How to Find GCF of 3691/488, 4369/2350?

GCF of 3691/488, 4369/2350

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 3691/488, 4369/2350 i.e 1/573400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3691/488, 4369/2350.

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 3691/488,4369/2350?

Given fractions are 3691/488,4369/2350

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 3691/488,4369/2350, numerators are 3691,4369

Denominators are 488,2350

The GCF of 3691,4369 is 1 .

LCM of 488,2350 is 573400.

The greatest common factor of 3691/488,4369/2350 = [GCF of 3691,4369]/[LCM of 488,2350]= 1/573400

Therefore, the GCF of 3691/488,4369/2350 is 1/573400.

Greatest Common Factor of 3691,4369

To find the highest common factor of 3691,4369, we have to find the factors of both numbers and list the highest common factor.

The factors of 3691 are 1, 3691

The factors of 4369 are 1, 17, 257, 4369

The HCF of 3691,4369 is 1.

Lets's calculate GCF of 3691,4369

Greatest Common Factor (GCF) of 3691,4369 By Common Division

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

Greatest Common Factor of 3691,4369 By Matching Biggest Common Factor Method

Now, list down the factors of 3691

1,3691

Now, list down the factors of 4369

1,17,257,4369

Greatest Common Factor

We found the factors 3691,4369 . The biggest common factor number is the GCF number.
So the greatest common factor 3691,4369 is 1.

Lets's calculate LCM of 488,2350

Lowest Common Multiple of 488,2350 using Common Division

2	488, 2350
	244, 1175

∴ So the LCM of the given numbers is 2 x 244 x 1175 = 573400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/573400

Therefore, the GCF of Fractions 3691/488,4369/2350 is 1/573400

Least Common Multiple of 488,2350 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 488,2350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,2350) = 2

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

GCF(488,2350) x common factors =2 x 1 = 2

LCM(488,2350) = ( 488 × 2350 ) / 2

LCM(488,2350) = 1146800 / 2

LCM(488,2350) = 573400

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FAQs on GCF of Fractions of 3691/488, 4369/2350

1. What is the HCF of 3691,4369?

The HCF of 3691,4369 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 3691/488, 4369/2350?

Answer: GCF of Numerators as per given numbers 3691/488, 4369/2350 is

GCF of Numerators i.e. for 3691,4369 is 1

LCM of denominators i.e. for 488,2350 is 573400.

Thus, GCF of Fractions is 1/573400.Finally, GCF of Fractions for 3691/488, 4369/2350 is 1/573400.