How to Find GCF of 21/701, 63/687, 179/687?

GCF of 21/701, 63/687, 179/687

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 21/701, 63/687, 179/687 i.e 1/481587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/701, 63/687, 179/687.

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 21/701,63/687,179/687?

Given fractions are 21/701,63/687,179/687

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 21/701,63/687,179/687, numerators are 21,63,179

Denominators are 701,687,687

The GCF of 21,63,179 is 1 .

LCM of 701,687,687 is 481587.

The greatest common factor of 21/701,63/687,179/687 = [GCF of 21,63,179]/[LCM of 701,687,687]= 1/481587

Therefore, the GCF of 21/701,63/687,179/687 is 1/481587.

Greatest Common Factor of 21,63,179

To find the highest common factor of 21,63,179, we have to find the factors of both numbers and list the highest common factor.

The factors of 21 are 1, 3, 7, 21

The factors of 63 are 1, 3, 7, 9, 21, 63

The factors of 179 are 1, 179

The HCF of 21,63,179 is 1.

Lets's calculate GCF of 21,63,179

Greatest Common Factor (GCF) of 21,63,179 By Common Division

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

Greatest Common Factor of 21,63,179 By Matching Biggest Common Factor Method

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 63

1,3,7,9,21,63

Now, list down the factors of 179

1,179

Greatest Common Factor

We found the factors 21,63,179 . The biggest common factor number is the GCF number.
So the greatest common factor 21,63,179 is 1.

Lets's calculate LCM of 701,687,687

Lowest Common Multiple of 701,687,687 using Common Division

3	701, 687, 687
229	701, 229, 229
	701, 1, 1

∴ So the LCM of the given numbers is 3 x 229 x 701 x 1 x 1 = 481587

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/481587

Therefore, the GCF of Fractions 21/701,63/687,179/687 is 1/481587

Least Common Multiple of 701,687,687 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 701,687,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,687,687) = 1

common factors(in case of two or more numbers have common factors) = 687

GCF(701,687,687) x common factors =1 x 687 = 687

LCM(701,687,687) = ( 701 × 687 × 687 ) / 687

LCM(701,687,687) = 330850269 / 687

LCM(701,687,687) = 481587

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FAQs on GCF of Fractions of 21/701, 63/687, 179/687

1. What is the HCF of 21,63,179?

The HCF of 21,63,179 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 21/701, 63/687, 179/687?

Answer: GCF of Numerators as per given numbers 21/701, 63/687, 179/687 is

GCF of Numerators i.e. for 21,63,179 is 1

LCM of denominators i.e. for 701,687,687 is 481587.

Thus, GCF of Fractions is 1/481587.Finally, GCF of Fractions for 21/701, 63/687, 179/687 is 1/481587.