How to Find GCF of 61/230, 757/262, 329/687?

GCF of 61/230, 757/262, 329/687

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 61/230, 757/262, 329/687 i.e 1/20699310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/230, 757/262, 329/687.

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 61/230,757/262,329/687?

Given fractions are 61/230,757/262,329/687

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 61/230,757/262,329/687, numerators are 61,757,329

Denominators are 230,262,687

The GCF of 61,757,329 is 1 .

LCM of 230,262,687 is 20699310.

The greatest common factor of 61/230,757/262,329/687 = [GCF of 61,757,329]/[LCM of 230,262,687]= 1/20699310

Therefore, the GCF of 61/230,757/262,329/687 is 1/20699310.

Greatest Common Factor of 61,757,329

To find the highest common factor of 61,757,329, we have to find the factors of both numbers and list the highest common factor.

The factors of 61 are 1, 61

The factors of 757 are 1, 757

The factors of 329 are 1, 7, 47, 329

The HCF of 61,757,329 is 1.

Lets's calculate GCF of 61,757,329

Greatest Common Factor (GCF) of 61,757,329 By Common Division

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

Greatest Common Factor of 61,757,329 By Matching Biggest Common Factor Method

Now, list down the factors of 61

1,61

Now, list down the factors of 757

1,757

Now, list down the factors of 329

1,7,47,329

Greatest Common Factor

We found the factors 61,757,329 . The biggest common factor number is the GCF number.
So the greatest common factor 61,757,329 is 1.

Lets's calculate LCM of 230,262,687

Lowest Common Multiple of 230,262,687 using Common Division

2	230, 262, 687
	115, 131, 687

∴ So the LCM of the given numbers is 2 x 115 x 131 x 687 = 20699310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20699310

Therefore, the GCF of Fractions 61/230,757/262,329/687 is 1/20699310

Least Common Multiple of 230,262,687 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 230,262,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,262,687) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(230,262,687) x common factors =1 x 2 = 2

LCM(230,262,687) = ( 230 × 262 × 687 ) / 2

LCM(230,262,687) = 41398620 / 2

LCM(230,262,687) = 20699310

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FAQs on GCF of Fractions of 61/230, 757/262, 329/687

1. What is the HCF of 61,757,329?

The HCF of 61,757,329 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 61/230, 757/262, 329/687?

Answer: GCF of Numerators as per given numbers 61/230, 757/262, 329/687 is

GCF of Numerators i.e. for 61,757,329 is 1

LCM of denominators i.e. for 230,262,687 is 20699310.

Thus, GCF of Fractions is 1/20699310.Finally, GCF of Fractions for 61/230, 757/262, 329/687 is 1/20699310.