How to Find GCF of 6870/336, 3349/2506?

GCF of 6870/336, 3349/2506

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 6870/336, 3349/2506 i.e 1/60144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6870/336, 3349/2506.

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 6870/336,3349/2506?

Given fractions are 6870/336,3349/2506

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 6870/336,3349/2506, numerators are 6870,3349

Denominators are 336,2506

The GCF of 6870,3349 is 1 .

LCM of 336,2506 is 60144.

The greatest common factor of 6870/336,3349/2506 = [GCF of 6870,3349]/[LCM of 336,2506]= 1/60144

Therefore, the GCF of 6870/336,3349/2506 is 1/60144.

Greatest Common Factor of 6870,3349

To find the highest common factor of 6870,3349, we have to find the factors of both numbers and list the highest common factor.

The factors of 6870 are 1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870

The factors of 3349 are 1, 17, 197, 3349

The HCF of 6870,3349 is 1.

Lets's calculate GCF of 6870,3349

Greatest Common Factor (GCF) of 6870,3349 By Common Division

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

Greatest Common Factor of 6870,3349 By Matching Biggest Common Factor Method

Now, list down the factors of 6870

1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870

Now, list down the factors of 3349

1,17,197,3349

Greatest Common Factor

We found the factors 6870,3349 . The biggest common factor number is the GCF number.
So the greatest common factor 6870,3349 is 1.

Lets's calculate LCM of 336,2506

Lowest Common Multiple of 336,2506 using Common Division

2	336, 2506
7	168, 1253
	24, 179

∴ So the LCM of the given numbers is 2 x 7 x 24 x 179 = 60144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60144

Therefore, the GCF of Fractions 6870/336,3349/2506 is 1/60144

Least Common Multiple of 336,2506 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 336,2506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,2506) = 14

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

GCF(336,2506) x common factors =14 x 1 = 14

LCM(336,2506) = ( 336 × 2506 ) / 14

LCM(336,2506) = 842016 / 14

LCM(336,2506) = 60144

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FAQs on GCF of Fractions of 6870/336, 3349/2506

1. What is the HCF of 6870,3349?

The HCF of 6870,3349 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 6870/336, 3349/2506?

Answer: GCF of Numerators as per given numbers 6870/336, 3349/2506 is

GCF of Numerators i.e. for 6870,3349 is 1

LCM of denominators i.e. for 336,2506 is 60144.

Thus, GCF of Fractions is 1/60144.Finally, GCF of Fractions for 6870/336, 3349/2506 is 1/60144.