How to Find GCF of 35/87, 38/97, 229/417?

GCF of 35/87, 38/97, 229/417

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 35/87, 38/97, 229/417 i.e 1/1173021 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/87, 38/97, 229/417.

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 35/87,38/97,229/417?

Given fractions are 35/87,38/97,229/417

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 35/87,38/97,229/417, numerators are 35,38,229

Denominators are 87,97,417

The GCF of 35,38,229 is 1 .

LCM of 87,97,417 is 1173021.

The greatest common factor of 35/87,38/97,229/417 = [GCF of 35,38,229]/[LCM of 87,97,417]= 1/1173021

Therefore, the GCF of 35/87,38/97,229/417 is 1/1173021.

Greatest Common Factor of 35,38,229

To find the highest common factor of 35,38,229, we have to find the factors of both numbers and list the highest common factor.

The factors of 35 are 1, 5, 7, 35

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

The factors of 229 are 1, 229

The HCF of 35,38,229 is 1.

Lets's calculate GCF of 35,38,229

Greatest Common Factor (GCF) of 35,38,229 By Common Division

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

Greatest Common Factor of 35,38,229 By Matching Biggest Common Factor Method

Now, list down the factors of 35

1,5,7,35

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 229

1,229

Greatest Common Factor

We found the factors 35,38,229 . The biggest common factor number is the GCF number.
So the greatest common factor 35,38,229 is 1.

Lets's calculate LCM of 87,97,417

Lowest Common Multiple of 87,97,417 using Common Division

3	87, 97, 417
	29, 97, 139

∴ So the LCM of the given numbers is 3 x 29 x 97 x 139 = 1173021

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1173021

Therefore, the GCF of Fractions 35/87,38/97,229/417 is 1/1173021

Least Common Multiple of 87,97,417 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 87,97,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,97,417) = 1

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

GCF(87,97,417) x common factors =1 x 3 = 3

LCM(87,97,417) = ( 87 × 97 × 417 ) / 3

LCM(87,97,417) = 3519063 / 3

LCM(87,97,417) = 1173021

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FAQs on GCF of Fractions of 35/87, 38/97, 229/417

1. What is the HCF of 35,38,229?

The HCF of 35,38,229 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 35/87, 38/97, 229/417?

Answer: GCF of Numerators as per given numbers 35/87, 38/97, 229/417 is

GCF of Numerators i.e. for 35,38,229 is 1

LCM of denominators i.e. for 87,97,417 is 1173021.

Thus, GCF of Fractions is 1/1173021.Finally, GCF of Fractions for 35/87, 38/97, 229/417 is 1/1173021.