How to Find GCF of 26/740, 54/945, 978/706?

GCF of 26/740, 54/945, 978/706

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 26/740, 54/945, 978/706 i.e 2/49370580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/740, 54/945, 978/706.

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 26/740,54/945,978/706?

Given fractions are 26/740,54/945,978/706

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 26/740,54/945,978/706, numerators are 26,54,978

Denominators are 740,945,706

The GCF of 26,54,978 is 2 .

LCM of 740,945,706 is 49370580.

The greatest common factor of 26/740,54/945,978/706 = [GCF of 26,54,978]/[LCM of 740,945,706]= 2/49370580

Therefore, the GCF of 26/740,54/945,978/706 is 2/49370580.

Greatest Common Factor of 26,54,978

To find the highest common factor of 26,54,978, we have to find the factors of both numbers and list the highest common factor.

The factors of 26 are 1, 2, 13, 26

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978

The HCF of 26,54,978 is 2.

Lets's calculate GCF of 26,54,978

Greatest Common Factor (GCF) of 26,54,978 By Common Division

2	26, 54, 978
	13, 27, 489

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

Greatest Common Factor of 26,54,978 By Matching Biggest Common Factor Method

Now, list down the factors of 26

1,2,13,26

Now, list down the factors of 54

1,2,3,6,9,18,27,54

Now, list down the factors of 978

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 26,54,978 . The biggest common factor number is the GCF number.
So the greatest common factor 26,54,978 is 2.

Lets's calculate LCM of 740,945,706

Lowest Common Multiple of 740,945,706 using Common Division

2	740, 945, 706
5	370, 945, 353
	74, 189, 353

∴ So the LCM of the given numbers is 2 x 5 x 74 x 189 x 353 = 49370580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49370580

Therefore, the GCF of Fractions 26/740,54/945,978/706 is 2/49370580

Least Common Multiple of 740,945,706 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 740,945,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,945,706) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(740,945,706) x common factors =1 x 10 = 10

LCM(740,945,706) = ( 740 × 945 × 706 ) / 10

LCM(740,945,706) = 493705800 / 10

LCM(740,945,706) = 49370580

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 26/740, 54/945, 978/706

1. What is the HCF of 26,54,978?

The HCF of 26,54,978 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 26/740, 54/945, 978/706?

Answer: GCF of Numerators as per given numbers 26/740, 54/945, 978/706 is

GCF of Numerators i.e. for 26,54,978 is 2

LCM of denominators i.e. for 740,945,706 is 49370580.

Thus, GCF of Fractions is 2/49370580.Finally, GCF of Fractions for 26/740, 54/945, 978/706 is 2/49370580.