How to Find GCF of 1956/388, 4039/4852?

GCF of 1956/388, 4039/4852

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 1956/388, 4039/4852 i.e 1/470644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1956/388, 4039/4852.

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 1956/388,4039/4852?

Given fractions are 1956/388,4039/4852

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 1956/388,4039/4852, numerators are 1956,4039

Denominators are 388,4852

The GCF of 1956,4039 is 1 .

LCM of 388,4852 is 470644.

The greatest common factor of 1956/388,4039/4852 = [GCF of 1956,4039]/[LCM of 388,4852]= 1/470644

Therefore, the GCF of 1956/388,4039/4852 is 1/470644.

Greatest Common Factor of 1956,4039

To find the highest common factor of 1956,4039, we have to find the factors of both numbers and list the highest common factor.

The factors of 1956 are 1, 2, 3, 4, 6, 12, 163, 326, 489, 652, 978, 1956

The factors of 4039 are 1, 7, 577, 4039

The HCF of 1956,4039 is 1.

Lets's calculate GCF of 1956,4039

Greatest Common Factor (GCF) of 1956,4039 By Common Division

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

Greatest Common Factor of 1956,4039 By Matching Biggest Common Factor Method

Now, list down the factors of 1956

1,2,3,4,6,12,163,326,489,652,978,1956

Now, list down the factors of 4039

1,7,577,4039

Greatest Common Factor

We found the factors 1956,4039 . The biggest common factor number is the GCF number.
So the greatest common factor 1956,4039 is 1.

Lets's calculate LCM of 388,4852

Lowest Common Multiple of 388,4852 using Common Division

2	388, 4852
2	194, 2426
	97, 1213

∴ So the LCM of the given numbers is 2 x 2 x 97 x 1213 = 470644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/470644

Therefore, the GCF of Fractions 1956/388,4039/4852 is 1/470644

Least Common Multiple of 388,4852 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 388,4852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,4852) = 4

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

GCF(388,4852) x common factors =4 x 1 = 4

LCM(388,4852) = ( 388 × 4852 ) / 4

LCM(388,4852) = 1882576 / 4

LCM(388,4852) = 470644

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FAQs on GCF of Fractions of 1956/388, 4039/4852

1. What is the HCF of 1956,4039?

The HCF of 1956,4039 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 1956/388, 4039/4852?

Answer: GCF of Numerators as per given numbers 1956/388, 4039/4852 is

GCF of Numerators i.e. for 1956,4039 is 1

LCM of denominators i.e. for 388,4852 is 470644.

Thus, GCF of Fractions is 1/470644.Finally, GCF of Fractions for 1956/388, 4039/4852 is 1/470644.