How to Find GCF of 4196/955, 2120/2351?

GCF of 4196/955, 2120/2351

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 4196/955, 2120/2351 i.e 4/2245205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4196/955, 2120/2351.

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 4196/955,2120/2351?

Given fractions are 4196/955,2120/2351

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 4196/955,2120/2351, numerators are 4196,2120

Denominators are 955,2351

The GCF of 4196,2120 is 4 .

LCM of 955,2351 is 2245205.

The greatest common factor of 4196/955,2120/2351 = [GCF of 4196,2120]/[LCM of 955,2351]= 4/2245205

Therefore, the GCF of 4196/955,2120/2351 is 4/2245205.

Greatest Common Factor of 4196,2120

To find the highest common factor of 4196,2120, we have to find the factors of both numbers and list the highest common factor.

The factors of 4196 are 1, 2, 4, 1049, 2098, 4196

The factors of 2120 are 1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120

The HCF of 4196,2120 is 4.

Lets's calculate GCF of 4196,2120

Greatest Common Factor (GCF) of 4196,2120 By Common Division

2	4196, 2120
2	2098, 1060
	1049, 530

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

Greatest Common Factor of 4196,2120 By Matching Biggest Common Factor Method

Now, list down the factors of 4196

1,2,4,1049,2098,4196

Now, list down the factors of 2120

1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120

Greatest Common Factor

We found the factors 4196,2120 . The biggest common factor number is the GCF number.
So the greatest common factor 4196,2120 is 4.

Lets's calculate LCM of 955,2351

Lowest Common Multiple of 955,2351 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2245205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2245205

Therefore, the GCF of Fractions 4196/955,2120/2351 is 4/2245205

Least Common Multiple of 955,2351 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 955,2351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,2351) = 1

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

GCF(955,2351) x common factors =1 x 1 = 1

LCM(955,2351) = ( 955 × 2351 ) / 1

LCM(955,2351) = 2245205 / 1

LCM(955,2351) = 2245205

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4196/955, 2120/2351

1. What is the HCF of 4196,2120?

The HCF of 4196,2120 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 4196/955, 2120/2351?

Answer: GCF of Numerators as per given numbers 4196/955, 2120/2351 is

GCF of Numerators i.e. for 4196,2120 is 4

LCM of denominators i.e. for 955,2351 is 2245205.

Thus, GCF of Fractions is 4/2245205.Finally, GCF of Fractions for 4196/955, 2120/2351 is 4/2245205.