How to Find GCF of 880/438, 224/416?

GCF of 880/438, 224/416

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 880/438, 224/416 i.e 16/91104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/438, 224/416.

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 880/438,224/416?

Given fractions are 880/438,224/416

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 880/438,224/416, numerators are 880,224

Denominators are 438,416

The GCF of 880,224 is 16 .

LCM of 438,416 is 91104.

The greatest common factor of 880/438,224/416 = [GCF of 880,224]/[LCM of 438,416]= 16/91104

Therefore, the GCF of 880/438,224/416 is 16/91104.

Greatest Common Factor of 880,224

To find the highest common factor of 880,224, 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 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

The HCF of 880,224 is 16.

Lets's calculate GCF of 880,224

Greatest Common Factor (GCF) of 880,224 By Common Division

2	880, 224
2	440, 112
2	220, 56
2	110, 28
	55, 14

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 880,224 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 224

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 880,224 . The biggest common factor number is the GCF number.
So the greatest common factor 880,224 is 16.

Lets's calculate LCM of 438,416

Lowest Common Multiple of 438,416 using Common Division

2	438, 416
	219, 208

∴ So the LCM of the given numbers is 2 x 219 x 208 = 91104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/91104

Therefore, the GCF of Fractions 880/438,224/416 is 16/91104

Least Common Multiple of 438,416 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 438,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,416) = 2

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

GCF(438,416) x common factors =2 x 1 = 2

LCM(438,416) = ( 438 × 416 ) / 2

LCM(438,416) = 182208 / 2

LCM(438,416) = 91104

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FAQs on GCF of Fractions of 880/438, 224/416

1. What is the HCF of 880,224?

The HCF of 880,224 is 16

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 880/438, 224/416?

Answer: GCF of Numerators as per given numbers 880/438, 224/416 is

GCF of Numerators i.e. for 880,224 is 16

LCM of denominators i.e. for 438,416 is 91104.

Thus, GCF of Fractions is 16/91104.Finally, GCF of Fractions for 880/438, 224/416 is 16/91104.