How to Find GCF of 6776/243, 2830/6263?

GCF of 6776/243, 2830/6263

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 6776/243, 2830/6263 i.e 2/1521909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6776/243, 2830/6263.

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 6776/243,2830/6263?

Given fractions are 6776/243,2830/6263

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 6776/243,2830/6263, numerators are 6776,2830

Denominators are 243,6263

The GCF of 6776,2830 is 2 .

LCM of 243,6263 is 1521909.

The greatest common factor of 6776/243,2830/6263 = [GCF of 6776,2830]/[LCM of 243,6263]= 2/1521909

Therefore, the GCF of 6776/243,2830/6263 is 2/1521909.

Greatest Common Factor of 6776,2830

To find the highest common factor of 6776,2830, we have to find the factors of both numbers and list the highest common factor.

The factors of 6776 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 121, 154, 242, 308, 484, 616, 847, 968, 1694, 3388, 6776

The factors of 2830 are 1, 2, 5, 10, 283, 566, 1415, 2830

The HCF of 6776,2830 is 2.

Lets's calculate GCF of 6776,2830

Greatest Common Factor (GCF) of 6776,2830 By Common Division

2	6776, 2830
	3388, 1415

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

Greatest Common Factor of 6776,2830 By Matching Biggest Common Factor Method

Now, list down the factors of 6776

1,2,4,7,8,11,14,22,28,44,56,77,88,121,154,242,308,484,616,847,968,1694,3388,6776

Now, list down the factors of 2830

1,2,5,10,283,566,1415,2830

Greatest Common Factor

We found the factors 6776,2830 . The biggest common factor number is the GCF number.
So the greatest common factor 6776,2830 is 2.

Lets's calculate LCM of 243,6263

Lowest Common Multiple of 243,6263 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1521909

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1521909

Therefore, the GCF of Fractions 6776/243,2830/6263 is 2/1521909

Least Common Multiple of 243,6263 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 243,6263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,6263) = 1

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

GCF(243,6263) x common factors =1 x 1 = 1

LCM(243,6263) = ( 243 × 6263 ) / 1

LCM(243,6263) = 1521909 / 1

LCM(243,6263) = 1521909

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6776/243, 2830/6263

1. What is the HCF of 6776,2830?

The HCF of 6776,2830 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 6776/243, 2830/6263?

Answer: GCF of Numerators as per given numbers 6776/243, 2830/6263 is

GCF of Numerators i.e. for 6776,2830 is 2

LCM of denominators i.e. for 243,6263 is 1521909.

Thus, GCF of Fractions is 2/1521909.Finally, GCF of Fractions for 6776/243, 2830/6263 is 2/1521909.