How to Find GCF of 40/73, 982/88, 726/709?

GCF of 40/73, 982/88, 726/709

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 40/73, 982/88, 726/709 i.e 2/4554616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/73, 982/88, 726/709.

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 40/73,982/88,726/709?

Given fractions are 40/73,982/88,726/709

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 40/73,982/88,726/709, numerators are 40,982,726

Denominators are 73,88,709

The GCF of 40,982,726 is 2 .

LCM of 73,88,709 is 4554616.

The greatest common factor of 40/73,982/88,726/709 = [GCF of 40,982,726]/[LCM of 73,88,709]= 2/4554616

Therefore, the GCF of 40/73,982/88,726/709 is 2/4554616.

Greatest Common Factor of 40,982,726

To find the highest common factor of 40,982,726, we have to find the factors of both numbers and list the highest common factor.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 982 are 1, 2, 491, 982

The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

The HCF of 40,982,726 is 2.

Lets's calculate GCF of 40,982,726

Greatest Common Factor (GCF) of 40,982,726 By Common Division

2	40, 982, 726
	20, 491, 363

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

Greatest Common Factor of 40,982,726 By Matching Biggest Common Factor Method

Now, list down the factors of 40

1,2,4,5,8,10,20,40

Now, list down the factors of 982

1,2,491,982

Now, list down the factors of 726

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 40,982,726 . The biggest common factor number is the GCF number.
So the greatest common factor 40,982,726 is 2.

Lets's calculate LCM of 73,88,709

Lowest Common Multiple of 73,88,709 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4554616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4554616

Therefore, the GCF of Fractions 40/73,982/88,726/709 is 2/4554616

Least Common Multiple of 73,88,709 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 73,88,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,88,709) = 1

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

GCF(73,88,709) x common factors =1 x 1 = 1

LCM(73,88,709) = ( 73 × 88 × 709 ) / 1

LCM(73,88,709) = 4554616 / 1

LCM(73,88,709) = 4554616

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 40/73, 982/88, 726/709

1. What is the HCF of 40,982,726?

The HCF of 40,982,726 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 40/73, 982/88, 726/709?

Answer: GCF of Numerators as per given numbers 40/73, 982/88, 726/709 is

GCF of Numerators i.e. for 40,982,726 is 2

LCM of denominators i.e. for 73,88,709 is 4554616.

Thus, GCF of Fractions is 2/4554616.Finally, GCF of Fractions for 40/73, 982/88, 726/709 is 2/4554616.