Greatest Common Factor of 511/267, 925/772, 363/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 511/267, 925/772, 363/170

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 511/267,925/772,363/170

Given fractions are 511/267,925/772,363/170

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 511,925,363

Greatest Common Factor of Numerators i.e. GCF of 511,925,363 is 1 .

LCM of Denominators means LCM of 267,772,170 as per the given fractions.

LCM of 267,772,170 is 17520540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 511,925,363

GCF of Fractions 511/267,925/772,363/170 is 1/17520540

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

Greatest Common Factor of 511,925,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 511,925,363 By Matching Biggest Common Factor Method

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 511,925,363 . The biggest common factor number is the GCF number.
So the greatest common factor 511,925,363 is 1.

Lets's calculate LCM of 267,772,170

2 267, 772, 170
267, 386, 85

∴ So the LCM of the given numbers is 2 x 267 x 386 x 85 = 17520540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17520540

Therefore, the GCF of Fractions 511/267,925/772,363/170 is 1/17520540

Least Common Multiple of 267,772,170 with GCF Formula

Least Common Multiple of 267,772,170 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 267,772,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,772,170) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(267,772,170) x common factors =1 x 2 = 2

LCM(267,772,170) = ( 267 × 772 × 170 ) / 2

LCM(267,772,170) = 35041080 / 2

LCM(267,772,170) = 17520540


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 511/267, 925/772, 363/170

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 511/267, 925/772, 363/170?

Answer: GCF of Numerators as per given numbers 511/267, 925/772, 363/170 is

GCF of Numerators i.e. for 511,925,363 is 1

LCM of denominators i.e. for 267,772,170 is 17520540.

Thus, GCF of Fractions is 1/17520540.Finally, GCF of Fractions for 511/267, 925/772, 363/170 is 1/17520540.