How to Find GCF of 4273/575, 6886/2703?

GCF of 4273/575, 6886/2703

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 4273/575, 6886/2703 i.e 1/1554225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4273/575, 6886/2703.

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 4273/575,6886/2703?

Given fractions are 4273/575,6886/2703

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 4273/575,6886/2703, numerators are 4273,6886

Denominators are 575,2703

The GCF of 4273,6886 is 1 .

LCM of 575,2703 is 1554225.

The greatest common factor of 4273/575,6886/2703 = [GCF of 4273,6886]/[LCM of 575,2703]= 1/1554225

Therefore, the GCF of 4273/575,6886/2703 is 1/1554225.

Greatest Common Factor of 4273,6886

To find the highest common factor of 4273,6886, we have to find the factors of both numbers and list the highest common factor.

The factors of 4273 are 1, 4273

The factors of 6886 are 1, 2, 11, 22, 313, 626, 3443, 6886

The HCF of 4273,6886 is 1.

Lets's calculate GCF of 4273,6886

Greatest Common Factor (GCF) of 4273,6886 By Common Division

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

Greatest Common Factor of 4273,6886 By Matching Biggest Common Factor Method

Now, list down the factors of 4273

1,4273

Now, list down the factors of 6886

1,2,11,22,313,626,3443,6886

Greatest Common Factor

We found the factors 4273,6886 . The biggest common factor number is the GCF number.
So the greatest common factor 4273,6886 is 1.

Lets's calculate LCM of 575,2703

Lowest Common Multiple of 575,2703 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1554225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1554225

Therefore, the GCF of Fractions 4273/575,6886/2703 is 1/1554225

Least Common Multiple of 575,2703 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 575,2703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,2703) = 1

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

GCF(575,2703) x common factors =1 x 1 = 1

LCM(575,2703) = ( 575 × 2703 ) / 1

LCM(575,2703) = 1554225 / 1

LCM(575,2703) = 1554225

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FAQs on GCF of Fractions of 4273/575, 6886/2703

1. What is the HCF of 4273,6886?

The HCF of 4273,6886 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 4273/575, 6886/2703?

Answer: GCF of Numerators as per given numbers 4273/575, 6886/2703 is

GCF of Numerators i.e. for 4273,6886 is 1

LCM of denominators i.e. for 575,2703 is 1554225.

Thus, GCF of Fractions is 1/1554225.Finally, GCF of Fractions for 4273/575, 6886/2703 is 1/1554225.