How to Find GCF of 670/421, 803/990, 173/921?

GCF of 670/421, 803/990, 173/921

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 670/421, 803/990, 173/921 i.e 1/127954530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 670/421, 803/990, 173/921.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 670/421,803/990,173/921?

Given fractions are 670/421,803/990,173/921

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 670/421,803/990,173/921, numerators are 670,803,173

Denominators are 421,990,921

The GCF of 670,803,173 is 1 .

LCM of 421,990,921 is 127954530.

The greatest common factor of 670/421,803/990,173/921 = [GCF of 670,803,173]/[LCM of 421,990,921]= 1/127954530

Therefore, the GCF of 670/421,803/990,173/921 is 1/127954530.

Greatest Common Factor of 670,803,173

To find the highest common factor of 670,803,173, we have to find the factors of both numbers and list the highest common factor.

The factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670

The factors of 803 are 1, 11, 73, 803

The factors of 173 are 1, 173

The HCF of 670,803,173 is 1.

Lets's calculate GCF of 670,803,173

Greatest Common Factor (GCF) of 670,803,173 By Common Division

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

Greatest Common Factor of 670,803,173 By Matching Biggest Common Factor Method

Now, list down the factors of 670

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

Now, list down the factors of 803

1,11,73,803

Now, list down the factors of 173

1,173

Greatest Common Factor

We found the factors 670,803,173 . The biggest common factor number is the GCF number.
So the greatest common factor 670,803,173 is 1.

Lets's calculate LCM of 421,990,921

Lowest Common Multiple of 421,990,921 using Common Division

3	421, 990, 921
	421, 330, 307

∴ So the LCM of the given numbers is 3 x 421 x 330 x 307 = 127954530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127954530

Therefore, the GCF of Fractions 670/421,803/990,173/921 is 1/127954530

Least Common Multiple of 421,990,921 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 421,990,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,990,921) = 1

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

GCF(421,990,921) x common factors =1 x 3 = 3

LCM(421,990,921) = ( 421 × 990 × 921 ) / 3

LCM(421,990,921) = 383863590 / 3

LCM(421,990,921) = 127954530

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 670/421, 803/990, 173/921

1. What is the HCF of 670,803,173?

The HCF of 670,803,173 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 670/421, 803/990, 173/921?

Answer: GCF of Numerators as per given numbers 670/421, 803/990, 173/921 is

GCF of Numerators i.e. for 670,803,173 is 1

LCM of denominators i.e. for 421,990,921 is 127954530.

Thus, GCF of Fractions is 1/127954530.Finally, GCF of Fractions for 670/421, 803/990, 173/921 is 1/127954530.