How to Find GCF of 84/561, 13/281, 630/211?

GCF of 84/561, 13/281, 630/211

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 84/561, 13/281, 630/211 i.e 1/33262251 easily. The following is the detailed procedure to determine the greatest common factor of fractions 84/561, 13/281, 630/211.

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 84/561,13/281,630/211?

Given fractions are 84/561,13/281,630/211

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 84/561,13/281,630/211, numerators are 84,13,630

Denominators are 561,281,211

The GCF of 84,13,630 is 1 .

LCM of 561,281,211 is 33262251.

The greatest common factor of 84/561,13/281,630/211 = [GCF of 84,13,630]/[LCM of 561,281,211]= 1/33262251

Therefore, the GCF of 84/561,13/281,630/211 is 1/33262251.

Greatest Common Factor of 84,13,630

To find the highest common factor of 84,13,630, we have to find the factors of both numbers and list the highest common factor.

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 13 are 1, 13

The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

The HCF of 84,13,630 is 1.

Lets's calculate GCF of 84,13,630

Greatest Common Factor (GCF) of 84,13,630 By Common Division

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

Greatest Common Factor of 84,13,630 By Matching Biggest Common Factor Method

Now, list down the factors of 84

1,2,3,4,6,7,12,14,21,28,42,84

Now, list down the factors of 13

1,13

Now, list down the factors of 630

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 84,13,630 . The biggest common factor number is the GCF number.
So the greatest common factor 84,13,630 is 1.

Lets's calculate LCM of 561,281,211

Lowest Common Multiple of 561,281,211 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 33262251

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33262251

Therefore, the GCF of Fractions 84/561,13/281,630/211 is 1/33262251

Least Common Multiple of 561,281,211 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 561,281,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,281,211) = 1

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

GCF(561,281,211) x common factors =1 x 1 = 1

LCM(561,281,211) = ( 561 × 281 × 211 ) / 1

LCM(561,281,211) = 33262251 / 1

LCM(561,281,211) = 33262251

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 84/561, 13/281, 630/211

1. What is the HCF of 84,13,630?

The HCF of 84,13,630 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 84/561, 13/281, 630/211?

Answer: GCF of Numerators as per given numbers 84/561, 13/281, 630/211 is

GCF of Numerators i.e. for 84,13,630 is 1

LCM of denominators i.e. for 561,281,211 is 33262251.

Thus, GCF of Fractions is 1/33262251.Finally, GCF of Fractions for 84/561, 13/281, 630/211 is 1/33262251.