How to Find GCF of 35/399, 79/461, 230/127?

GCF of 35/399, 79/461, 230/127

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 35/399, 79/461, 230/127 i.e 1/23360253 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/399, 79/461, 230/127.

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 35/399,79/461,230/127?

Given fractions are 35/399,79/461,230/127

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 35/399,79/461,230/127, numerators are 35,79,230

Denominators are 399,461,127

The GCF of 35,79,230 is 1 .

LCM of 399,461,127 is 23360253.

The greatest common factor of 35/399,79/461,230/127 = [GCF of 35,79,230]/[LCM of 399,461,127]= 1/23360253

Therefore, the GCF of 35/399,79/461,230/127 is 1/23360253.

Greatest Common Factor of 35,79,230

To find the highest common factor of 35,79,230, 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 79 are 1, 79

The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230

The HCF of 35,79,230 is 1.

Lets's calculate GCF of 35,79,230

Greatest Common Factor (GCF) of 35,79,230 By Common Division

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

Greatest Common Factor of 35,79,230 By Matching Biggest Common Factor Method

Now, list down the factors of 35

1,5,7,35

Now, list down the factors of 79

1,79

Now, list down the factors of 230

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 35,79,230 . The biggest common factor number is the GCF number.
So the greatest common factor 35,79,230 is 1.

Lets's calculate LCM of 399,461,127

Lowest Common Multiple of 399,461,127 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23360253

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23360253

Therefore, the GCF of Fractions 35/399,79/461,230/127 is 1/23360253

Least Common Multiple of 399,461,127 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 399,461,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,461,127) = 1

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

GCF(399,461,127) x common factors =1 x 1 = 1

LCM(399,461,127) = ( 399 × 461 × 127 ) / 1

LCM(399,461,127) = 23360253 / 1

LCM(399,461,127) = 23360253

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FAQs on GCF of Fractions of 35/399, 79/461, 230/127

1. What is the HCF of 35,79,230?

The HCF of 35,79,230 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 35/399, 79/461, 230/127?

Answer: GCF of Numerators as per given numbers 35/399, 79/461, 230/127 is

GCF of Numerators i.e. for 35,79,230 is 1

LCM of denominators i.e. for 399,461,127 is 23360253.

Thus, GCF of Fractions is 1/23360253.Finally, GCF of Fractions for 35/399, 79/461, 230/127 is 1/23360253.