How to Find GCF of 27/45, 46/974, 914/254?

GCF of 27/45, 46/974, 914/254

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 27/45, 46/974, 914/254 i.e 1/5566410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/45, 46/974, 914/254.

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 27/45,46/974,914/254?

Given fractions are 27/45,46/974,914/254

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 27/45,46/974,914/254, numerators are 27,46,914

Denominators are 45,974,254

The GCF of 27,46,914 is 1 .

LCM of 45,974,254 is 5566410.

The greatest common factor of 27/45,46/974,914/254 = [GCF of 27,46,914]/[LCM of 45,974,254]= 1/5566410

Therefore, the GCF of 27/45,46/974,914/254 is 1/5566410.

Greatest Common Factor of 27,46,914

To find the highest common factor of 27,46,914, we have to find the factors of both numbers and list the highest common factor.

The factors of 27 are 1, 3, 9, 27

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

The factors of 914 are 1, 2, 457, 914

The HCF of 27,46,914 is 1.

Lets's calculate GCF of 27,46,914

Greatest Common Factor (GCF) of 27,46,914 By Common Division

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

Greatest Common Factor of 27,46,914 By Matching Biggest Common Factor Method

Now, list down the factors of 27

1,3,9,27

Now, list down the factors of 46

1,2,23,46

Now, list down the factors of 914

1,2,457,914

Greatest Common Factor

We found the factors 27,46,914 . The biggest common factor number is the GCF number.
So the greatest common factor 27,46,914 is 1.

Lets's calculate LCM of 45,974,254

Lowest Common Multiple of 45,974,254 using Common Division

2	45, 974, 254
	45, 487, 127

∴ So the LCM of the given numbers is 2 x 45 x 487 x 127 = 5566410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5566410

Therefore, the GCF of Fractions 27/45,46/974,914/254 is 1/5566410

Least Common Multiple of 45,974,254 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 45,974,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,974,254) = 1

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

GCF(45,974,254) x common factors =1 x 2 = 2

LCM(45,974,254) = ( 45 × 974 × 254 ) / 2

LCM(45,974,254) = 11132820 / 2

LCM(45,974,254) = 5566410

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 27/45, 46/974, 914/254

1. What is the HCF of 27,46,914?

The HCF of 27,46,914 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 27/45, 46/974, 914/254?

Answer: GCF of Numerators as per given numbers 27/45, 46/974, 914/254 is

GCF of Numerators i.e. for 27,46,914 is 1

LCM of denominators i.e. for 45,974,254 is 5566410.

Thus, GCF of Fractions is 1/5566410.Finally, GCF of Fractions for 27/45, 46/974, 914/254 is 1/5566410.