How to Find GCF of 457/585, 766/795, 234/262?

GCF of 457/585, 766/795, 234/262

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 457/585, 766/795, 234/262 i.e 1/8123310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/585, 766/795, 234/262.

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 457/585,766/795,234/262?

Given fractions are 457/585,766/795,234/262

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 457/585,766/795,234/262, numerators are 457,766,234

Denominators are 585,795,262

The GCF of 457,766,234 is 1 .

LCM of 585,795,262 is 8123310.

The greatest common factor of 457/585,766/795,234/262 = [GCF of 457,766,234]/[LCM of 585,795,262]= 1/8123310

Therefore, the GCF of 457/585,766/795,234/262 is 1/8123310.

Greatest Common Factor of 457,766,234

To find the highest common factor of 457,766,234, we have to find the factors of both numbers and list the highest common factor.

The factors of 457 are 1, 457

The factors of 766 are 1, 2, 383, 766

The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

The HCF of 457,766,234 is 1.

Lets's calculate GCF of 457,766,234

Greatest Common Factor (GCF) of 457,766,234 By Common Division

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

Greatest Common Factor of 457,766,234 By Matching Biggest Common Factor Method

Now, list down the factors of 457

1,457

Now, list down the factors of 766

1,2,383,766

Now, list down the factors of 234

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 457,766,234 . The biggest common factor number is the GCF number.
So the greatest common factor 457,766,234 is 1.

Lets's calculate LCM of 585,795,262

Lowest Common Multiple of 585,795,262 using Common Division

3	585, 795, 262
5	195, 265, 262
	39, 53, 262

∴ So the LCM of the given numbers is 3 x 5 x 39 x 53 x 262 = 8123310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8123310

Therefore, the GCF of Fractions 457/585,766/795,234/262 is 1/8123310

Least Common Multiple of 585,795,262 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 585,795,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,795,262) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(585,795,262) x common factors =1 x 15 = 15

LCM(585,795,262) = ( 585 × 795 × 262 ) / 15

LCM(585,795,262) = 121849650 / 15

LCM(585,795,262) = 8123310

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 457/585, 766/795, 234/262

1. What is the HCF of 457,766,234?

The HCF of 457,766,234 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 457/585, 766/795, 234/262?

Answer: GCF of Numerators as per given numbers 457/585, 766/795, 234/262 is

GCF of Numerators i.e. for 457,766,234 is 1

LCM of denominators i.e. for 585,795,262 is 8123310.

Thus, GCF of Fractions is 1/8123310.Finally, GCF of Fractions for 457/585, 766/795, 234/262 is 1/8123310.