How to Find GCF of 60/207, 78/160, 794/712?

GCF of 60/207, 78/160, 794/712

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 60/207, 78/160, 794/712 i.e 2/2947680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/207, 78/160, 794/712.

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 60/207,78/160,794/712?

Given fractions are 60/207,78/160,794/712

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 60/207,78/160,794/712, numerators are 60,78,794

Denominators are 207,160,712

The GCF of 60,78,794 is 2 .

LCM of 207,160,712 is 2947680.

The greatest common factor of 60/207,78/160,794/712 = [GCF of 60,78,794]/[LCM of 207,160,712]= 2/2947680

Therefore, the GCF of 60/207,78/160,794/712 is 2/2947680.

Greatest Common Factor of 60,78,794

To find the highest common factor of 60,78,794, we have to find the factors of both numbers and list the highest common factor.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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

The factors of 794 are 1, 2, 397, 794

The HCF of 60,78,794 is 2.

Lets's calculate GCF of 60,78,794

Greatest Common Factor (GCF) of 60,78,794 By Common Division

2	60, 78, 794
	30, 39, 397

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

Greatest Common Factor of 60,78,794 By Matching Biggest Common Factor Method

Now, list down the factors of 60

1,2,3,4,5,6,10,12,15,20,30,60

Now, list down the factors of 78

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

Now, list down the factors of 794

1,2,397,794

Greatest Common Factor

We found the factors 60,78,794 . The biggest common factor number is the GCF number.
So the greatest common factor 60,78,794 is 2.

Lets's calculate LCM of 207,160,712

Lowest Common Multiple of 207,160,712 using Common Division

2	207, 160, 712
2	207, 80, 356
2	207, 40, 178
	207, 20, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 207 x 20 x 89 = 2947680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2947680

Therefore, the GCF of Fractions 60/207,78/160,794/712 is 2/2947680

Least Common Multiple of 207,160,712 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 207,160,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,160,712) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(207,160,712) x common factors =1 x 8 = 8

LCM(207,160,712) = ( 207 × 160 × 712 ) / 8

LCM(207,160,712) = 23581440 / 8

LCM(207,160,712) = 2947680

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 60/207, 78/160, 794/712

1. What is the HCF of 60,78,794?

The HCF of 60,78,794 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 60/207, 78/160, 794/712?

Answer: GCF of Numerators as per given numbers 60/207, 78/160, 794/712 is

GCF of Numerators i.e. for 60,78,794 is 2

LCM of denominators i.e. for 207,160,712 is 2947680.

Thus, GCF of Fractions is 2/2947680.Finally, GCF of Fractions for 60/207, 78/160, 794/712 is 2/2947680.