How to Find GCF of 67/561, 83/918, 277/215?

GCF of 67/561, 83/918, 277/215

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 67/561, 83/918, 277/215 i.e 1/2171070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/561, 83/918, 277/215.

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 67/561,83/918,277/215?

Given fractions are 67/561,83/918,277/215

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 67/561,83/918,277/215, numerators are 67,83,277

Denominators are 561,918,215

The GCF of 67,83,277 is 1 .

LCM of 561,918,215 is 2171070.

The greatest common factor of 67/561,83/918,277/215 = [GCF of 67,83,277]/[LCM of 561,918,215]= 1/2171070

Therefore, the GCF of 67/561,83/918,277/215 is 1/2171070.

Greatest Common Factor of 67,83,277

To find the highest common factor of 67,83,277, we have to find the factors of both numbers and list the highest common factor.

The factors of 67 are 1, 67

The factors of 83 are 1, 83

The factors of 277 are 1, 277

The HCF of 67,83,277 is 1.

Lets's calculate GCF of 67,83,277

Greatest Common Factor (GCF) of 67,83,277 By Common Division

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

Greatest Common Factor of 67,83,277 By Matching Biggest Common Factor Method

Now, list down the factors of 67

1,67

Now, list down the factors of 83

1,83

Now, list down the factors of 277

1,277

Greatest Common Factor

We found the factors 67,83,277 . The biggest common factor number is the GCF number.
So the greatest common factor 67,83,277 is 1.

Lets's calculate LCM of 561,918,215

Lowest Common Multiple of 561,918,215 using Common Division

3	561, 918, 215
17	187, 306, 215
	11, 18, 215

∴ So the LCM of the given numbers is 3 x 17 x 11 x 18 x 215 = 2171070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2171070

Therefore, the GCF of Fractions 67/561,83/918,277/215 is 1/2171070

Least Common Multiple of 561,918,215 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 561,918,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,918,215) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(561,918,215) x common factors =1 x 51 = 51

LCM(561,918,215) = ( 561 × 918 × 215 ) / 51

LCM(561,918,215) = 110724570 / 51

LCM(561,918,215) = 2171070

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 67/561, 83/918, 277/215

1. What is the HCF of 67,83,277?

The HCF of 67,83,277 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 67/561, 83/918, 277/215?

Answer: GCF of Numerators as per given numbers 67/561, 83/918, 277/215 is

GCF of Numerators i.e. for 67,83,277 is 1

LCM of denominators i.e. for 561,918,215 is 2171070.

Thus, GCF of Fractions is 1/2171070.Finally, GCF of Fractions for 67/561, 83/918, 277/215 is 1/2171070.