Greatest Common Factor of 764/88, 267/74, 290/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 764/88, 267/74, 290/445

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 764/88,267/74,290/445

Given fractions are 764/88,267/74,290/445

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 764,267,290

Greatest Common Factor of Numerators i.e. GCF of 764,267,290 is 1 .

LCM of Denominators means LCM of 88,74,445 as per the given fractions.

LCM of 88,74,445 is 1448920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 764,267,290

GCF of Fractions 764/88,267/74,290/445 is 1/1448920

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

Greatest Common Factor of 764,267,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,267,290 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 764,267,290 . The biggest common factor number is the GCF number.
So the greatest common factor 764,267,290 is 1.

Lets's calculate LCM of 88,74,445

2 88, 74, 445
44, 37, 445

∴ So the LCM of the given numbers is 2 x 44 x 37 x 445 = 1448920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1448920

Therefore, the GCF of Fractions 764/88,267/74,290/445 is 1/1448920

Least Common Multiple of 88,74,445 with GCF Formula

Least Common Multiple of 88,74,445 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 88,74,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,74,445) = 1

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

GCF(88,74,445) x common factors =1 x 2 = 2

LCM(88,74,445) = ( 88 × 74 × 445 ) / 2

LCM(88,74,445) = 2897840 / 2

LCM(88,74,445) = 1448920


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 764/88, 267/74, 290/445

1. 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.

2. What is the GCF of Fractions for 764/88, 267/74, 290/445?

Answer: GCF of Numerators as per given numbers 764/88, 267/74, 290/445 is

GCF of Numerators i.e. for 764,267,290 is 1

LCM of denominators i.e. for 88,74,445 is 1448920.

Thus, GCF of Fractions is 1/1448920.Finally, GCF of Fractions for 764/88, 267/74, 290/445 is 1/1448920.