How to Find GCF of 44/976, 76/376, 814/472?

GCF of 44/976, 76/376, 814/472

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 44/976, 76/376, 814/472 i.e 2/2706448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/976, 76/376, 814/472.

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 44/976,76/376,814/472?

Given fractions are 44/976,76/376,814/472

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 44/976,76/376,814/472, numerators are 44,76,814

Denominators are 976,376,472

The GCF of 44,76,814 is 2 .

LCM of 976,376,472 is 2706448.

The greatest common factor of 44/976,76/376,814/472 = [GCF of 44,76,814]/[LCM of 976,376,472]= 2/2706448

Therefore, the GCF of 44/976,76/376,814/472 is 2/2706448.

Greatest Common Factor of 44,76,814

To find the highest common factor of 44,76,814, we have to find the factors of both numbers and list the highest common factor.

The factors of 44 are 1, 2, 4, 11, 22, 44

The factors of 76 are 1, 2, 4, 19, 38, 76

The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814

The HCF of 44,76,814 is 2.

Lets's calculate GCF of 44,76,814

Greatest Common Factor (GCF) of 44,76,814 By Common Division

2	44, 76, 814
	22, 38, 407

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

Greatest Common Factor of 44,76,814 By Matching Biggest Common Factor Method

Now, list down the factors of 44

1,2,4,11,22,44

Now, list down the factors of 76

1,2,4,19,38,76

Now, list down the factors of 814

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 44,76,814 . The biggest common factor number is the GCF number.
So the greatest common factor 44,76,814 is 2.

Lets's calculate LCM of 976,376,472

Lowest Common Multiple of 976,376,472 using Common Division

2	976, 376, 472
2	488, 188, 236
2	244, 94, 118
	122, 47, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 122 x 47 x 59 = 2706448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2706448

Therefore, the GCF of Fractions 44/976,76/376,814/472 is 2/2706448

Least Common Multiple of 976,376,472 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 976,376,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,376,472) = 8

common factors(in case of two or more numbers have common factors) = 8

GCF(976,376,472) x common factors =8 x 8 = 64

LCM(976,376,472) = ( 976 × 376 × 472 ) / 64

LCM(976,376,472) = 173212672 / 64

LCM(976,376,472) = 2706448

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 44/976, 76/376, 814/472

1. What is the HCF of 44,76,814?

The HCF of 44,76,814 is 2

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 44/976, 76/376, 814/472?

Answer: GCF of Numerators as per given numbers 44/976, 76/376, 814/472 is

GCF of Numerators i.e. for 44,76,814 is 2

LCM of denominators i.e. for 976,376,472 is 2706448.

Thus, GCF of Fractions is 2/2706448.Finally, GCF of Fractions for 44/976, 76/376, 814/472 is 2/2706448.