How to Find GCF of 4019/836, 1837/7368?

GCF of 4019/836, 1837/7368

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 4019/836, 1837/7368 i.e 1/1539912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4019/836, 1837/7368.

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 4019/836,1837/7368?

Given fractions are 4019/836,1837/7368

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 4019/836,1837/7368, numerators are 4019,1837

Denominators are 836,7368

The GCF of 4019,1837 is 1 .

LCM of 836,7368 is 1539912.

The greatest common factor of 4019/836,1837/7368 = [GCF of 4019,1837]/[LCM of 836,7368]= 1/1539912

Therefore, the GCF of 4019/836,1837/7368 is 1/1539912.

Greatest Common Factor of 4019,1837

To find the highest common factor of 4019,1837, we have to find the factors of both numbers and list the highest common factor.

The factors of 4019 are 1, 4019

The factors of 1837 are 1, 11, 167, 1837

The HCF of 4019,1837 is 1.

Lets's calculate GCF of 4019,1837

Greatest Common Factor (GCF) of 4019,1837 By Common Division

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

Greatest Common Factor of 4019,1837 By Matching Biggest Common Factor Method

Now, list down the factors of 4019

1,4019

Now, list down the factors of 1837

1,11,167,1837

Greatest Common Factor

We found the factors 4019,1837 . The biggest common factor number is the GCF number.
So the greatest common factor 4019,1837 is 1.

Lets's calculate LCM of 836,7368

Lowest Common Multiple of 836,7368 using Common Division

2	836, 7368
2	418, 3684
	209, 1842

∴ So the LCM of the given numbers is 2 x 2 x 209 x 1842 = 1539912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1539912

Therefore, the GCF of Fractions 4019/836,1837/7368 is 1/1539912

Least Common Multiple of 836,7368 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 836,7368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,7368) = 4

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

GCF(836,7368) x common factors =4 x 1 = 4

LCM(836,7368) = ( 836 × 7368 ) / 4

LCM(836,7368) = 6159648 / 4

LCM(836,7368) = 1539912

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4019/836, 1837/7368

1. What is the HCF of 4019,1837?

The HCF of 4019,1837 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 4019/836, 1837/7368?

Answer: GCF of Numerators as per given numbers 4019/836, 1837/7368 is

GCF of Numerators i.e. for 4019,1837 is 1

LCM of denominators i.e. for 836,7368 is 1539912.

Thus, GCF of Fractions is 1/1539912.Finally, GCF of Fractions for 4019/836, 1837/7368 is 1/1539912.