How to Find GCF of 1664/365, 5882/7411?

GCF of 1664/365, 5882/7411

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 1664/365, 5882/7411 i.e 2/2705015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1664/365, 5882/7411.

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 1664/365,5882/7411?

Given fractions are 1664/365,5882/7411

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 1664/365,5882/7411, numerators are 1664,5882

Denominators are 365,7411

The GCF of 1664,5882 is 2 .

LCM of 365,7411 is 2705015.

The greatest common factor of 1664/365,5882/7411 = [GCF of 1664,5882]/[LCM of 365,7411]= 2/2705015

Therefore, the GCF of 1664/365,5882/7411 is 2/2705015.

Greatest Common Factor of 1664,5882

To find the highest common factor of 1664,5882, we have to find the factors of both numbers and list the highest common factor.

The factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664

The factors of 5882 are 1, 2, 17, 34, 173, 346, 2941, 5882

The HCF of 1664,5882 is 2.

Lets's calculate GCF of 1664,5882

Greatest Common Factor (GCF) of 1664,5882 By Common Division

2	1664, 5882
	832, 2941

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

Greatest Common Factor of 1664,5882 By Matching Biggest Common Factor Method

Now, list down the factors of 1664

1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664

Now, list down the factors of 5882

1,2,17,34,173,346,2941,5882

Greatest Common Factor

We found the factors 1664,5882 . The biggest common factor number is the GCF number.
So the greatest common factor 1664,5882 is 2.

Lets's calculate LCM of 365,7411

Lowest Common Multiple of 365,7411 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2705015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2705015

Therefore, the GCF of Fractions 1664/365,5882/7411 is 2/2705015

Least Common Multiple of 365,7411 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 365,7411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,7411) = 1

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

GCF(365,7411) x common factors =1 x 1 = 1

LCM(365,7411) = ( 365 × 7411 ) / 1

LCM(365,7411) = 2705015 / 1

LCM(365,7411) = 2705015

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FAQs on GCF of Fractions of 1664/365, 5882/7411

1. What is the HCF of 1664,5882?

The HCF of 1664,5882 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 1664/365, 5882/7411?

Answer: GCF of Numerators as per given numbers 1664/365, 5882/7411 is

GCF of Numerators i.e. for 1664,5882 is 2

LCM of denominators i.e. for 365,7411 is 2705015.

Thus, GCF of Fractions is 2/2705015.Finally, GCF of Fractions for 1664/365, 5882/7411 is 2/2705015.