How to Find GCF of 418/533, 149/650?

GCF of 418/533, 149/650

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 418/533, 149/650 i.e 1/26650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 418/533, 149/650.

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 418/533,149/650?

Given fractions are 418/533,149/650

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 418/533,149/650, numerators are 418,149

Denominators are 533,650

The GCF of 418,149 is 1 .

LCM of 533,650 is 26650.

The greatest common factor of 418/533,149/650 = [GCF of 418,149]/[LCM of 533,650]= 1/26650

Therefore, the GCF of 418/533,149/650 is 1/26650.

Greatest Common Factor of 418,149

To find the highest common factor of 418,149, 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 149 are 1, 149

The HCF of 418,149 is 1.

Lets's calculate GCF of 418,149

Greatest Common Factor (GCF) of 418,149 By Common Division

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

Greatest Common Factor of 418,149 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 149

1,149

Greatest Common Factor

We found the factors 418,149 . The biggest common factor number is the GCF number.
So the greatest common factor 418,149 is 1.

Lets's calculate LCM of 533,650

Lowest Common Multiple of 533,650 using Common Division

13	533, 650
	41, 50

∴ So the LCM of the given numbers is 13 x 41 x 50 = 26650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26650

Therefore, the GCF of Fractions 418/533,149/650 is 1/26650

Least Common Multiple of 533,650 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 533,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,650) = 13

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

GCF(533,650) x common factors =13 x 1 = 13

LCM(533,650) = ( 533 × 650 ) / 13

LCM(533,650) = 346450 / 13

LCM(533,650) = 26650

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FAQs on GCF of Fractions of 418/533, 149/650

1. What is the HCF of 418,149?

The HCF of 418,149 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 418/533, 149/650?

Answer: GCF of Numerators as per given numbers 418/533, 149/650 is

GCF of Numerators i.e. for 418,149 is 1

LCM of denominators i.e. for 533,650 is 26650.

Thus, GCF of Fractions is 1/26650.Finally, GCF of Fractions for 418/533, 149/650 is 1/26650.