Greatest Common Factor of 690/672, 6902/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 690/672, 6902/674

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 690/672,6902/674

Given fractions are 690/672,6902/674

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 690,6902

Greatest Common Factor of Numerators i.e. GCF of 690,6902 is 2 .

LCM of Denominators means LCM of 672,674 as per the given fractions.

LCM of 672,674 is 226464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 690,6902

GCF of Fractions 690/672,6902/674 is 2/226464

2 690, 6902
345, 3451

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 690,6902 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,6902 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 6902

List of positive integer factors of 6902 that divides 6902 without a remainder.

1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902

Greatest Common Factor

We found the factors 690,6902 . The biggest common factor number is the GCF number.
So the greatest common factor 690,6902 is 2.

Lets's calculate LCM of 672,674

2 672, 674
336, 337

∴ So the LCM of the given numbers is 2 x 336 x 337 = 226464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/226464

Therefore, the GCF of Fractions 690/672,6902/674 is 2/226464

Least Common Multiple of 672,674 with GCF Formula

Least Common Multiple of 672,674 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 672,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,674) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(672,674) x common factors =2 x 1 = 2

LCM(672,674) = ( 672 × 674 ) / 2

LCM(672,674) = 452928 / 2

LCM(672,674) = 226464


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 690/672, 6902/674

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 690/672, 6902/674?

Answer: GCF of Numerators as per given numbers 690/672, 6902/674 is

GCF of Numerators i.e. for 690,6902 is 2

LCM of denominators i.e. for 672,674 is 226464.

Thus, GCF of Fractions is 2/226464.Finally, GCF of Fractions for 690/672, 6902/674 is 2/226464.