How to Find GCF of 418/621, 151/922, 276/590?

GCF of 418/621, 151/922, 276/590

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 418/621, 151/922, 276/590 i.e 1/168905790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 418/621, 151/922, 276/590.

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 418/621,151/922,276/590?

Given fractions are 418/621,151/922,276/590

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 418/621,151/922,276/590, numerators are 418,151,276

Denominators are 621,922,590

The GCF of 418,151,276 is 1 .

LCM of 621,922,590 is 168905790.

The greatest common factor of 418/621,151/922,276/590 = [GCF of 418,151,276]/[LCM of 621,922,590]= 1/168905790

Therefore, the GCF of 418/621,151/922,276/590 is 1/168905790.

Greatest Common Factor of 418,151,276

To find the highest common factor of 418,151,276, we have to find the factors of both numbers and list the highest common factor.

The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418

The factors of 151 are 1, 151

The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

The HCF of 418,151,276 is 1.

Lets's calculate GCF of 418,151,276

Greatest Common Factor (GCF) of 418,151,276 By Common Division

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

Greatest Common Factor of 418,151,276 By Matching Biggest Common Factor Method

Now, list down the factors of 418

1,2,11,19,22,38,209,418

Now, list down the factors of 151

1,151

Now, list down the factors of 276

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 418,151,276 . The biggest common factor number is the GCF number.
So the greatest common factor 418,151,276 is 1.

Lets's calculate LCM of 621,922,590

Lowest Common Multiple of 621,922,590 using Common Division

2	621, 922, 590
	621, 461, 295

∴ So the LCM of the given numbers is 2 x 621 x 461 x 295 = 168905790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168905790

Therefore, the GCF of Fractions 418/621,151/922,276/590 is 1/168905790

Least Common Multiple of 621,922,590 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 621,922,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,922,590) = 1

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

GCF(621,922,590) x common factors =1 x 2 = 2

LCM(621,922,590) = ( 621 × 922 × 590 ) / 2

LCM(621,922,590) = 337811580 / 2

LCM(621,922,590) = 168905790

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 418/621, 151/922, 276/590

1. What is the HCF of 418,151,276?

The HCF of 418,151,276 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 418/621, 151/922, 276/590?

Answer: GCF of Numerators as per given numbers 418/621, 151/922, 276/590 is

GCF of Numerators i.e. for 418,151,276 is 1

LCM of denominators i.e. for 621,922,590 is 168905790.

Thus, GCF of Fractions is 1/168905790.Finally, GCF of Fractions for 418/621, 151/922, 276/590 is 1/168905790.