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GCF of 186/440, 149/376

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 186/440, 149/376 i.e 1/20680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 186/440, 149/376.

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 186/440,149/376?

Given fractions are 186/440,149/376

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 186/440,149/376, numerators are 186,149

Denominators are 440,376

The GCF of 186,149 is 1 .

LCM of 440,376 is 20680.

The greatest common factor of 186/440,149/376 = [GCF of 186,149]/[LCM of 440,376]= 1/20680

Therefore, the GCF of 186/440,149/376 is 1/20680.

Greatest Common Factor of 186,149

To find the highest common factor of 186,149, we have to find the factors of both numbers and list the highest common factor.

The factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186

The factors of 149 are 1, 149

The HCF of 186,149 is 1.

Lets's calculate GCF of 186,149

Greatest Common Factor (GCF) of 186,149 By Common Division

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

Greatest Common Factor of 186,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,149 By Matching Biggest Common Factor Method

Now, list down the factors of 186

:

1,2,3,6,31,62,93,186

Now, list down the factors of 149

:

1,149

Greatest Common Factor

We found the factors 186,149 . The biggest common factor number is the GCF number.
So the greatest common factor 186,149 is 1.

Lets's calculate LCM of 440,376

Lowest Common Multiple of 440,376 using Common Division

2 440, 376
2 220, 188
2 110, 94
55, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 55 x 47 = 20680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20680

Therefore, the GCF of Fractions 186/440,149/376 is 1/20680

Least Common Multiple of 440,376 with GCF Formula

Least Common Multiple of 440,376 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 440,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,376) = 8

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

GCF(440,376) x common factors =8 x 1 = 8

LCM(440,376) = ( 440 × 376 ) / 8

LCM(440,376) = 165440 / 8

LCM(440,376) = 20680


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FAQs on GCF of Fractions of 186/440, 149/376

1. What is the HCF of 186,149?

The HCF of 186,149 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 186/440, 149/376?

Answer: GCF of Numerators as per given numbers 186/440, 149/376 is

GCF of Numerators i.e. for 186,149 is 1

LCM of denominators i.e. for 440,376 is 20680.

Thus, GCF of Fractions is 1/20680.Finally, GCF of Fractions for 186/440, 149/376 is 1/20680.