Greatest Common Factor of 1/78, 67/420, 55/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/78, 67/420, 55/315

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1/78,67/420,55/315

Given fractions are 1/78,67/420,55/315

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1,67,55

Greatest Common Factor of Numerators i.e. GCF of 1,67,55 is 1 .

LCM of Denominators means LCM of 78,420,315 as per the given fractions.

LCM of 78,420,315 is 16380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,67,55

GCF of Fractions 1/78,67/420,55/315 is 1/16380

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

Greatest Common Factor of 1,67,55 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,67,55 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Greatest Common Factor

We found the factors 1,67,55 . The biggest common factor number is the GCF number.
So the greatest common factor 1,67,55 is 1.

Lets's calculate LCM of 78,420,315

2 78, 420, 315
3 39, 210, 315
5 13, 70, 105
7 13, 14, 21
13, 2, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 13 x 2 x 3 = 16380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16380

Therefore, the GCF of Fractions 1/78,67/420,55/315 is 1/16380

Least Common Multiple of 78,420,315 with GCF Formula

Least Common Multiple of 78,420,315 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 78,420,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,420,315) = 3

common factors(in case of two or more numbers have common factors) = 210

GCF(78,420,315) x common factors =3 x 210 = 630

LCM(78,420,315) = ( 78 × 420 × 315 ) / 630

LCM(78,420,315) = 10319400 / 630

LCM(78,420,315) = 16380


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1/78, 67/420, 55/315

1. 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.

2. What is the GCF of Fractions for 1/78, 67/420, 55/315?

Answer: GCF of Numerators as per given numbers 1/78, 67/420, 55/315 is

GCF of Numerators i.e. for 1,67,55 is 1

LCM of denominators i.e. for 78,420,315 is 16380.

Thus, GCF of Fractions is 1/16380.Finally, GCF of Fractions for 1/78, 67/420, 55/315 is 1/16380.