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GCF of 440/841, 716/483

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 440/841, 716/483 i.e 4/406203 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/841, 716/483.

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 440/841,716/483?

Given fractions are 440/841,716/483

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 440/841,716/483, numerators are 440,716

Denominators are 841,483

The GCF of 440,716 is 4 .

LCM of 841,483 is 406203.

The greatest common factor of 440/841,716/483 = [GCF of 440,716]/[LCM of 841,483]= 4/406203

Therefore, the GCF of 440/841,716/483 is 4/406203.

Greatest Common Factor of 440,716

To find the highest common factor of 440,716, 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 716 are 1, 2, 4, 179, 358, 716

The HCF of 440,716 is 4.

Lets's calculate GCF of 440,716

Greatest Common Factor (GCF) of 440,716 By Common Division

2 440, 716
2 220, 358
110, 179

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

Greatest Common Factor of 440,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,716 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 716

:

1,2,4,179,358,716

Greatest Common Factor

We found the factors 440,716 . The biggest common factor number is the GCF number.
So the greatest common factor 440,716 is 4.

Lets's calculate LCM of 841,483

Lowest Common Multiple of 841,483 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 406203

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/406203

Therefore, the GCF of Fractions 440/841,716/483 is 4/406203

Least Common Multiple of 841,483 with GCF Formula

Least Common Multiple of 841,483 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 841,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(841,483) = 1

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

GCF(841,483) x common factors =1 x 1 = 1

LCM(841,483) = ( 841 × 483 ) / 1

LCM(841,483) = 406203 / 1

LCM(841,483) = 406203


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FAQs on GCF of Fractions of 440/841, 716/483

1. What is the HCF of 440,716?

The HCF of 440,716 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 440/841, 716/483?

Answer: GCF of Numerators as per given numbers 440/841, 716/483 is

GCF of Numerators i.e. for 440,716 is 4

LCM of denominators i.e. for 841,483 is 406203.

Thus, GCF of Fractions is 4/406203.Finally, GCF of Fractions for 440/841, 716/483 is 4/406203.