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GCF of 440/232, 404/880

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 440/232, 404/880 i.e 4/25520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/232, 404/880.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 440/232,404/880?

Given fractions are 440/232,404/880

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 440/232,404/880, numerators are 440,404

Denominators are 232,880

The GCF of 440,404 is 4 .

LCM of 232,880 is 25520.

The greatest common factor of 440/232,404/880 = [GCF of 440,404]/[LCM of 232,880]= 4/25520

Therefore, the GCF of 440/232,404/880 is 4/25520.

Greatest Common Factor of 440,404

To find the highest common factor of 440,404, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 404 are 1, 2, 4, 101, 202, 404

The HCF of 440,404 is 4.

Lets's calculate GCF of 440,404

Greatest Common Factor (GCF) of 440,404 By Common Division

2 440, 404
2 220, 202
110, 101

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

Greatest Common Factor of 440,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,404 By Matching Biggest Common Factor Method

Now, list down the factors of 440

:

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

Now, list down the factors of 404

:

1,2,4,101,202,404

Greatest Common Factor

We found the factors 440,404 . The biggest common factor number is the GCF number.
So the greatest common factor 440,404 is 4.

Lets's calculate LCM of 232,880

Lowest Common Multiple of 232,880 using Common Division

2 232, 880
2 116, 440
2 58, 220
29, 110

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 110 = 25520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/25520

Therefore, the GCF of Fractions 440/232,404/880 is 4/25520

Least Common Multiple of 232,880 with GCF Formula

Least Common Multiple of 232,880 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 232,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,880) = 8

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

GCF(232,880) x common factors =8 x 1 = 8

LCM(232,880) = ( 232 × 880 ) / 8

LCM(232,880) = 204160 / 8

LCM(232,880) = 25520


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FAQs on GCF of Fractions of 440/232, 404/880

1. What is the HCF of 440,404?

The HCF of 440,404 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 440/232, 404/880?

Answer: GCF of Numerators as per given numbers 440/232, 404/880 is

GCF of Numerators i.e. for 440,404 is 4

LCM of denominators i.e. for 232,880 is 25520.

Thus, GCF of Fractions is 4/25520.Finally, GCF of Fractions for 440/232, 404/880 is 4/25520.