How to Find GCF of 1265/944, 7407/1350?

GCF of 1265/944, 7407/1350

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 1265/944, 7407/1350 i.e 1/637200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1265/944, 7407/1350.

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 1265/944,7407/1350?

Given fractions are 1265/944,7407/1350

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 1265/944,7407/1350, numerators are 1265,7407

Denominators are 944,1350

The GCF of 1265,7407 is 1 .

LCM of 944,1350 is 637200.

The greatest common factor of 1265/944,7407/1350 = [GCF of 1265,7407]/[LCM of 944,1350]= 1/637200

Therefore, the GCF of 1265/944,7407/1350 is 1/637200.

Greatest Common Factor of 1265,7407

To find the highest common factor of 1265,7407, we have to find the factors of both numbers and list the highest common factor.

The factors of 1265 are 1, 5, 11, 23, 55, 115, 253, 1265

The factors of 7407 are 1, 3, 9, 823, 2469, 7407

The HCF of 1265,7407 is 1.

Lets's calculate GCF of 1265,7407

Greatest Common Factor (GCF) of 1265,7407 By Common Division

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

Greatest Common Factor of 1265,7407 By Matching Biggest Common Factor Method

Now, list down the factors of 1265

1,5,11,23,55,115,253,1265

Now, list down the factors of 7407

1,3,9,823,2469,7407

Greatest Common Factor

We found the factors 1265,7407 . The biggest common factor number is the GCF number.
So the greatest common factor 1265,7407 is 1.

Lets's calculate LCM of 944,1350

Lowest Common Multiple of 944,1350 using Common Division

2	944, 1350
	472, 675

∴ So the LCM of the given numbers is 2 x 472 x 675 = 637200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637200

Therefore, the GCF of Fractions 1265/944,7407/1350 is 1/637200

Least Common Multiple of 944,1350 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 944,1350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,1350) = 2

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

GCF(944,1350) x common factors =2 x 1 = 2

LCM(944,1350) = ( 944 × 1350 ) / 2

LCM(944,1350) = 1274400 / 2

LCM(944,1350) = 637200

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1265/944, 7407/1350

1. What is the HCF of 1265,7407?

The HCF of 1265,7407 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 1265/944, 7407/1350?

Answer: GCF of Numerators as per given numbers 1265/944, 7407/1350 is

GCF of Numerators i.e. for 1265,7407 is 1

LCM of denominators i.e. for 944,1350 is 637200.

Thus, GCF of Fractions is 1/637200.Finally, GCF of Fractions for 1265/944, 7407/1350 is 1/637200.