How to Find GCF of 2908/265, 1812/6614?

GCF of 2908/265, 1812/6614

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 2908/265, 1812/6614 i.e 4/1752710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2908/265, 1812/6614.

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 2908/265,1812/6614?

Given fractions are 2908/265,1812/6614

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 2908/265,1812/6614, numerators are 2908,1812

Denominators are 265,6614

The GCF of 2908,1812 is 4 .

LCM of 265,6614 is 1752710.

The greatest common factor of 2908/265,1812/6614 = [GCF of 2908,1812]/[LCM of 265,6614]= 4/1752710

Therefore, the GCF of 2908/265,1812/6614 is 4/1752710.

Greatest Common Factor of 2908,1812

To find the highest common factor of 2908,1812, we have to find the factors of both numbers and list the highest common factor.

The factors of 2908 are 1, 2, 4, 727, 1454, 2908

The factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812

The HCF of 2908,1812 is 4.

Lets's calculate GCF of 2908,1812

Greatest Common Factor (GCF) of 2908,1812 By Common Division

2	2908, 1812
2	1454, 906
	727, 453

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2908,1812 By Matching Biggest Common Factor Method

Now, list down the factors of 2908

1,2,4,727,1454,2908

Now, list down the factors of 1812

1,2,3,4,6,12,151,302,453,604,906,1812

Greatest Common Factor

We found the factors 2908,1812 . The biggest common factor number is the GCF number.
So the greatest common factor 2908,1812 is 4.

Lets's calculate LCM of 265,6614

Lowest Common Multiple of 265,6614 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1752710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1752710

Therefore, the GCF of Fractions 2908/265,1812/6614 is 4/1752710

Least Common Multiple of 265,6614 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 265,6614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,6614) = 1

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

GCF(265,6614) x common factors =1 x 1 = 1

LCM(265,6614) = ( 265 × 6614 ) / 1

LCM(265,6614) = 1752710 / 1

LCM(265,6614) = 1752710

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FAQs on GCF of Fractions of 2908/265, 1812/6614

1. What is the HCF of 2908,1812?

The HCF of 2908,1812 is 4

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 2908/265, 1812/6614?

Answer: GCF of Numerators as per given numbers 2908/265, 1812/6614 is

GCF of Numerators i.e. for 2908,1812 is 4

LCM of denominators i.e. for 265,6614 is 1752710.

Thus, GCF of Fractions is 4/1752710.Finally, GCF of Fractions for 2908/265, 1812/6614 is 4/1752710.