How to Find GCF of 429/27, 266/71, 974/91?

GCF of 429/27, 266/71, 974/91

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 429/27, 266/71, 974/91 i.e 1/174447 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/27, 266/71, 974/91.

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 429/27,266/71,974/91?

Given fractions are 429/27,266/71,974/91

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 429/27,266/71,974/91, numerators are 429,266,974

Denominators are 27,71,91

The GCF of 429,266,974 is 1 .

LCM of 27,71,91 is 174447.

The greatest common factor of 429/27,266/71,974/91 = [GCF of 429,266,974]/[LCM of 27,71,91]= 1/174447

Therefore, the GCF of 429/27,266/71,974/91 is 1/174447.

Greatest Common Factor of 429,266,974

To find the highest common factor of 429,266,974, we have to find the factors of both numbers and list the highest common factor.

The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429

The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266

The factors of 974 are 1, 2, 487, 974

The HCF of 429,266,974 is 1.

Lets's calculate GCF of 429,266,974

Greatest Common Factor (GCF) of 429,266,974 By Common Division

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

Greatest Common Factor of 429,266,974 By Matching Biggest Common Factor Method

Now, list down the factors of 429

1,3,11,13,33,39,143,429

Now, list down the factors of 266

1,2,7,14,19,38,133,266

Now, list down the factors of 974

1,2,487,974

Greatest Common Factor

We found the factors 429,266,974 . The biggest common factor number is the GCF number.
So the greatest common factor 429,266,974 is 1.

Lets's calculate LCM of 27,71,91

Lowest Common Multiple of 27,71,91 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 174447

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174447

Therefore, the GCF of Fractions 429/27,266/71,974/91 is 1/174447

Least Common Multiple of 27,71,91 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 27,71,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,71,91) = 1

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

GCF(27,71,91) x common factors =1 x 1 = 1

LCM(27,71,91) = ( 27 × 71 × 91 ) / 1

LCM(27,71,91) = 174447 / 1

LCM(27,71,91) = 174447

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FAQs on GCF of Fractions of 429/27, 266/71, 974/91

1. What is the HCF of 429,266,974?

The HCF of 429,266,974 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 429/27, 266/71, 974/91?

Answer: GCF of Numerators as per given numbers 429/27, 266/71, 974/91 is

GCF of Numerators i.e. for 429,266,974 is 1

LCM of denominators i.e. for 27,71,91 is 174447.

Thus, GCF of Fractions is 1/174447.Finally, GCF of Fractions for 429/27, 266/71, 974/91 is 1/174447.