How to Find GCF of 5165/826, 7503/1922?

GCF of 5165/826, 7503/1922

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 5165/826, 7503/1922 i.e 1/793786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5165/826, 7503/1922.

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 5165/826,7503/1922?

Given fractions are 5165/826,7503/1922

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 5165/826,7503/1922, numerators are 5165,7503

Denominators are 826,1922

The GCF of 5165,7503 is 1 .

LCM of 826,1922 is 793786.

The greatest common factor of 5165/826,7503/1922 = [GCF of 5165,7503]/[LCM of 826,1922]= 1/793786

Therefore, the GCF of 5165/826,7503/1922 is 1/793786.

Greatest Common Factor of 5165,7503

To find the highest common factor of 5165,7503, we have to find the factors of both numbers and list the highest common factor.

The factors of 5165 are 1, 5, 1033, 5165

The factors of 7503 are 1, 3, 41, 61, 123, 183, 2501, 7503

The HCF of 5165,7503 is 1.

Lets's calculate GCF of 5165,7503

Greatest Common Factor (GCF) of 5165,7503 By Common Division

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

Greatest Common Factor of 5165,7503 By Matching Biggest Common Factor Method

Now, list down the factors of 5165

1,5,1033,5165

Now, list down the factors of 7503

1,3,41,61,123,183,2501,7503

Greatest Common Factor

We found the factors 5165,7503 . The biggest common factor number is the GCF number.
So the greatest common factor 5165,7503 is 1.

Lets's calculate LCM of 826,1922

Lowest Common Multiple of 826,1922 using Common Division

2	826, 1922
	413, 961

∴ So the LCM of the given numbers is 2 x 413 x 961 = 793786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/793786

Therefore, the GCF of Fractions 5165/826,7503/1922 is 1/793786

Least Common Multiple of 826,1922 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 826,1922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,1922) = 2

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

GCF(826,1922) x common factors =2 x 1 = 2

LCM(826,1922) = ( 826 × 1922 ) / 2

LCM(826,1922) = 1587572 / 2

LCM(826,1922) = 793786

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5165/826, 7503/1922

1. What is the HCF of 5165,7503?

The HCF of 5165,7503 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 5165/826, 7503/1922?

Answer: GCF of Numerators as per given numbers 5165/826, 7503/1922 is

GCF of Numerators i.e. for 5165,7503 is 1

LCM of denominators i.e. for 826,1922 is 793786.

Thus, GCF of Fractions is 1/793786.Finally, GCF of Fractions for 5165/826, 7503/1922 is 1/793786.