How to Find GCF of 942/219, 269/762, 465/406?

GCF of 942/219, 269/762, 465/406

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 942/219, 269/762, 465/406 i.e 1/11292078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 942/219, 269/762, 465/406.

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 942/219,269/762,465/406?

Given fractions are 942/219,269/762,465/406

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 942/219,269/762,465/406, numerators are 942,269,465

Denominators are 219,762,406

The GCF of 942,269,465 is 1 .

LCM of 219,762,406 is 11292078.

The greatest common factor of 942/219,269/762,465/406 = [GCF of 942,269,465]/[LCM of 219,762,406]= 1/11292078

Therefore, the GCF of 942/219,269/762,465/406 is 1/11292078.

Greatest Common Factor of 942,269,465

To find the highest common factor of 942,269,465, we have to find the factors of both numbers and list the highest common factor.

The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942

The factors of 269 are 1, 269

The factors of 465 are 1, 3, 5, 15, 31, 93, 155, 465

The HCF of 942,269,465 is 1.

Lets's calculate GCF of 942,269,465

Greatest Common Factor (GCF) of 942,269,465 By Common Division

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

Greatest Common Factor of 942,269,465 By Matching Biggest Common Factor Method

Now, list down the factors of 942

1,2,3,6,157,314,471,942

Now, list down the factors of 269

1,269

Now, list down the factors of 465

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 942,269,465 . The biggest common factor number is the GCF number.
So the greatest common factor 942,269,465 is 1.

Lets's calculate LCM of 219,762,406

Lowest Common Multiple of 219,762,406 using Common Division

2	219, 762, 406
3	219, 381, 203
	73, 127, 203

∴ So the LCM of the given numbers is 2 x 3 x 73 x 127 x 203 = 11292078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11292078

Therefore, the GCF of Fractions 942/219,269/762,465/406 is 1/11292078

Least Common Multiple of 219,762,406 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 219,762,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,762,406) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(219,762,406) x common factors =1 x 6 = 6

LCM(219,762,406) = ( 219 × 762 × 406 ) / 6

LCM(219,762,406) = 67752468 / 6

LCM(219,762,406) = 11292078

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 942/219, 269/762, 465/406

1. What is the HCF of 942,269,465?

The HCF of 942,269,465 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 942/219, 269/762, 465/406?

Answer: GCF of Numerators as per given numbers 942/219, 269/762, 465/406 is

GCF of Numerators i.e. for 942,269,465 is 1

LCM of denominators i.e. for 219,762,406 is 11292078.

Thus, GCF of Fractions is 1/11292078.Finally, GCF of Fractions for 942/219, 269/762, 465/406 is 1/11292078.