Greatest Common Factor of 39/93, 46/78, 670/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/93, 46/78, 670/437

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 39/93,46/78,670/437

Given fractions are 39/93,46/78,670/437

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 39,46,670

Greatest Common Factor of Numerators i.e. GCF of 39,46,670 is 1 .

LCM of Denominators means LCM of 93,78,437 as per the given fractions.

LCM of 93,78,437 is 1056666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,46,670

GCF of Fractions 39/93,46/78,670/437 is 1/1056666

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

Greatest Common Factor of 39,46,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,46,670 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 39,46,670 . The biggest common factor number is the GCF number.
So the greatest common factor 39,46,670 is 1.

Lets's calculate LCM of 93,78,437

3 93, 78, 437
31, 26, 437

∴ So the LCM of the given numbers is 3 x 31 x 26 x 437 = 1056666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1056666

Therefore, the GCF of Fractions 39/93,46/78,670/437 is 1/1056666

Least Common Multiple of 93,78,437 with GCF Formula

Least Common Multiple of 93,78,437 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 93,78,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,78,437) = 1

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

GCF(93,78,437) x common factors =1 x 3 = 3

LCM(93,78,437) = ( 93 × 78 × 437 ) / 3

LCM(93,78,437) = 3169998 / 3

LCM(93,78,437) = 1056666


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 39/93, 46/78, 670/437

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 39/93, 46/78, 670/437?

Answer: GCF of Numerators as per given numbers 39/93, 46/78, 670/437 is

GCF of Numerators i.e. for 39,46,670 is 1

LCM of denominators i.e. for 93,78,437 is 1056666.

Thus, GCF of Fractions is 1/1056666.Finally, GCF of Fractions for 39/93, 46/78, 670/437 is 1/1056666.