How to Find GCF of 3919/250, 9047/1748?

GCF of 3919/250, 9047/1748

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 3919/250, 9047/1748 i.e 1/218500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3919/250, 9047/1748.

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 3919/250,9047/1748?

Given fractions are 3919/250,9047/1748

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 3919/250,9047/1748, numerators are 3919,9047

Denominators are 250,1748

The GCF of 3919,9047 is 1 .

LCM of 250,1748 is 218500.

The greatest common factor of 3919/250,9047/1748 = [GCF of 3919,9047]/[LCM of 250,1748]= 1/218500

Therefore, the GCF of 3919/250,9047/1748 is 1/218500.

Greatest Common Factor of 3919,9047

To find the highest common factor of 3919,9047, we have to find the factors of both numbers and list the highest common factor.

The factors of 3919 are 1, 3919

The factors of 9047 are 1, 83, 109, 9047

The HCF of 3919,9047 is 1.

Lets's calculate GCF of 3919,9047

Greatest Common Factor (GCF) of 3919,9047 By Common Division

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

Greatest Common Factor of 3919,9047 By Matching Biggest Common Factor Method

Now, list down the factors of 3919

1,3919

Now, list down the factors of 9047

1,83,109,9047

Greatest Common Factor

We found the factors 3919,9047 . The biggest common factor number is the GCF number.
So the greatest common factor 3919,9047 is 1.

Lets's calculate LCM of 250,1748

Lowest Common Multiple of 250,1748 using Common Division

2	250, 1748
	125, 874

∴ So the LCM of the given numbers is 2 x 125 x 874 = 218500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218500

Therefore, the GCF of Fractions 3919/250,9047/1748 is 1/218500

Least Common Multiple of 250,1748 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 250,1748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,1748) = 2

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

GCF(250,1748) x common factors =2 x 1 = 2

LCM(250,1748) = ( 250 × 1748 ) / 2

LCM(250,1748) = 437000 / 2

LCM(250,1748) = 218500

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FAQs on GCF of Fractions of 3919/250, 9047/1748

1. What is the HCF of 3919,9047?

The HCF of 3919,9047 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 3919/250, 9047/1748?

Answer: GCF of Numerators as per given numbers 3919/250, 9047/1748 is

GCF of Numerators i.e. for 3919,9047 is 1

LCM of denominators i.e. for 250,1748 is 218500.

Thus, GCF of Fractions is 1/218500.Finally, GCF of Fractions for 3919/250, 9047/1748 is 1/218500.