How to Find GCF of 67/62, 742/85, 447/423?

GCF of 67/62, 742/85, 447/423

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 67/62, 742/85, 447/423 i.e 1/2229210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/62, 742/85, 447/423.

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 67/62,742/85,447/423?

Given fractions are 67/62,742/85,447/423

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 67/62,742/85,447/423, numerators are 67,742,447

Denominators are 62,85,423

The GCF of 67,742,447 is 1 .

LCM of 62,85,423 is 2229210.

The greatest common factor of 67/62,742/85,447/423 = [GCF of 67,742,447]/[LCM of 62,85,423]= 1/2229210

Therefore, the GCF of 67/62,742/85,447/423 is 1/2229210.

Greatest Common Factor of 67,742,447

To find the highest common factor of 67,742,447, 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 742 are 1, 2, 7, 14, 53, 106, 371, 742

The factors of 447 are 1, 3, 149, 447

The HCF of 67,742,447 is 1.

Lets's calculate GCF of 67,742,447

Greatest Common Factor (GCF) of 67,742,447 By Common Division

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

Greatest Common Factor of 67,742,447 By Matching Biggest Common Factor Method

Now, list down the factors of 67

1,67

Now, list down the factors of 742

1,2,7,14,53,106,371,742

Now, list down the factors of 447

1,3,149,447

Greatest Common Factor

We found the factors 67,742,447 . The biggest common factor number is the GCF number.
So the greatest common factor 67,742,447 is 1.

Lets's calculate LCM of 62,85,423

Lowest Common Multiple of 62,85,423 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2229210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2229210

Therefore, the GCF of Fractions 67/62,742/85,447/423 is 1/2229210

Least Common Multiple of 62,85,423 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 62,85,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,85,423) = 1

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

GCF(62,85,423) x common factors =1 x 1 = 1

LCM(62,85,423) = ( 62 × 85 × 423 ) / 1

LCM(62,85,423) = 2229210 / 1

LCM(62,85,423) = 2229210

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 67/62, 742/85, 447/423

1. What is the HCF of 67,742,447?

The HCF of 67,742,447 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 67/62, 742/85, 447/423?

Answer: GCF of Numerators as per given numbers 67/62, 742/85, 447/423 is

GCF of Numerators i.e. for 67,742,447 is 1

LCM of denominators i.e. for 62,85,423 is 2229210.

Thus, GCF of Fractions is 1/2229210.Finally, GCF of Fractions for 67/62, 742/85, 447/423 is 1/2229210.