How to Find GCF of 71/211, 274/147, 279/385?

GCF of 71/211, 274/147, 279/385

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 71/211, 274/147, 279/385 i.e 1/1705935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/211, 274/147, 279/385.

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 71/211,274/147,279/385?

Given fractions are 71/211,274/147,279/385

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 71/211,274/147,279/385, numerators are 71,274,279

Denominators are 211,147,385

The GCF of 71,274,279 is 1 .

LCM of 211,147,385 is 1705935.

The greatest common factor of 71/211,274/147,279/385 = [GCF of 71,274,279]/[LCM of 211,147,385]= 1/1705935

Therefore, the GCF of 71/211,274/147,279/385 is 1/1705935.

Greatest Common Factor of 71,274,279

To find the highest common factor of 71,274,279, we have to find the factors of both numbers and list the highest common factor.

The factors of 71 are 1, 71

The factors of 274 are 1, 2, 137, 274

The factors of 279 are 1, 3, 9, 31, 93, 279

The HCF of 71,274,279 is 1.

Lets's calculate GCF of 71,274,279

Greatest Common Factor (GCF) of 71,274,279 By Common Division

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

Greatest Common Factor of 71,274,279 By Matching Biggest Common Factor Method

Now, list down the factors of 71

1,71

Now, list down the factors of 274

1,2,137,274

Now, list down the factors of 279

1,3,9,31,93,279

Greatest Common Factor

We found the factors 71,274,279 . The biggest common factor number is the GCF number.
So the greatest common factor 71,274,279 is 1.

Lets's calculate LCM of 211,147,385

Lowest Common Multiple of 211,147,385 using Common Division

7	211, 147, 385
	211, 21, 55

∴ So the LCM of the given numbers is 7 x 211 x 21 x 55 = 1705935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1705935

Therefore, the GCF of Fractions 71/211,274/147,279/385 is 1/1705935

Least Common Multiple of 211,147,385 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 211,147,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,147,385) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(211,147,385) x common factors =1 x 7 = 7

LCM(211,147,385) = ( 211 × 147 × 385 ) / 7

LCM(211,147,385) = 11941545 / 7

LCM(211,147,385) = 1705935

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FAQs on GCF of Fractions of 71/211, 274/147, 279/385

1. What is the HCF of 71,274,279?

The HCF of 71,274,279 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 71/211, 274/147, 279/385?

Answer: GCF of Numerators as per given numbers 71/211, 274/147, 279/385 is

GCF of Numerators i.e. for 71,274,279 is 1

LCM of denominators i.e. for 211,147,385 is 1705935.

Thus, GCF of Fractions is 1/1705935.Finally, GCF of Fractions for 71/211, 274/147, 279/385 is 1/1705935.