Greatest Common Factor of 487/28, 971/96, 505/67

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 487/28, 971/96, 505/67

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 487/28,971/96,505/67

Given fractions are 487/28,971/96,505/67

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 487,971,505

Greatest Common Factor of Numerators i.e. GCF of 487,971,505 is 1 .

LCM of Denominators means LCM of 28,96,67 as per the given fractions.

LCM of 28,96,67 is 45024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 487,971,505

GCF of Fractions 487/28,971/96,505/67 is 1/45024

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

Greatest Common Factor of 487,971,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,971,505 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 487,971,505 . The biggest common factor number is the GCF number.
So the greatest common factor 487,971,505 is 1.

Lets's calculate LCM of 28,96,67

2 28, 96, 67
2 14, 48, 67
7, 24, 67

∴ So the LCM of the given numbers is 2 x 2 x 7 x 24 x 67 = 45024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45024

Therefore, the GCF of Fractions 487/28,971/96,505/67 is 1/45024

Least Common Multiple of 28,96,67 with GCF Formula

Least Common Multiple of 28,96,67 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 28,96,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,96,67) = 1

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

GCF(28,96,67) x common factors =1 x 4 = 4

LCM(28,96,67) = ( 28 × 96 × 67 ) / 4

LCM(28,96,67) = 180096 / 4

LCM(28,96,67) = 45024


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 487/28, 971/96, 505/67

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 487/28, 971/96, 505/67?

Answer: GCF of Numerators as per given numbers 487/28, 971/96, 505/67 is

GCF of Numerators i.e. for 487,971,505 is 1

LCM of denominators i.e. for 28,96,67 is 45024.

Thus, GCF of Fractions is 1/45024.Finally, GCF of Fractions for 487/28, 971/96, 505/67 is 1/45024.