Greatest Common Factor of 3/77, 45/69, 48/183, 917/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/77, 45/69, 48/183, 917/689

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 3/77,45/69,48/183,917/689

Given fractions are 3/77,45/69,48/183,917/689

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 3,45,48,917

Greatest Common Factor of Numerators i.e. GCF of 3,45,48,917 is 1 .

LCM of Denominators means LCM of 77,69,183,689 as per the given fractions.

LCM of 77,69,183,689 is 223300077 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,45,48,917

GCF of Fractions 3/77,45/69,48/183,917/689 is 1/223300077

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

Greatest Common Factor of 3,45,48,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,45,48,917 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 3,45,48,917 . The biggest common factor number is the GCF number.
So the greatest common factor 3,45,48,917 is 1.

Lets's calculate LCM of 77,69,183,689

3 77, 69, 183, 689
77, 23, 61, 689

∴ So the LCM of the given numbers is 3 x 77 x 23 x 61 x 689 = 223300077

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223300077

Therefore, the GCF of Fractions 3/77,45/69,48/183,917/689 is 1/223300077

Least Common Multiple of 77,69,183,689 with GCF Formula

Least Common Multiple of 77,69,183,689 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 77,69,183,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,69,183,689) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(77,69,183,689) x common factors =1 x 3 = 3

LCM(77,69,183,689) = ( 77 × 69 × 183 × 689 ) / 3

LCM(77,69,183,689) = 669900231 / 3

LCM(77,69,183,689) = 223300077


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 3/77, 45/69, 48/183, 917/689

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 3/77, 45/69, 48/183, 917/689?

Answer: GCF of Numerators as per given numbers 3/77, 45/69, 48/183, 917/689 is

GCF of Numerators i.e. for 3,45,48,917 is 1

LCM of denominators i.e. for 77,69,183,689 is 223300077.

Thus, GCF of Fractions is 1/223300077.Finally, GCF of Fractions for 3/77, 45/69, 48/183, 917/689 is 1/223300077.