How to Find GCF of 67/40, 765/41, 467/381?

GCF of 67/40, 765/41, 467/381

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 67/40, 765/41, 467/381 i.e 1/624840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/40, 765/41, 467/381.

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 67/40,765/41,467/381?

Given fractions are 67/40,765/41,467/381

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 67/40,765/41,467/381, numerators are 67,765,467

Denominators are 40,41,381

The GCF of 67,765,467 is 1 .

LCM of 40,41,381 is 624840.

The greatest common factor of 67/40,765/41,467/381 = [GCF of 67,765,467]/[LCM of 40,41,381]= 1/624840

Therefore, the GCF of 67/40,765/41,467/381 is 1/624840.

Greatest Common Factor of 67,765,467

To find the highest common factor of 67,765,467, 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 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

The factors of 467 are 1, 467

The HCF of 67,765,467 is 1.

Lets's calculate GCF of 67,765,467

Greatest Common Factor (GCF) of 67,765,467 By Common Division

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

Greatest Common Factor of 67,765,467 By Matching Biggest Common Factor Method

Now, list down the factors of 67

1,67

Now, list down the factors of 765

1,3,5,9,15,17,45,51,85,153,255,765

Now, list down the factors of 467

1,467

Greatest Common Factor

We found the factors 67,765,467 . The biggest common factor number is the GCF number.
So the greatest common factor 67,765,467 is 1.

Lets's calculate LCM of 40,41,381

Lowest Common Multiple of 40,41,381 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 624840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/624840

Therefore, the GCF of Fractions 67/40,765/41,467/381 is 1/624840

Least Common Multiple of 40,41,381 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 40,41,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,41,381) = 1

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

GCF(40,41,381) x common factors =1 x 1 = 1

LCM(40,41,381) = ( 40 × 41 × 381 ) / 1

LCM(40,41,381) = 624840 / 1

LCM(40,41,381) = 624840

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 67/40, 765/41, 467/381

1. What is the HCF of 67,765,467?

The HCF of 67,765,467 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 67/40, 765/41, 467/381?

Answer: GCF of Numerators as per given numbers 67/40, 765/41, 467/381 is

GCF of Numerators i.e. for 67,765,467 is 1

LCM of denominators i.e. for 40,41,381 is 624840.

Thus, GCF of Fractions is 1/624840.Finally, GCF of Fractions for 67/40, 765/41, 467/381 is 1/624840.