How to Find GCF of 78/908, 734/332, 762/684?

GCF of 78/908, 734/332, 762/684

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 78/908, 734/332, 762/684 i.e 2/12887244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/908, 734/332, 762/684.

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 78/908,734/332,762/684?

Given fractions are 78/908,734/332,762/684

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 78/908,734/332,762/684, numerators are 78,734,762

Denominators are 908,332,684

The GCF of 78,734,762 is 2 .

LCM of 908,332,684 is 12887244.

The greatest common factor of 78/908,734/332,762/684 = [GCF of 78,734,762]/[LCM of 908,332,684]= 2/12887244

Therefore, the GCF of 78/908,734/332,762/684 is 2/12887244.

Greatest Common Factor of 78,734,762

To find the highest common factor of 78,734,762, we have to find the factors of both numbers and list the highest common factor.

The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78

The factors of 734 are 1, 2, 367, 734

The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762

The HCF of 78,734,762 is 2.

Lets's calculate GCF of 78,734,762

Greatest Common Factor (GCF) of 78,734,762 By Common Division

2	78, 734, 762
	39, 367, 381

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

Greatest Common Factor of 78,734,762 By Matching Biggest Common Factor Method

Now, list down the factors of 78

1,2,3,6,13,26,39,78

Now, list down the factors of 734

1,2,367,734

Now, list down the factors of 762

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 78,734,762 . The biggest common factor number is the GCF number.
So the greatest common factor 78,734,762 is 2.

Lets's calculate LCM of 908,332,684

Lowest Common Multiple of 908,332,684 using Common Division

2	908, 332, 684
2	454, 166, 342
	227, 83, 171

∴ So the LCM of the given numbers is 2 x 2 x 227 x 83 x 171 = 12887244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12887244

Therefore, the GCF of Fractions 78/908,734/332,762/684 is 2/12887244

Least Common Multiple of 908,332,684 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 908,332,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,332,684) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(908,332,684) x common factors =4 x 4 = 16

LCM(908,332,684) = ( 908 × 332 × 684 ) / 16

LCM(908,332,684) = 206195904 / 16

LCM(908,332,684) = 12887244

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 78/908, 734/332, 762/684

1. What is the HCF of 78,734,762?

The HCF of 78,734,762 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 78/908, 734/332, 762/684?

Answer: GCF of Numerators as per given numbers 78/908, 734/332, 762/684 is

GCF of Numerators i.e. for 78,734,762 is 2

LCM of denominators i.e. for 908,332,684 is 12887244.

Thus, GCF of Fractions is 2/12887244.Finally, GCF of Fractions for 78/908, 734/332, 762/684 is 2/12887244.