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GCF of 149/352, 406/530

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 149/352, 406/530 i.e 1/93280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 149/352, 406/530.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 149/352,406/530?

Given fractions are 149/352,406/530

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 149/352,406/530, numerators are 149,406

Denominators are 352,530

The GCF of 149,406 is 1 .

LCM of 352,530 is 93280.

The greatest common factor of 149/352,406/530 = [GCF of 149,406]/[LCM of 352,530]= 1/93280

Therefore, the GCF of 149/352,406/530 is 1/93280.

Greatest Common Factor of 149,406

To find the highest common factor of 149,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 149 are 1, 149

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 149,406 is 1.

Lets's calculate GCF of 149,406

Greatest Common Factor (GCF) of 149,406 By Common Division

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

Greatest Common Factor of 149,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,406 By Matching Biggest Common Factor Method

Now, list down the factors of 149

:

1,149

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 149,406 . The biggest common factor number is the GCF number.
So the greatest common factor 149,406 is 1.

Lets's calculate LCM of 352,530

Lowest Common Multiple of 352,530 using Common Division

2 352, 530
176, 265

∴ So the LCM of the given numbers is 2 x 176 x 265 = 93280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93280

Therefore, the GCF of Fractions 149/352,406/530 is 1/93280

Least Common Multiple of 352,530 with GCF Formula

Least Common Multiple of 352,530 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 352,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,530) = 2

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

GCF(352,530) x common factors =2 x 1 = 2

LCM(352,530) = ( 352 × 530 ) / 2

LCM(352,530) = 186560 / 2

LCM(352,530) = 93280


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FAQs on GCF of Fractions of 149/352, 406/530

1. What is the HCF of 149,406?

The HCF of 149,406 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 149/352, 406/530?

Answer: GCF of Numerators as per given numbers 149/352, 406/530 is

GCF of Numerators i.e. for 149,406 is 1

LCM of denominators i.e. for 352,530 is 93280.

Thus, GCF of Fractions is 1/93280.Finally, GCF of Fractions for 149/352, 406/530 is 1/93280.