How to Find GCF of 2306/825, 4208/4852?

GCF of 2306/825, 4208/4852

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 2306/825, 4208/4852 i.e 2/4002900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2306/825, 4208/4852.

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 2306/825,4208/4852?

Given fractions are 2306/825,4208/4852

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 2306/825,4208/4852, numerators are 2306,4208

Denominators are 825,4852

The GCF of 2306,4208 is 2 .

LCM of 825,4852 is 4002900.

The greatest common factor of 2306/825,4208/4852 = [GCF of 2306,4208]/[LCM of 825,4852]= 2/4002900

Therefore, the GCF of 2306/825,4208/4852 is 2/4002900.

Greatest Common Factor of 2306,4208

To find the highest common factor of 2306,4208, we have to find the factors of both numbers and list the highest common factor.

The factors of 2306 are 1, 2, 1153, 2306

The factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208

The HCF of 2306,4208 is 2.

Lets's calculate GCF of 2306,4208

Greatest Common Factor (GCF) of 2306,4208 By Common Division

2	2306, 4208
	1153, 2104

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

Greatest Common Factor of 2306,4208 By Matching Biggest Common Factor Method

Now, list down the factors of 2306

1,2,1153,2306

Now, list down the factors of 4208

1,2,4,8,16,263,526,1052,2104,4208

Greatest Common Factor

We found the factors 2306,4208 . The biggest common factor number is the GCF number.
So the greatest common factor 2306,4208 is 2.

Lets's calculate LCM of 825,4852

Lowest Common Multiple of 825,4852 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4002900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4002900

Therefore, the GCF of Fractions 2306/825,4208/4852 is 2/4002900

Least Common Multiple of 825,4852 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 825,4852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,4852) = 1

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

GCF(825,4852) x common factors =1 x 1 = 1

LCM(825,4852) = ( 825 × 4852 ) / 1

LCM(825,4852) = 4002900 / 1

LCM(825,4852) = 4002900

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2306/825, 4208/4852

1. What is the HCF of 2306,4208?

The HCF of 2306,4208 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 2306/825, 4208/4852?

Answer: GCF of Numerators as per given numbers 2306/825, 4208/4852 is

GCF of Numerators i.e. for 2306,4208 is 2

LCM of denominators i.e. for 825,4852 is 4002900.

Thus, GCF of Fractions is 2/4002900.Finally, GCF of Fractions for 2306/825, 4208/4852 is 2/4002900.