How to Find GCF of 1266/348, 8828/2035?

GCF of 1266/348, 8828/2035

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 1266/348, 8828/2035 i.e 2/708180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1266/348, 8828/2035.

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 1266/348,8828/2035?

Given fractions are 1266/348,8828/2035

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 1266/348,8828/2035, numerators are 1266,8828

Denominators are 348,2035

The GCF of 1266,8828 is 2 .

LCM of 348,2035 is 708180.

The greatest common factor of 1266/348,8828/2035 = [GCF of 1266,8828]/[LCM of 348,2035]= 2/708180

Therefore, the GCF of 1266/348,8828/2035 is 2/708180.

Greatest Common Factor of 1266,8828

To find the highest common factor of 1266,8828, we have to find the factors of both numbers and list the highest common factor.

The factors of 1266 are 1, 2, 3, 6, 211, 422, 633, 1266

The factors of 8828 are 1, 2, 4, 2207, 4414, 8828

The HCF of 1266,8828 is 2.

Lets's calculate GCF of 1266,8828

Greatest Common Factor (GCF) of 1266,8828 By Common Division

2	1266, 8828
	633, 4414

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

Greatest Common Factor of 1266,8828 By Matching Biggest Common Factor Method

Now, list down the factors of 1266

1,2,3,6,211,422,633,1266

Now, list down the factors of 8828

1,2,4,2207,4414,8828

Greatest Common Factor

We found the factors 1266,8828 . The biggest common factor number is the GCF number.
So the greatest common factor 1266,8828 is 2.

Lets's calculate LCM of 348,2035

Lowest Common Multiple of 348,2035 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 708180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/708180

Therefore, the GCF of Fractions 1266/348,8828/2035 is 2/708180

Least Common Multiple of 348,2035 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 348,2035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,2035) = 1

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

GCF(348,2035) x common factors =1 x 1 = 1

LCM(348,2035) = ( 348 × 2035 ) / 1

LCM(348,2035) = 708180 / 1

LCM(348,2035) = 708180

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1266/348, 8828/2035

1. What is the HCF of 1266,8828?

The HCF of 1266,8828 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 1266/348, 8828/2035?

Answer: GCF of Numerators as per given numbers 1266/348, 8828/2035 is

GCF of Numerators i.e. for 1266,8828 is 2

LCM of denominators i.e. for 348,2035 is 708180.

Thus, GCF of Fractions is 2/708180.Finally, GCF of Fractions for 1266/348, 8828/2035 is 2/708180.