How to Find GCF of 2264/178, 4040/718?

GCF of 2264/178, 4040/718

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 2264/178, 4040/718 i.e 8/63902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2264/178, 4040/718.

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 2264/178,4040/718?

Given fractions are 2264/178,4040/718

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 2264/178,4040/718, numerators are 2264,4040

Denominators are 178,718

The GCF of 2264,4040 is 8 .

LCM of 178,718 is 63902.

The greatest common factor of 2264/178,4040/718 = [GCF of 2264,4040]/[LCM of 178,718]= 8/63902

Therefore, the GCF of 2264/178,4040/718 is 8/63902.

Greatest Common Factor of 2264,4040

To find the highest common factor of 2264,4040, we have to find the factors of both numbers and list the highest common factor.

The factors of 2264 are 1, 2, 4, 8, 283, 566, 1132, 2264

The factors of 4040 are 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040

The HCF of 2264,4040 is 8.

Lets's calculate GCF of 2264,4040

Greatest Common Factor (GCF) of 2264,4040 By Common Division

2	2264, 4040
2	1132, 2020
2	566, 1010
	283, 505

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

Greatest Common Factor of 2264,4040 By Matching Biggest Common Factor Method

Now, list down the factors of 2264

1,2,4,8,283,566,1132,2264

Now, list down the factors of 4040

1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040

Greatest Common Factor

We found the factors 2264,4040 . The biggest common factor number is the GCF number.
So the greatest common factor 2264,4040 is 8.

Lets's calculate LCM of 178,718

Lowest Common Multiple of 178,718 using Common Division

2	178, 718
	89, 359

∴ So the LCM of the given numbers is 2 x 89 x 359 = 63902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/63902

Therefore, the GCF of Fractions 2264/178,4040/718 is 8/63902

Least Common Multiple of 178,718 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 178,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,718) = 2

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

GCF(178,718) x common factors =2 x 1 = 2

LCM(178,718) = ( 178 × 718 ) / 2

LCM(178,718) = 127804 / 2

LCM(178,718) = 63902

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2264/178, 4040/718

1. What is the HCF of 2264,4040?

The HCF of 2264,4040 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 2264/178, 4040/718?

Answer: GCF of Numerators as per given numbers 2264/178, 4040/718 is

GCF of Numerators i.e. for 2264,4040 is 8

LCM of denominators i.e. for 178,718 is 63902.

Thus, GCF of Fractions is 8/63902.Finally, GCF of Fractions for 2264/178, 4040/718 is 8/63902.