How to Find GCF of 743/10, 528/8186?

GCF of 743/10, 528/8186

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 743/10, 528/8186 i.e 1/40930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 743/10, 528/8186.

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 743/10,528/8186?

Given fractions are 743/10,528/8186

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 743/10,528/8186, numerators are 743,528

Denominators are 10,8186

The GCF of 743,528 is 1 .

LCM of 10,8186 is 40930.

The greatest common factor of 743/10,528/8186 = [GCF of 743,528]/[LCM of 10,8186]= 1/40930

Therefore, the GCF of 743/10,528/8186 is 1/40930.

Greatest Common Factor of 743,528

To find the highest common factor of 743,528, we have to find the factors of both numbers and list the highest common factor.

The factors of 743 are 1, 743

The factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

The HCF of 743,528 is 1.

Lets's calculate GCF of 743,528

Greatest Common Factor (GCF) of 743,528 By Common Division

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

Greatest Common Factor of 743,528 By Matching Biggest Common Factor Method

Now, list down the factors of 743

1,743

Now, list down the factors of 528

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 743,528 . The biggest common factor number is the GCF number.
So the greatest common factor 743,528 is 1.

Lets's calculate LCM of 10,8186

Lowest Common Multiple of 10,8186 using Common Division

2	10, 8186
	5, 4093

∴ So the LCM of the given numbers is 2 x 5 x 4093 = 40930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40930

Therefore, the GCF of Fractions 743/10,528/8186 is 1/40930

Least Common Multiple of 10,8186 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 10,8186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,8186) = 2

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

GCF(10,8186) x common factors =2 x 1 = 2

LCM(10,8186) = ( 10 × 8186 ) / 2

LCM(10,8186) = 81860 / 2

LCM(10,8186) = 40930

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FAQs on GCF of Fractions of 743/10, 528/8186

1. What is the HCF of 743,528?

The HCF of 743,528 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 743/10, 528/8186?

Answer: GCF of Numerators as per given numbers 743/10, 528/8186 is

GCF of Numerators i.e. for 743,528 is 1

LCM of denominators i.e. for 10,8186 is 40930.

Thus, GCF of Fractions is 1/40930.Finally, GCF of Fractions for 743/10, 528/8186 is 1/40930.