How to Find GCF of 78/357, 67/143, 488/116?

GCF of 78/357, 67/143, 488/116

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 78/357, 67/143, 488/116 i.e 1/5921916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/357, 67/143, 488/116.

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 78/357,67/143,488/116?

Given fractions are 78/357,67/143,488/116

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 78/357,67/143,488/116, numerators are 78,67,488

Denominators are 357,143,116

The GCF of 78,67,488 is 1 .

LCM of 357,143,116 is 5921916.

The greatest common factor of 78/357,67/143,488/116 = [GCF of 78,67,488]/[LCM of 357,143,116]= 1/5921916

Therefore, the GCF of 78/357,67/143,488/116 is 1/5921916.

Greatest Common Factor of 78,67,488

To find the highest common factor of 78,67,488, 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 67 are 1, 67

The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488

The HCF of 78,67,488 is 1.

Lets's calculate GCF of 78,67,488

Greatest Common Factor (GCF) of 78,67,488 By Common Division

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

Greatest Common Factor of 78,67,488 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 67

1,67

Now, list down the factors of 488

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 78,67,488 . The biggest common factor number is the GCF number.
So the greatest common factor 78,67,488 is 1.

Lets's calculate LCM of 357,143,116

Lowest Common Multiple of 357,143,116 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5921916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5921916

Therefore, the GCF of Fractions 78/357,67/143,488/116 is 1/5921916

Least Common Multiple of 357,143,116 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 357,143,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,143,116) = 1

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

GCF(357,143,116) x common factors =1 x 1 = 1

LCM(357,143,116) = ( 357 × 143 × 116 ) / 1

LCM(357,143,116) = 5921916 / 1

LCM(357,143,116) = 5921916

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FAQs on GCF of Fractions of 78/357, 67/143, 488/116

1. What is the HCF of 78,67,488?

The HCF of 78,67,488 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 78/357, 67/143, 488/116?

Answer: GCF of Numerators as per given numbers 78/357, 67/143, 488/116 is

GCF of Numerators i.e. for 78,67,488 is 1

LCM of denominators i.e. for 357,143,116 is 5921916.

Thus, GCF of Fractions is 1/5921916.Finally, GCF of Fractions for 78/357, 67/143, 488/116 is 1/5921916.