Greatest Common Factor of 207/80, 428/51, 345/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 207/80, 428/51, 345/635

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 207/80,428/51,345/635

Given fractions are 207/80,428/51,345/635

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 207,428,345

Greatest Common Factor of Numerators i.e. GCF of 207,428,345 is 1 .

LCM of Denominators means LCM of 80,51,635 as per the given fractions.

LCM of 80,51,635 is 518160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 207,428,345

GCF of Fractions 207/80,428/51,345/635 is 1/518160

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

Greatest Common Factor of 207,428,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,428,345 By Matching Biggest Common Factor Method

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 207,428,345 . The biggest common factor number is the GCF number.
So the greatest common factor 207,428,345 is 1.

Lets's calculate LCM of 80,51,635

5 80, 51, 635
16, 51, 127

∴ So the LCM of the given numbers is 5 x 16 x 51 x 127 = 518160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/518160

Therefore, the GCF of Fractions 207/80,428/51,345/635 is 1/518160

Least Common Multiple of 80,51,635 with GCF Formula

Least Common Multiple of 80,51,635 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 80,51,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,51,635) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(80,51,635) x common factors =1 x 5 = 5

LCM(80,51,635) = ( 80 × 51 × 635 ) / 5

LCM(80,51,635) = 2590800 / 5

LCM(80,51,635) = 518160


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 207/80, 428/51, 345/635

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 207/80, 428/51, 345/635?

Answer: GCF of Numerators as per given numbers 207/80, 428/51, 345/635 is

GCF of Numerators i.e. for 207,428,345 is 1

LCM of denominators i.e. for 80,51,635 is 518160.

Thus, GCF of Fractions is 1/518160.Finally, GCF of Fractions for 207/80, 428/51, 345/635 is 1/518160.