How to Find GCF of 7131/550, 5845/653?

GCF of 7131/550, 5845/653

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 7131/550, 5845/653 i.e 1/359150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7131/550, 5845/653.

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 7131/550,5845/653?

Given fractions are 7131/550,5845/653

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 7131/550,5845/653, numerators are 7131,5845

Denominators are 550,653

The GCF of 7131,5845 is 1 .

LCM of 550,653 is 359150.

The greatest common factor of 7131/550,5845/653 = [GCF of 7131,5845]/[LCM of 550,653]= 1/359150

Therefore, the GCF of 7131/550,5845/653 is 1/359150.

Greatest Common Factor of 7131,5845

To find the highest common factor of 7131,5845, we have to find the factors of both numbers and list the highest common factor.

The factors of 7131 are 1, 3, 2377, 7131

The factors of 5845 are 1, 5, 7, 35, 167, 835, 1169, 5845

The HCF of 7131,5845 is 1.

Lets's calculate GCF of 7131,5845

Greatest Common Factor (GCF) of 7131,5845 By Common Division

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

Greatest Common Factor of 7131,5845 By Matching Biggest Common Factor Method

Now, list down the factors of 7131

1,3,2377,7131

Now, list down the factors of 5845

1,5,7,35,167,835,1169,5845

Greatest Common Factor

We found the factors 7131,5845 . The biggest common factor number is the GCF number.
So the greatest common factor 7131,5845 is 1.

Lets's calculate LCM of 550,653

Lowest Common Multiple of 550,653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 359150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359150

Therefore, the GCF of Fractions 7131/550,5845/653 is 1/359150

Least Common Multiple of 550,653 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 550,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,653) = 1

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

GCF(550,653) x common factors =1 x 1 = 1

LCM(550,653) = ( 550 × 653 ) / 1

LCM(550,653) = 359150 / 1

LCM(550,653) = 359150

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FAQs on GCF of Fractions of 7131/550, 5845/653

1. What is the HCF of 7131,5845?

The HCF of 7131,5845 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 7131/550, 5845/653?

Answer: GCF of Numerators as per given numbers 7131/550, 5845/653 is

GCF of Numerators i.e. for 7131,5845 is 1

LCM of denominators i.e. for 550,653 is 359150.

Thus, GCF of Fractions is 1/359150.Finally, GCF of Fractions for 7131/550, 5845/653 is 1/359150.