How to Find GCF of 149/83, 677/91, 839/71?

GCF of 149/83, 677/91, 839/71

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 149/83, 677/91, 839/71 i.e 1/536263 easily. The following is the detailed procedure to determine the greatest common factor of fractions 149/83, 677/91, 839/71.

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 149/83,677/91,839/71?

Given fractions are 149/83,677/91,839/71

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 149/83,677/91,839/71, numerators are 149,677,839

Denominators are 83,91,71

The GCF of 149,677,839 is 1 .

LCM of 83,91,71 is 536263.

The greatest common factor of 149/83,677/91,839/71 = [GCF of 149,677,839]/[LCM of 83,91,71]= 1/536263

Therefore, the GCF of 149/83,677/91,839/71 is 1/536263.

Greatest Common Factor of 149,677,839

To find the highest common factor of 149,677,839, we have to find the factors of both numbers and list the highest common factor.

The factors of 149 are 1, 149

The factors of 677 are 1, 677

The factors of 839 are 1, 839

The HCF of 149,677,839 is 1.

Lets's calculate GCF of 149,677,839

Greatest Common Factor (GCF) of 149,677,839 By Common Division

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

Greatest Common Factor of 149,677,839 By Matching Biggest Common Factor Method

Now, list down the factors of 149

1,149

Now, list down the factors of 677

1,677

Now, list down the factors of 839

1,839

Greatest Common Factor

We found the factors 149,677,839 . The biggest common factor number is the GCF number.
So the greatest common factor 149,677,839 is 1.

Lets's calculate LCM of 83,91,71

Lowest Common Multiple of 83,91,71 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 536263

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/536263

Therefore, the GCF of Fractions 149/83,677/91,839/71 is 1/536263

Least Common Multiple of 83,91,71 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 83,91,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,91,71) = 1

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

GCF(83,91,71) x common factors =1 x 1 = 1

LCM(83,91,71) = ( 83 × 91 × 71 ) / 1

LCM(83,91,71) = 536263 / 1

LCM(83,91,71) = 536263

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FAQs on GCF of Fractions of 149/83, 677/91, 839/71

1. What is the HCF of 149,677,839?

The HCF of 149,677,839 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 149/83, 677/91, 839/71?

Answer: GCF of Numerators as per given numbers 149/83, 677/91, 839/71 is

GCF of Numerators i.e. for 149,677,839 is 1

LCM of denominators i.e. for 83,91,71 is 536263.

Thus, GCF of Fractions is 1/536263.Finally, GCF of Fractions for 149/83, 677/91, 839/71 is 1/536263.