Greatest Common Factor of 997/32, 772/42, 762/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 997/32, 772/42, 762/382

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 997/32,772/42,762/382

Given fractions are 997/32,772/42,762/382

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 997,772,762

Greatest Common Factor of Numerators i.e. GCF of 997,772,762 is 1 .

LCM of Denominators means LCM of 32,42,382 as per the given fractions.

LCM of 32,42,382 is 128352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 997,772,762

GCF of Fractions 997/32,772/42,762/382 is 1/128352

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

Greatest Common Factor of 997,772,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,772,762 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 997,772,762 . The biggest common factor number is the GCF number.
So the greatest common factor 997,772,762 is 1.

Lets's calculate LCM of 32,42,382

2 32, 42, 382
16, 21, 191

∴ So the LCM of the given numbers is 2 x 16 x 21 x 191 = 128352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128352

Therefore, the GCF of Fractions 997/32,772/42,762/382 is 1/128352

Least Common Multiple of 32,42,382 with GCF Formula

Least Common Multiple of 32,42,382 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 32,42,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,42,382) = 2

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

GCF(32,42,382) x common factors =2 x 2 = 4

LCM(32,42,382) = ( 32 × 42 × 382 ) / 4

LCM(32,42,382) = 513408 / 4

LCM(32,42,382) = 128352


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 997/32, 772/42, 762/382

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 997/32, 772/42, 762/382?

Answer: GCF of Numerators as per given numbers 997/32, 772/42, 762/382 is

GCF of Numerators i.e. for 997,772,762 is 1

LCM of denominators i.e. for 32,42,382 is 128352.

Thus, GCF of Fractions is 1/128352.Finally, GCF of Fractions for 997/32, 772/42, 762/382 is 1/128352.