How to Find GCF of 44/402, 30/873, 370/941?

GCF of 44/402, 30/873, 370/941

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 44/402, 30/873, 370/941 i.e 2/110080062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/402, 30/873, 370/941.

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 44/402,30/873,370/941?

Given fractions are 44/402,30/873,370/941

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 44/402,30/873,370/941, numerators are 44,30,370

Denominators are 402,873,941

The GCF of 44,30,370 is 2 .

LCM of 402,873,941 is 110080062.

The greatest common factor of 44/402,30/873,370/941 = [GCF of 44,30,370]/[LCM of 402,873,941]= 2/110080062

Therefore, the GCF of 44/402,30/873,370/941 is 2/110080062.

Greatest Common Factor of 44,30,370

To find the highest common factor of 44,30,370, 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 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370

The HCF of 44,30,370 is 2.

Lets's calculate GCF of 44,30,370

Greatest Common Factor (GCF) of 44,30,370 By Common Division

2	44, 30, 370
	22, 15, 185

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

Greatest Common Factor of 44,30,370 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 30

1,2,3,5,6,10,15,30

Now, list down the factors of 370

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 44,30,370 . The biggest common factor number is the GCF number.
So the greatest common factor 44,30,370 is 2.

Lets's calculate LCM of 402,873,941

Lowest Common Multiple of 402,873,941 using Common Division

3	402, 873, 941
	134, 291, 941

∴ So the LCM of the given numbers is 3 x 134 x 291 x 941 = 110080062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/110080062

Therefore, the GCF of Fractions 44/402,30/873,370/941 is 2/110080062

Least Common Multiple of 402,873,941 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 402,873,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,873,941) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(402,873,941) x common factors =1 x 3 = 3

LCM(402,873,941) = ( 402 × 873 × 941 ) / 3

LCM(402,873,941) = 330240186 / 3

LCM(402,873,941) = 110080062

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 44/402, 30/873, 370/941

1. What is the HCF of 44,30,370?

The HCF of 44,30,370 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 44/402, 30/873, 370/941?

Answer: GCF of Numerators as per given numbers 44/402, 30/873, 370/941 is

GCF of Numerators i.e. for 44,30,370 is 2

LCM of denominators i.e. for 402,873,941 is 110080062.

Thus, GCF of Fractions is 2/110080062.Finally, GCF of Fractions for 44/402, 30/873, 370/941 is 2/110080062.