How to Find GCF of 7447/684, 8833/6743?

GCF of 7447/684, 8833/6743

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 7447/684, 8833/6743 i.e 11/4612212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7447/684, 8833/6743.

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 7447/684,8833/6743?

Given fractions are 7447/684,8833/6743

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 7447/684,8833/6743, numerators are 7447,8833

Denominators are 684,6743

The GCF of 7447,8833 is 11 .

LCM of 684,6743 is 4612212.

The greatest common factor of 7447/684,8833/6743 = [GCF of 7447,8833]/[LCM of 684,6743]= 11/4612212

Therefore, the GCF of 7447/684,8833/6743 is 11/4612212.

Greatest Common Factor of 7447,8833

To find the highest common factor of 7447,8833, we have to find the factors of both numbers and list the highest common factor.

The factors of 7447 are 1, 11, 677, 7447

The factors of 8833 are 1, 11, 73, 121, 803, 8833

The HCF of 7447,8833 is 11.

Lets's calculate GCF of 7447,8833

Greatest Common Factor (GCF) of 7447,8833 By Common Division

11	7447, 8833
	677, 803

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 7447,8833 By Matching Biggest Common Factor Method

Now, list down the factors of 7447

1,11,677,7447

Now, list down the factors of 8833

1,11,73,121,803,8833

Greatest Common Factor

We found the factors 7447,8833 . The biggest common factor number is the GCF number.
So the greatest common factor 7447,8833 is 11.

Lets's calculate LCM of 684,6743

Lowest Common Multiple of 684,6743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4612212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4612212

Therefore, the GCF of Fractions 7447/684,8833/6743 is 11/4612212

Least Common Multiple of 684,6743 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 684,6743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,6743) = 1

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

GCF(684,6743) x common factors =1 x 1 = 1

LCM(684,6743) = ( 684 × 6743 ) / 1

LCM(684,6743) = 4612212 / 1

LCM(684,6743) = 4612212

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7447/684, 8833/6743

1. What is the HCF of 7447,8833?

The HCF of 7447,8833 is 11

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 7447/684, 8833/6743?

Answer: GCF of Numerators as per given numbers 7447/684, 8833/6743 is

GCF of Numerators i.e. for 7447,8833 is 11

LCM of denominators i.e. for 684,6743 is 4612212.

Thus, GCF of Fractions is 11/4612212.Finally, GCF of Fractions for 7447/684, 8833/6743 is 11/4612212.