How to Find GCF of 1864/732, 3024/827?

GCF of 1864/732, 3024/827

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 1864/732, 3024/827 i.e 8/605364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1864/732, 3024/827.

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 1864/732,3024/827?

Given fractions are 1864/732,3024/827

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 1864/732,3024/827, numerators are 1864,3024

Denominators are 732,827

The GCF of 1864,3024 is 8 .

LCM of 732,827 is 605364.

The greatest common factor of 1864/732,3024/827 = [GCF of 1864,3024]/[LCM of 732,827]= 8/605364

Therefore, the GCF of 1864/732,3024/827 is 8/605364.

Greatest Common Factor of 1864,3024

To find the highest common factor of 1864,3024, we have to find the factors of both numbers and list the highest common factor.

The factors of 1864 are 1, 2, 4, 8, 233, 466, 932, 1864

The factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024

The HCF of 1864,3024 is 8.

Lets's calculate GCF of 1864,3024

Greatest Common Factor (GCF) of 1864,3024 By Common Division

2	1864, 3024
2	932, 1512
2	466, 756
	233, 378

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

Greatest Common Factor of 1864,3024 By Matching Biggest Common Factor Method

Now, list down the factors of 1864

1,2,4,8,233,466,932,1864

Now, list down the factors of 3024

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,84,108,112,126,144,168,189,216,252,336,378,432,504,756,1008,1512,3024

Greatest Common Factor

We found the factors 1864,3024 . The biggest common factor number is the GCF number.
So the greatest common factor 1864,3024 is 8.

Lets's calculate LCM of 732,827

Lowest Common Multiple of 732,827 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 605364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/605364

Therefore, the GCF of Fractions 1864/732,3024/827 is 8/605364

Least Common Multiple of 732,827 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 732,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,827) = 1

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

GCF(732,827) x common factors =1 x 1 = 1

LCM(732,827) = ( 732 × 827 ) / 1

LCM(732,827) = 605364 / 1

LCM(732,827) = 605364

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FAQs on GCF of Fractions of 1864/732, 3024/827

1. What is the HCF of 1864,3024?

The HCF of 1864,3024 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 1864/732, 3024/827?

Answer: GCF of Numerators as per given numbers 1864/732, 3024/827 is

GCF of Numerators i.e. for 1864,3024 is 8

LCM of denominators i.e. for 732,827 is 605364.

Thus, GCF of Fractions is 8/605364.Finally, GCF of Fractions for 1864/732, 3024/827 is 8/605364.