How to Find GCF of 4201/907, 4636/3328?

GCF of 4201/907, 4636/3328

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 4201/907, 4636/3328 i.e 1/3018496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4201/907, 4636/3328.

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 4201/907,4636/3328?

Given fractions are 4201/907,4636/3328

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 4201/907,4636/3328, numerators are 4201,4636

Denominators are 907,3328

The GCF of 4201,4636 is 1 .

LCM of 907,3328 is 3018496.

The greatest common factor of 4201/907,4636/3328 = [GCF of 4201,4636]/[LCM of 907,3328]= 1/3018496

Therefore, the GCF of 4201/907,4636/3328 is 1/3018496.

Greatest Common Factor of 4201,4636

To find the highest common factor of 4201,4636, we have to find the factors of both numbers and list the highest common factor.

The factors of 4201 are 1, 4201

The factors of 4636 are 1, 2, 4, 19, 38, 61, 76, 122, 244, 1159, 2318, 4636

The HCF of 4201,4636 is 1.

Lets's calculate GCF of 4201,4636

Greatest Common Factor (GCF) of 4201,4636 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4201,4636 By Matching Biggest Common Factor Method

Now, list down the factors of 4201

1,4201

Now, list down the factors of 4636

1,2,4,19,38,61,76,122,244,1159,2318,4636

Greatest Common Factor

We found the factors 4201,4636 . The biggest common factor number is the GCF number.
So the greatest common factor 4201,4636 is 1.

Lets's calculate LCM of 907,3328

Lowest Common Multiple of 907,3328 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3018496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3018496

Therefore, the GCF of Fractions 4201/907,4636/3328 is 1/3018496

Least Common Multiple of 907,3328 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 907,3328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,3328) = 1

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

GCF(907,3328) x common factors =1 x 1 = 1

LCM(907,3328) = ( 907 × 3328 ) / 1

LCM(907,3328) = 3018496 / 1

LCM(907,3328) = 3018496

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4201/907, 4636/3328

1. What is the HCF of 4201,4636?

The HCF of 4201,4636 is 1

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 4201/907, 4636/3328?

Answer: GCF of Numerators as per given numbers 4201/907, 4636/3328 is

GCF of Numerators i.e. for 4201,4636 is 1

LCM of denominators i.e. for 907,3328 is 3018496.

Thus, GCF of Fractions is 1/3018496.Finally, GCF of Fractions for 4201/907, 4636/3328 is 1/3018496.