How to Find GCF of 93/418, 28/837, 295/941?

GCF of 93/418, 28/837, 295/941

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 93/418, 28/837, 295/941 i.e 1/329223906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/418, 28/837, 295/941.

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 93/418,28/837,295/941?

Given fractions are 93/418,28/837,295/941

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 93/418,28/837,295/941, numerators are 93,28,295

Denominators are 418,837,941

The GCF of 93,28,295 is 1 .

LCM of 418,837,941 is 329223906.

The greatest common factor of 93/418,28/837,295/941 = [GCF of 93,28,295]/[LCM of 418,837,941]= 1/329223906

Therefore, the GCF of 93/418,28/837,295/941 is 1/329223906.

Greatest Common Factor of 93,28,295

To find the highest common factor of 93,28,295, we have to find the factors of both numbers and list the highest common factor.

The factors of 93 are 1, 3, 31, 93

The factors of 28 are 1, 2, 4, 7, 14, 28

The factors of 295 are 1, 5, 59, 295

The HCF of 93,28,295 is 1.

Lets's calculate GCF of 93,28,295

Greatest Common Factor (GCF) of 93,28,295 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 93,28,295 By Matching Biggest Common Factor Method

Now, list down the factors of 93

1,3,31,93

Now, list down the factors of 28

1,2,4,7,14,28

Now, list down the factors of 295

1,5,59,295

Greatest Common Factor

We found the factors 93,28,295 . The biggest common factor number is the GCF number.
So the greatest common factor 93,28,295 is 1.

Lets's calculate LCM of 418,837,941

Lowest Common Multiple of 418,837,941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 329223906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329223906

Therefore, the GCF of Fractions 93/418,28/837,295/941 is 1/329223906

Least Common Multiple of 418,837,941 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 418,837,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,837,941) = 1

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

GCF(418,837,941) x common factors =1 x 1 = 1

LCM(418,837,941) = ( 418 × 837 × 941 ) / 1

LCM(418,837,941) = 329223906 / 1

LCM(418,837,941) = 329223906

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FAQs on GCF of Fractions of 93/418, 28/837, 295/941

1. What is the HCF of 93,28,295?

The HCF of 93,28,295 is 1

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 93/418, 28/837, 295/941?

Answer: GCF of Numerators as per given numbers 93/418, 28/837, 295/941 is

GCF of Numerators i.e. for 93,28,295 is 1

LCM of denominators i.e. for 418,837,941 is 329223906.

Thus, GCF of Fractions is 1/329223906.Finally, GCF of Fractions for 93/418, 28/837, 295/941 is 1/329223906.