How to Find GCF of 5326/683, 1105/4892?

GCF of 5326/683, 1105/4892

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 5326/683, 1105/4892 i.e 1/3341236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5326/683, 1105/4892.

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 5326/683,1105/4892?

Given fractions are 5326/683,1105/4892

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 5326/683,1105/4892, numerators are 5326,1105

Denominators are 683,4892

The GCF of 5326,1105 is 1 .

LCM of 683,4892 is 3341236.

The greatest common factor of 5326/683,1105/4892 = [GCF of 5326,1105]/[LCM of 683,4892]= 1/3341236

Therefore, the GCF of 5326/683,1105/4892 is 1/3341236.

Greatest Common Factor of 5326,1105

To find the highest common factor of 5326,1105, we have to find the factors of both numbers and list the highest common factor.

The factors of 5326 are 1, 2, 2663, 5326

The factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105

The HCF of 5326,1105 is 1.

Lets's calculate GCF of 5326,1105

Greatest Common Factor (GCF) of 5326,1105 By Common Division

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

Greatest Common Factor of 5326,1105 By Matching Biggest Common Factor Method

Now, list down the factors of 5326

1,2,2663,5326

Now, list down the factors of 1105

1,5,13,17,65,85,221,1105

Greatest Common Factor

We found the factors 5326,1105 . The biggest common factor number is the GCF number.
So the greatest common factor 5326,1105 is 1.

Lets's calculate LCM of 683,4892

Lowest Common Multiple of 683,4892 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3341236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3341236

Therefore, the GCF of Fractions 5326/683,1105/4892 is 1/3341236

Least Common Multiple of 683,4892 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 683,4892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,4892) = 1

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

GCF(683,4892) x common factors =1 x 1 = 1

LCM(683,4892) = ( 683 × 4892 ) / 1

LCM(683,4892) = 3341236 / 1

LCM(683,4892) = 3341236

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FAQs on GCF of Fractions of 5326/683, 1105/4892

1. What is the HCF of 5326,1105?

The HCF of 5326,1105 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 5326/683, 1105/4892?

Answer: GCF of Numerators as per given numbers 5326/683, 1105/4892 is

GCF of Numerators i.e. for 5326,1105 is 1

LCM of denominators i.e. for 683,4892 is 3341236.

Thus, GCF of Fractions is 1/3341236.Finally, GCF of Fractions for 5326/683, 1105/4892 is 1/3341236.