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GCF of 388/66, 150/3454

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 388/66, 150/3454 i.e 2/10362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 388/66, 150/3454.

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 388/66,150/3454?

Given fractions are 388/66,150/3454

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 388/66,150/3454, numerators are 388,150

Denominators are 66,3454

The GCF of 388,150 is 2 .

LCM of 66,3454 is 10362.

The greatest common factor of 388/66,150/3454 = [GCF of 388,150]/[LCM of 66,3454]= 2/10362

Therefore, the GCF of 388/66,150/3454 is 2/10362.

Greatest Common Factor of 388,150

To find the highest common factor of 388,150, we have to find the factors of both numbers and list the highest common factor.

The factors of 388 are 1, 2, 4, 97, 194, 388

The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

The HCF of 388,150 is 2.

Lets's calculate GCF of 388,150

Greatest Common Factor (GCF) of 388,150 By Common Division

2 388, 150
194, 75

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

Greatest Common Factor of 388,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,150 By Matching Biggest Common Factor Method

Now, list down the factors of 388

:

1,2,4,97,194,388

Now, list down the factors of 150

:

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 388,150 . The biggest common factor number is the GCF number.
So the greatest common factor 388,150 is 2.

Lets's calculate LCM of 66,3454

Lowest Common Multiple of 66,3454 using Common Division

2 66, 3454
11 33, 1727
3, 157

∴ So the LCM of the given numbers is 2 x 11 x 3 x 157 = 10362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10362

Therefore, the GCF of Fractions 388/66,150/3454 is 2/10362

Least Common Multiple of 66,3454 with GCF Formula

Least Common Multiple of 66,3454 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 66,3454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,3454) = 22

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

GCF(66,3454) x common factors =22 x 1 = 22

LCM(66,3454) = ( 66 × 3454 ) / 22

LCM(66,3454) = 227964 / 22

LCM(66,3454) = 10362


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FAQs on GCF of Fractions of 388/66, 150/3454

1. What is the HCF of 388,150?

The HCF of 388,150 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 388/66, 150/3454?

Answer: GCF of Numerators as per given numbers 388/66, 150/3454 is

GCF of Numerators i.e. for 388,150 is 2

LCM of denominators i.e. for 66,3454 is 10362.

Thus, GCF of Fractions is 2/10362.Finally, GCF of Fractions for 388/66, 150/3454 is 2/10362.