Greatest Common Factor of 66/892, 41/487, 773/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/892, 41/487, 773/827

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 66/892,41/487,773/827

Given fractions are 66/892,41/487,773/827

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 66,41,773

Greatest Common Factor of Numerators i.e. GCF of 66,41,773 is 1 .

LCM of Denominators means LCM of 892,487,827 as per the given fractions.

LCM of 892,487,827 is 359252108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,41,773

GCF of Fractions 66/892,41/487,773/827 is 1/359252108

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

Greatest Common Factor of 66,41,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,41,773 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 66,41,773 . The biggest common factor number is the GCF number.
So the greatest common factor 66,41,773 is 1.

Lets's calculate LCM of 892,487,827

Given numbers has no common factors except 1. So, there LCM is their product i.e 359252108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359252108

Therefore, the GCF of Fractions 66/892,41/487,773/827 is 1/359252108

Least Common Multiple of 892,487,827 with GCF Formula

Least Common Multiple of 892,487,827 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 892,487,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,487,827) = 1

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

GCF(892,487,827) x common factors =1 x 1 = 1

LCM(892,487,827) = ( 892 × 487 × 827 ) / 1

LCM(892,487,827) = 359252108 / 1

LCM(892,487,827) = 359252108


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 66/892, 41/487, 773/827

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 66/892, 41/487, 773/827?

Answer: GCF of Numerators as per given numbers 66/892, 41/487, 773/827 is

GCF of Numerators i.e. for 66,41,773 is 1

LCM of denominators i.e. for 892,487,827 is 359252108.

Thus, GCF of Fractions is 1/359252108.Finally, GCF of Fractions for 66/892, 41/487, 773/827 is 1/359252108.