is 1194558.

Thus, GCF of Fractions is 8/1194558.Finally, GCF of Fractions for 1816/534, 9832/2237 is 8/1194558.