How to Find GCF of 3603/295, 2120/5868?

GCF of 3603/295, 2120/5868

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 3603/295, 2120/5868 i.e 1/1731060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3603/295, 2120/5868.

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 3603/295,2120/5868?

Given fractions are 3603/295,2120/5868

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 3603/295,2120/5868, numerators are 3603,2120

Denominators are 295,5868

The GCF of 3603,2120 is 1 .

LCM of 295,5868 is 1731060.

The greatest common factor of 3603/295,2120/5868 = [GCF of 3603,2120]/[LCM of 295,5868]= 1/1731060

Therefore, the GCF of 3603/295,2120/5868 is 1/1731060.

Greatest Common Factor of 3603,2120

To find the highest common factor of 3603,2120, we have to find the factors of both numbers and list the highest common factor.

The factors of 3603 are 1, 3, 1201, 3603

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

The HCF of 3603,2120 is 1.

Lets's calculate GCF of 3603,2120

Greatest Common Factor (GCF) of 3603,2120 By Common Division

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

Greatest Common Factor of 3603,2120 By Matching Biggest Common Factor Method

Now, list down the factors of 3603

1,3,1201,3603

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 3603,2120 . The biggest common factor number is the GCF number.
So the greatest common factor 3603,2120 is 1.

Lets's calculate LCM of 295,5868

Lowest Common Multiple of 295,5868 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1731060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1731060

Therefore, the GCF of Fractions 3603/295,2120/5868 is 1/1731060

Least Common Multiple of 295,5868 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 295,5868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,5868) = 1

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

GCF(295,5868) x common factors =1 x 1 = 1

LCM(295,5868) = ( 295 × 5868 ) / 1

LCM(295,5868) = 1731060 / 1

LCM(295,5868) = 1731060

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FAQs on GCF of Fractions of 3603/295, 2120/5868

1. What is the HCF of 3603,2120?

The HCF of 3603,2120 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 3603/295, 2120/5868?

Answer: GCF of Numerators as per given numbers 3603/295, 2120/5868 is

GCF of Numerators i.e. for 3603,2120 is 1

LCM of denominators i.e. for 295,5868 is 1731060.

Thus, GCF of Fractions is 1/1731060.Finally, GCF of Fractions for 3603/295, 2120/5868 is 1/1731060.