How to Find GCF of 4108/319, 1033/2391?

GCF of 4108/319, 1033/2391

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 4108/319, 1033/2391 i.e 1/762729 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4108/319, 1033/2391.

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 4108/319,1033/2391?

Given fractions are 4108/319,1033/2391

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 4108/319,1033/2391, numerators are 4108,1033

Denominators are 319,2391

The GCF of 4108,1033 is 1 .

LCM of 319,2391 is 762729.

The greatest common factor of 4108/319,1033/2391 = [GCF of 4108,1033]/[LCM of 319,2391]= 1/762729

Therefore, the GCF of 4108/319,1033/2391 is 1/762729.

Greatest Common Factor of 4108,1033

To find the highest common factor of 4108,1033, we have to find the factors of both numbers and list the highest common factor.

The factors of 4108 are 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108

The factors of 1033 are 1, 1033

The HCF of 4108,1033 is 1.

Lets's calculate GCF of 4108,1033

Greatest Common Factor (GCF) of 4108,1033 By Common Division

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

Greatest Common Factor of 4108,1033 By Matching Biggest Common Factor Method

Now, list down the factors of 4108

1,2,4,13,26,52,79,158,316,1027,2054,4108

Now, list down the factors of 1033

1,1033

Greatest Common Factor

We found the factors 4108,1033 . The biggest common factor number is the GCF number.
So the greatest common factor 4108,1033 is 1.

Lets's calculate LCM of 319,2391

Lowest Common Multiple of 319,2391 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 762729

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/762729

Therefore, the GCF of Fractions 4108/319,1033/2391 is 1/762729

Least Common Multiple of 319,2391 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 319,2391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,2391) = 1

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

GCF(319,2391) x common factors =1 x 1 = 1

LCM(319,2391) = ( 319 × 2391 ) / 1

LCM(319,2391) = 762729 / 1

LCM(319,2391) = 762729

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FAQs on GCF of Fractions of 4108/319, 1033/2391

1. What is the HCF of 4108,1033?

The HCF of 4108,1033 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 4108/319, 1033/2391?

Answer: GCF of Numerators as per given numbers 4108/319, 1033/2391 is

GCF of Numerators i.e. for 4108,1033 is 1

LCM of denominators i.e. for 319,2391 is 762729.

Thus, GCF of Fractions is 1/762729.Finally, GCF of Fractions for 4108/319, 1033/2391 is 1/762729.