How to Find GCF of 46/25, 422/63, 354/454?

GCF of 46/25, 422/63, 354/454

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 46/25, 422/63, 354/454 i.e 2/715050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/25, 422/63, 354/454.

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 46/25,422/63,354/454?

Given fractions are 46/25,422/63,354/454

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 46/25,422/63,354/454, numerators are 46,422,354

Denominators are 25,63,454

The GCF of 46,422,354 is 2 .

LCM of 25,63,454 is 715050.

The greatest common factor of 46/25,422/63,354/454 = [GCF of 46,422,354]/[LCM of 25,63,454]= 2/715050

Therefore, the GCF of 46/25,422/63,354/454 is 2/715050.

Greatest Common Factor of 46,422,354

To find the highest common factor of 46,422,354, we have to find the factors of both numbers and list the highest common factor.

The factors of 46 are 1, 2, 23, 46

The factors of 422 are 1, 2, 211, 422

The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354

The HCF of 46,422,354 is 2.

Lets's calculate GCF of 46,422,354

Greatest Common Factor (GCF) of 46,422,354 By Common Division

2	46, 422, 354
	23, 211, 177

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 46,422,354 By Matching Biggest Common Factor Method

Now, list down the factors of 46

1,2,23,46

Now, list down the factors of 422

1,2,211,422

Now, list down the factors of 354

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 46,422,354 . The biggest common factor number is the GCF number.
So the greatest common factor 46,422,354 is 2.

Lets's calculate LCM of 25,63,454

Lowest Common Multiple of 25,63,454 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 715050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/715050

Therefore, the GCF of Fractions 46/25,422/63,354/454 is 2/715050

Least Common Multiple of 25,63,454 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 25,63,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,63,454) = 1

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

GCF(25,63,454) x common factors =1 x 1 = 1

LCM(25,63,454) = ( 25 × 63 × 454 ) / 1

LCM(25,63,454) = 715050 / 1

LCM(25,63,454) = 715050

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FAQs on GCF of Fractions of 46/25, 422/63, 354/454

1. What is the HCF of 46,422,354?

The HCF of 46,422,354 is 2

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 46/25, 422/63, 354/454?

Answer: GCF of Numerators as per given numbers 46/25, 422/63, 354/454 is

GCF of Numerators i.e. for 46,422,354 is 2

LCM of denominators i.e. for 25,63,454 is 715050.

Thus, GCF of Fractions is 2/715050.Finally, GCF of Fractions for 46/25, 422/63, 354/454 is 2/715050.