How to Find GCF of 38/452, 1247/6936?

GCF of 38/452, 1247/6936

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 38/452, 1247/6936 i.e 1/783768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/452, 1247/6936.

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 38/452,1247/6936?

Given fractions are 38/452,1247/6936

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 38/452,1247/6936, numerators are 38,1247

Denominators are 452,6936

The GCF of 38,1247 is 1 .

LCM of 452,6936 is 783768.

The greatest common factor of 38/452,1247/6936 = [GCF of 38,1247]/[LCM of 452,6936]= 1/783768

Therefore, the GCF of 38/452,1247/6936 is 1/783768.

Greatest Common Factor of 38,1247

To find the highest common factor of 38,1247, 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 1247 are 1, 29, 43, 1247

The HCF of 38,1247 is 1.

Lets's calculate GCF of 38,1247

Greatest Common Factor (GCF) of 38,1247 By Common Division

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

Greatest Common Factor of 38,1247 By Matching Biggest Common Factor Method

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 1247

1,29,43,1247

Greatest Common Factor

We found the factors 38,1247 . The biggest common factor number is the GCF number.
So the greatest common factor 38,1247 is 1.

Lets's calculate LCM of 452,6936

Lowest Common Multiple of 452,6936 using Common Division

2	452, 6936
2	226, 3468
	113, 1734

∴ So the LCM of the given numbers is 2 x 2 x 113 x 1734 = 783768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/783768

Therefore, the GCF of Fractions 38/452,1247/6936 is 1/783768

Least Common Multiple of 452,6936 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 452,6936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,6936) = 4

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

GCF(452,6936) x common factors =4 x 1 = 4

LCM(452,6936) = ( 452 × 6936 ) / 4

LCM(452,6936) = 3135072 / 4

LCM(452,6936) = 783768

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FAQs on GCF of Fractions of 38/452, 1247/6936

1. What is the HCF of 38,1247?

The HCF of 38,1247 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 38/452, 1247/6936?

Answer: GCF of Numerators as per given numbers 38/452, 1247/6936 is

GCF of Numerators i.e. for 38,1247 is 1

LCM of denominators i.e. for 452,6936 is 783768.

Thus, GCF of Fractions is 1/783768.Finally, GCF of Fractions for 38/452, 1247/6936 is 1/783768.