How to Find GCF of 1213/236, 7262/5604?

GCF of 1213/236, 7262/5604

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 1213/236, 7262/5604 i.e 1/330636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1213/236, 7262/5604.

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 1213/236,7262/5604?

Given fractions are 1213/236,7262/5604

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 1213/236,7262/5604, numerators are 1213,7262

Denominators are 236,5604

The GCF of 1213,7262 is 1 .

LCM of 236,5604 is 330636.

The greatest common factor of 1213/236,7262/5604 = [GCF of 1213,7262]/[LCM of 236,5604]= 1/330636

Therefore, the GCF of 1213/236,7262/5604 is 1/330636.

Greatest Common Factor of 1213,7262

To find the highest common factor of 1213,7262, we have to find the factors of both numbers and list the highest common factor.

The factors of 1213 are 1, 1213

The factors of 7262 are 1, 2, 3631, 7262

The HCF of 1213,7262 is 1.

Lets's calculate GCF of 1213,7262

Greatest Common Factor (GCF) of 1213,7262 By Common Division

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

Greatest Common Factor of 1213,7262 By Matching Biggest Common Factor Method

Now, list down the factors of 1213

1,1213

Now, list down the factors of 7262

1,2,3631,7262

Greatest Common Factor

We found the factors 1213,7262 . The biggest common factor number is the GCF number.
So the greatest common factor 1213,7262 is 1.

Lets's calculate LCM of 236,5604

Lowest Common Multiple of 236,5604 using Common Division

2	236, 5604
2	118, 2802
	59, 1401

∴ So the LCM of the given numbers is 2 x 2 x 59 x 1401 = 330636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330636

Therefore, the GCF of Fractions 1213/236,7262/5604 is 1/330636

Least Common Multiple of 236,5604 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 236,5604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,5604) = 4

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

GCF(236,5604) x common factors =4 x 1 = 4

LCM(236,5604) = ( 236 × 5604 ) / 4

LCM(236,5604) = 1322544 / 4

LCM(236,5604) = 330636

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1213/236, 7262/5604

1. What is the HCF of 1213,7262?

The HCF of 1213,7262 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 1213/236, 7262/5604?

Answer: GCF of Numerators as per given numbers 1213/236, 7262/5604 is

GCF of Numerators i.e. for 1213,7262 is 1

LCM of denominators i.e. for 236,5604 is 330636.

Thus, GCF of Fractions is 1/330636.Finally, GCF of Fractions for 1213/236, 7262/5604 is 1/330636.