How to Find GCF of 93/62, 143/74, 267/540?

GCF of 93/62, 143/74, 267/540

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 93/62, 143/74, 267/540 i.e 1/619380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/62, 143/74, 267/540.

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 93/62,143/74,267/540?

Given fractions are 93/62,143/74,267/540

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 93/62,143/74,267/540, numerators are 93,143,267

Denominators are 62,74,540

The GCF of 93,143,267 is 1 .

LCM of 62,74,540 is 619380.

The greatest common factor of 93/62,143/74,267/540 = [GCF of 93,143,267]/[LCM of 62,74,540]= 1/619380

Therefore, the GCF of 93/62,143/74,267/540 is 1/619380.

Greatest Common Factor of 93,143,267

To find the highest common factor of 93,143,267, we have to find the factors of both numbers and list the highest common factor.

The factors of 93 are 1, 3, 31, 93

The factors of 143 are 1, 11, 13, 143

The factors of 267 are 1, 3, 89, 267

The HCF of 93,143,267 is 1.

Lets's calculate GCF of 93,143,267

Greatest Common Factor (GCF) of 93,143,267 By Common Division

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

Greatest Common Factor of 93,143,267 By Matching Biggest Common Factor Method

Now, list down the factors of 93

1,3,31,93

Now, list down the factors of 143

1,11,13,143

Now, list down the factors of 267

1,3,89,267

Greatest Common Factor

We found the factors 93,143,267 . The biggest common factor number is the GCF number.
So the greatest common factor 93,143,267 is 1.

Lets's calculate LCM of 62,74,540

Lowest Common Multiple of 62,74,540 using Common Division

2	62, 74, 540
	31, 37, 270

∴ So the LCM of the given numbers is 2 x 31 x 37 x 270 = 619380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/619380

Therefore, the GCF of Fractions 93/62,143/74,267/540 is 1/619380

Least Common Multiple of 62,74,540 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 62,74,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,74,540) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(62,74,540) x common factors =2 x 2 = 4

LCM(62,74,540) = ( 62 × 74 × 540 ) / 4

LCM(62,74,540) = 2477520 / 4

LCM(62,74,540) = 619380

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 93/62, 143/74, 267/540

1. What is the HCF of 93,143,267?

The HCF of 93,143,267 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 93/62, 143/74, 267/540?

Answer: GCF of Numerators as per given numbers 93/62, 143/74, 267/540 is

GCF of Numerators i.e. for 93,143,267 is 1

LCM of denominators i.e. for 62,74,540 is 619380.

Thus, GCF of Fractions is 1/619380.Finally, GCF of Fractions for 93/62, 143/74, 267/540 is 1/619380.