How to Find GCF of 38/370, 43/550, 946/911?

GCF of 38/370, 43/550, 946/911

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 38/370, 43/550, 946/911 i.e 1/18538850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/370, 43/550, 946/911.

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 38/370,43/550,946/911?

Given fractions are 38/370,43/550,946/911

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 38/370,43/550,946/911, numerators are 38,43,946

Denominators are 370,550,911

The GCF of 38,43,946 is 1 .

LCM of 370,550,911 is 18538850.

The greatest common factor of 38/370,43/550,946/911 = [GCF of 38,43,946]/[LCM of 370,550,911]= 1/18538850

Therefore, the GCF of 38/370,43/550,946/911 is 1/18538850.

Greatest Common Factor of 38,43,946

To find the highest common factor of 38,43,946, we have to find the factors of both numbers and list the highest common factor.

The factors of 38 are 1, 2, 19, 38

The factors of 43 are 1, 43

The factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946

The HCF of 38,43,946 is 1.

Lets's calculate GCF of 38,43,946

Greatest Common Factor (GCF) of 38,43,946 By Common Division

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

Greatest Common Factor of 38,43,946 By Matching Biggest Common Factor Method

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 43

1,43

Now, list down the factors of 946

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 38,43,946 . The biggest common factor number is the GCF number.
So the greatest common factor 38,43,946 is 1.

Lets's calculate LCM of 370,550,911

Lowest Common Multiple of 370,550,911 using Common Division

2	370, 550, 911
5	185, 275, 911
	37, 55, 911

∴ So the LCM of the given numbers is 2 x 5 x 37 x 55 x 911 = 18538850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18538850

Therefore, the GCF of Fractions 38/370,43/550,946/911 is 1/18538850

Least Common Multiple of 370,550,911 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 370,550,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,550,911) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(370,550,911) x common factors =1 x 10 = 10

LCM(370,550,911) = ( 370 × 550 × 911 ) / 10

LCM(370,550,911) = 185388500 / 10

LCM(370,550,911) = 18538850

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 38/370, 43/550, 946/911

1. What is the HCF of 38,43,946?

The HCF of 38,43,946 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 38/370, 43/550, 946/911?

Answer: GCF of Numerators as per given numbers 38/370, 43/550, 946/911 is

GCF of Numerators i.e. for 38,43,946 is 1

LCM of denominators i.e. for 370,550,911 is 18538850.

Thus, GCF of Fractions is 1/18538850.Finally, GCF of Fractions for 38/370, 43/550, 946/911 is 1/18538850.