How to Find GCF of 9026/952, 1209/7603?

GCF of 9026/952, 1209/7603

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 9026/952, 1209/7603 i.e 1/7238056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9026/952, 1209/7603.

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 9026/952,1209/7603?

Given fractions are 9026/952,1209/7603

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 9026/952,1209/7603, numerators are 9026,1209

Denominators are 952,7603

The GCF of 9026,1209 is 1 .

LCM of 952,7603 is 7238056.

The greatest common factor of 9026/952,1209/7603 = [GCF of 9026,1209]/[LCM of 952,7603]= 1/7238056

Therefore, the GCF of 9026/952,1209/7603 is 1/7238056.

Greatest Common Factor of 9026,1209

To find the highest common factor of 9026,1209, we have to find the factors of both numbers and list the highest common factor.

The factors of 9026 are 1, 2, 4513, 9026

The factors of 1209 are 1, 3, 13, 31, 39, 93, 403, 1209

The HCF of 9026,1209 is 1.

Lets's calculate GCF of 9026,1209

Greatest Common Factor (GCF) of 9026,1209 By Common Division

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

Greatest Common Factor of 9026,1209 By Matching Biggest Common Factor Method

Now, list down the factors of 9026

1,2,4513,9026

Now, list down the factors of 1209

1,3,13,31,39,93,403,1209

Greatest Common Factor

We found the factors 9026,1209 . The biggest common factor number is the GCF number.
So the greatest common factor 9026,1209 is 1.

Lets's calculate LCM of 952,7603

Lowest Common Multiple of 952,7603 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7238056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7238056

Therefore, the GCF of Fractions 9026/952,1209/7603 is 1/7238056

Least Common Multiple of 952,7603 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 952,7603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,7603) = 1

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

GCF(952,7603) x common factors =1 x 1 = 1

LCM(952,7603) = ( 952 × 7603 ) / 1

LCM(952,7603) = 7238056 / 1

LCM(952,7603) = 7238056

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9026/952, 1209/7603

1. What is the HCF of 9026,1209?

The HCF of 9026,1209 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 9026/952, 1209/7603?

Answer: GCF of Numerators as per given numbers 9026/952, 1209/7603 is

GCF of Numerators i.e. for 9026,1209 is 1

LCM of denominators i.e. for 952,7603 is 7238056.

Thus, GCF of Fractions is 1/7238056.Finally, GCF of Fractions for 9026/952, 1209/7603 is 1/7238056.