How to Find GCF of 7366/284, 3490/6882?

GCF of 7366/284, 3490/6882

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 7366/284, 3490/6882 i.e 2/977244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7366/284, 3490/6882.

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 7366/284,3490/6882?

Given fractions are 7366/284,3490/6882

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 7366/284,3490/6882, numerators are 7366,3490

Denominators are 284,6882

The GCF of 7366,3490 is 2 .

LCM of 284,6882 is 977244.

The greatest common factor of 7366/284,3490/6882 = [GCF of 7366,3490]/[LCM of 284,6882]= 2/977244

Therefore, the GCF of 7366/284,3490/6882 is 2/977244.

Greatest Common Factor of 7366,3490

To find the highest common factor of 7366,3490, we have to find the factors of both numbers and list the highest common factor.

The factors of 7366 are 1, 2, 29, 58, 127, 254, 3683, 7366

The factors of 3490 are 1, 2, 5, 10, 349, 698, 1745, 3490

The HCF of 7366,3490 is 2.

Lets's calculate GCF of 7366,3490

Greatest Common Factor (GCF) of 7366,3490 By Common Division

2	7366, 3490
	3683, 1745

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7366,3490 By Matching Biggest Common Factor Method

Now, list down the factors of 7366

1,2,29,58,127,254,3683,7366

Now, list down the factors of 3490

1,2,5,10,349,698,1745,3490

Greatest Common Factor

We found the factors 7366,3490 . The biggest common factor number is the GCF number.
So the greatest common factor 7366,3490 is 2.

Lets's calculate LCM of 284,6882

Lowest Common Multiple of 284,6882 using Common Division

2	284, 6882
	142, 3441

∴ So the LCM of the given numbers is 2 x 142 x 3441 = 977244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/977244

Therefore, the GCF of Fractions 7366/284,3490/6882 is 2/977244

Least Common Multiple of 284,6882 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 284,6882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,6882) = 2

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

GCF(284,6882) x common factors =2 x 1 = 2

LCM(284,6882) = ( 284 × 6882 ) / 2

LCM(284,6882) = 1954488 / 2

LCM(284,6882) = 977244

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FAQs on GCF of Fractions of 7366/284, 3490/6882

1. What is the HCF of 7366,3490?

The HCF of 7366,3490 is 2

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 7366/284, 3490/6882?

Answer: GCF of Numerators as per given numbers 7366/284, 3490/6882 is

GCF of Numerators i.e. for 7366,3490 is 2

LCM of denominators i.e. for 284,6882 is 977244.

Thus, GCF of Fractions is 2/977244.Finally, GCF of Fractions for 7366/284, 3490/6882 is 2/977244.