LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 730/75, 526/184

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 730/75, 526/184 i.e 2/13800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 730/75, 526/184.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 730/75,526/184?

Given fractions are 730/75,526/184

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 730/75,526/184, numerators are 730,526

Denominators are 75,184

The GCF of 730,526 is 2 .

LCM of 75,184 is 13800.

The greatest common factor of 730/75,526/184 = [GCF of 730,526]/[LCM of 75,184]= 2/13800

Therefore, the GCF of 730/75,526/184 is 2/13800.

Greatest Common Factor of 730,526

To find the highest common factor of 730,526, we have to find the factors of both numbers and list the highest common factor.

The factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730

The factors of 526 are 1, 2, 263, 526

The HCF of 730,526 is 2.

Lets's calculate GCF of 730,526

Greatest Common Factor (GCF) of 730,526 By Common Division

2 730, 526
365, 263

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 730,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,526 By Matching Biggest Common Factor Method

Now, list down the factors of 730

:

1,2,5,10,73,146,365,730

Now, list down the factors of 526

:

1,2,263,526

Greatest Common Factor

We found the factors 730,526 . The biggest common factor number is the GCF number.
So the greatest common factor 730,526 is 2.

Lets's calculate LCM of 75,184

Lowest Common Multiple of 75,184 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 13800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13800

Therefore, the GCF of Fractions 730/75,526/184 is 2/13800

Least Common Multiple of 75,184 with GCF Formula

Least Common Multiple of 75,184 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 75,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,184) = 1

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

GCF(75,184) x common factors =1 x 1 = 1

LCM(75,184) = ( 75 × 184 ) / 1

LCM(75,184) = 13800 / 1

LCM(75,184) = 13800


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 730/75, 526/184

1. What is the HCF of 730,526?

The HCF of 730,526 is 2

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 730/75, 526/184?

Answer: GCF of Numerators as per given numbers 730/75, 526/184 is

GCF of Numerators i.e. for 730,526 is 2

LCM of denominators i.e. for 75,184 is 13800.

Thus, GCF of Fractions is 2/13800.Finally, GCF of Fractions for 730/75, 526/184 is 2/13800.