How to Find GCF of 1343/818, 2695/9125?

GCF of 1343/818, 2695/9125

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 1343/818, 2695/9125 i.e 1/7464250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1343/818, 2695/9125.

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 1343/818,2695/9125?

Given fractions are 1343/818,2695/9125

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 1343/818,2695/9125, numerators are 1343,2695

Denominators are 818,9125

The GCF of 1343,2695 is 1 .

LCM of 818,9125 is 7464250.

The greatest common factor of 1343/818,2695/9125 = [GCF of 1343,2695]/[LCM of 818,9125]= 1/7464250

Therefore, the GCF of 1343/818,2695/9125 is 1/7464250.

Greatest Common Factor of 1343,2695

To find the highest common factor of 1343,2695, we have to find the factors of both numbers and list the highest common factor.

The factors of 1343 are 1, 17, 79, 1343

The factors of 2695 are 1, 5, 7, 11, 35, 49, 55, 77, 245, 385, 539, 2695

The HCF of 1343,2695 is 1.

Lets's calculate GCF of 1343,2695

Greatest Common Factor (GCF) of 1343,2695 By Common Division

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

Greatest Common Factor of 1343,2695 By Matching Biggest Common Factor Method

Now, list down the factors of 1343

1,17,79,1343

Now, list down the factors of 2695

1,5,7,11,35,49,55,77,245,385,539,2695

Greatest Common Factor

We found the factors 1343,2695 . The biggest common factor number is the GCF number.
So the greatest common factor 1343,2695 is 1.

Lets's calculate LCM of 818,9125

Lowest Common Multiple of 818,9125 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7464250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7464250

Therefore, the GCF of Fractions 1343/818,2695/9125 is 1/7464250

Least Common Multiple of 818,9125 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 818,9125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,9125) = 1

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

GCF(818,9125) x common factors =1 x 1 = 1

LCM(818,9125) = ( 818 × 9125 ) / 1

LCM(818,9125) = 7464250 / 1

LCM(818,9125) = 7464250

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FAQs on GCF of Fractions of 1343/818, 2695/9125

1. What is the HCF of 1343,2695?

The HCF of 1343,2695 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 1343/818, 2695/9125?

Answer: GCF of Numerators as per given numbers 1343/818, 2695/9125 is

GCF of Numerators i.e. for 1343,2695 is 1

LCM of denominators i.e. for 818,9125 is 7464250.

Thus, GCF of Fractions is 1/7464250.Finally, GCF of Fractions for 1343/818, 2695/9125 is 1/7464250.