How to Find GCF of 1327/740, 9104/1303?

GCF of 1327/740, 9104/1303

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 1327/740, 9104/1303 i.e 1/964220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1327/740, 9104/1303.

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 1327/740,9104/1303?

Given fractions are 1327/740,9104/1303

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 1327/740,9104/1303, numerators are 1327,9104

Denominators are 740,1303

The GCF of 1327,9104 is 1 .

LCM of 740,1303 is 964220.

The greatest common factor of 1327/740,9104/1303 = [GCF of 1327,9104]/[LCM of 740,1303]= 1/964220

Therefore, the GCF of 1327/740,9104/1303 is 1/964220.

Greatest Common Factor of 1327,9104

To find the highest common factor of 1327,9104, we have to find the factors of both numbers and list the highest common factor.

The factors of 1327 are 1, 1327

The factors of 9104 are 1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104

The HCF of 1327,9104 is 1.

Lets's calculate GCF of 1327,9104

Greatest Common Factor (GCF) of 1327,9104 By Common Division

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

Greatest Common Factor of 1327,9104 By Matching Biggest Common Factor Method

Now, list down the factors of 1327

1,1327

Now, list down the factors of 9104

1,2,4,8,16,569,1138,2276,4552,9104

Greatest Common Factor

We found the factors 1327,9104 . The biggest common factor number is the GCF number.
So the greatest common factor 1327,9104 is 1.

Lets's calculate LCM of 740,1303

Lowest Common Multiple of 740,1303 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 964220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/964220

Therefore, the GCF of Fractions 1327/740,9104/1303 is 1/964220

Least Common Multiple of 740,1303 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 740,1303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,1303) = 1

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

GCF(740,1303) x common factors =1 x 1 = 1

LCM(740,1303) = ( 740 × 1303 ) / 1

LCM(740,1303) = 964220 / 1

LCM(740,1303) = 964220

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FAQs on GCF of Fractions of 1327/740, 9104/1303

1. What is the HCF of 1327,9104?

The HCF of 1327,9104 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 1327/740, 9104/1303?

Answer: GCF of Numerators as per given numbers 1327/740, 9104/1303 is

GCF of Numerators i.e. for 1327,9104 is 1

LCM of denominators i.e. for 740,1303 is 964220.

Thus, GCF of Fractions is 1/964220.Finally, GCF of Fractions for 1327/740, 9104/1303 is 1/964220.