Greatest Common Factor of 699/15, 505/74, 386/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 699/15, 505/74, 386/357

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 699/15,505/74,386/357

Given fractions are 699/15,505/74,386/357

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 699,505,386

Greatest Common Factor of Numerators i.e. GCF of 699,505,386 is 1 .

LCM of Denominators means LCM of 15,74,357 as per the given fractions.

LCM of 15,74,357 is 132090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 699,505,386

GCF of Fractions 699/15,505/74,386/357 is 1/132090

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

Greatest Common Factor of 699,505,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,505,386 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 505

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

1,5,101,505

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 699,505,386 . The biggest common factor number is the GCF number.
So the greatest common factor 699,505,386 is 1.

Lets's calculate LCM of 15,74,357

3 15, 74, 357
5, 74, 119

∴ So the LCM of the given numbers is 3 x 5 x 74 x 119 = 132090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132090

Therefore, the GCF of Fractions 699/15,505/74,386/357 is 1/132090

Least Common Multiple of 15,74,357 with GCF Formula

Least Common Multiple of 15,74,357 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 15,74,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,74,357) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,74,357) x common factors =1 x 3 = 3

LCM(15,74,357) = ( 15 × 74 × 357 ) / 3

LCM(15,74,357) = 396270 / 3

LCM(15,74,357) = 132090


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 699/15, 505/74, 386/357

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 699/15, 505/74, 386/357?

Answer: GCF of Numerators as per given numbers 699/15, 505/74, 386/357 is

GCF of Numerators i.e. for 699,505,386 is 1

LCM of denominators i.e. for 15,74,357 is 132090.

Thus, GCF of Fractions is 1/132090.Finally, GCF of Fractions for 699/15, 505/74, 386/357 is 1/132090.