How to Find GCF of 3019/348, 3495/2372?

GCF of 3019/348, 3495/2372

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 3019/348, 3495/2372 i.e 1/206364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3019/348, 3495/2372.

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 3019/348,3495/2372?

Given fractions are 3019/348,3495/2372

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 3019/348,3495/2372, numerators are 3019,3495

Denominators are 348,2372

The GCF of 3019,3495 is 1 .

LCM of 348,2372 is 206364.

The greatest common factor of 3019/348,3495/2372 = [GCF of 3019,3495]/[LCM of 348,2372]= 1/206364

Therefore, the GCF of 3019/348,3495/2372 is 1/206364.

Greatest Common Factor of 3019,3495

To find the highest common factor of 3019,3495, we have to find the factors of both numbers and list the highest common factor.

The factors of 3019 are 1, 3019

The factors of 3495 are 1, 3, 5, 15, 233, 699, 1165, 3495

The HCF of 3019,3495 is 1.

Lets's calculate GCF of 3019,3495

Greatest Common Factor (GCF) of 3019,3495 By Common Division

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

Greatest Common Factor of 3019,3495 By Matching Biggest Common Factor Method

Now, list down the factors of 3019

1,3019

Now, list down the factors of 3495

1,3,5,15,233,699,1165,3495

Greatest Common Factor

We found the factors 3019,3495 . The biggest common factor number is the GCF number.
So the greatest common factor 3019,3495 is 1.

Lets's calculate LCM of 348,2372

Lowest Common Multiple of 348,2372 using Common Division

2	348, 2372
2	174, 1186
	87, 593

∴ So the LCM of the given numbers is 2 x 2 x 87 x 593 = 206364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206364

Therefore, the GCF of Fractions 3019/348,3495/2372 is 1/206364

Least Common Multiple of 348,2372 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 348,2372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,2372) = 4

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

GCF(348,2372) x common factors =4 x 1 = 4

LCM(348,2372) = ( 348 × 2372 ) / 4

LCM(348,2372) = 825456 / 4

LCM(348,2372) = 206364

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FAQs on GCF of Fractions of 3019/348, 3495/2372

1. What is the HCF of 3019,3495?

The HCF of 3019,3495 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 3019/348, 3495/2372?

Answer: GCF of Numerators as per given numbers 3019/348, 3495/2372 is

GCF of Numerators i.e. for 3019,3495 is 1

LCM of denominators i.e. for 348,2372 is 206364.

Thus, GCF of Fractions is 1/206364.Finally, GCF of Fractions for 3019/348, 3495/2372 is 1/206364.