How to Find GCF of 880/404, 1476/1112?

GCF of 880/404, 1476/1112

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 880/404, 1476/1112 i.e 4/112312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/404, 1476/1112.

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 880/404,1476/1112?

Given fractions are 880/404,1476/1112

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 880/404,1476/1112, numerators are 880,1476

Denominators are 404,1112

The GCF of 880,1476 is 4 .

LCM of 404,1112 is 112312.

The greatest common factor of 880/404,1476/1112 = [GCF of 880,1476]/[LCM of 404,1112]= 4/112312

Therefore, the GCF of 880/404,1476/1112 is 4/112312.

Greatest Common Factor of 880,1476

To find the highest common factor of 880,1476, we have to find the factors of both numbers and list the highest common factor.

The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

The factors of 1476 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476

The HCF of 880,1476 is 4.

Lets's calculate GCF of 880,1476

Greatest Common Factor (GCF) of 880,1476 By Common Division

2	880, 1476
2	440, 738
	220, 369

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 880,1476 By Matching Biggest Common Factor Method

Now, list down the factors of 880

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Now, list down the factors of 1476

1,2,3,4,6,9,12,18,36,41,82,123,164,246,369,492,738,1476

Greatest Common Factor

We found the factors 880,1476 . The biggest common factor number is the GCF number.
So the greatest common factor 880,1476 is 4.

Lets's calculate LCM of 404,1112

Lowest Common Multiple of 404,1112 using Common Division

2	404, 1112
2	202, 556
	101, 278

∴ So the LCM of the given numbers is 2 x 2 x 101 x 278 = 112312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/112312

Therefore, the GCF of Fractions 880/404,1476/1112 is 4/112312

Least Common Multiple of 404,1112 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 404,1112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,1112) = 4

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

GCF(404,1112) x common factors =4 x 1 = 4

LCM(404,1112) = ( 404 × 1112 ) / 4

LCM(404,1112) = 449248 / 4

LCM(404,1112) = 112312

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FAQs on GCF of Fractions of 880/404, 1476/1112

1. What is the HCF of 880,1476?

The HCF of 880,1476 is 4

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 880/404, 1476/1112?

Answer: GCF of Numerators as per given numbers 880/404, 1476/1112 is

GCF of Numerators i.e. for 880,1476 is 4

LCM of denominators i.e. for 404,1112 is 112312.

Thus, GCF of Fractions is 4/112312.Finally, GCF of Fractions for 880/404, 1476/1112 is 4/112312.