Greatest Common Factor of 7/45, 19/32, 10/770, 299/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/45, 19/32, 10/770, 299/576

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 7/45,19/32,10/770,299/576

Given fractions are 7/45,19/32,10/770,299/576

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 7,19,10,299

Greatest Common Factor of Numerators i.e. GCF of 7,19,10,299 is 1 .

LCM of Denominators means LCM of 45,32,770,576 as per the given fractions.

LCM of 45,32,770,576 is 221760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,19,10,299

GCF of Fractions 7/45,19/32,10/770,299/576 is 1/221760

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

Greatest Common Factor of 7,19,10,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,19,10,299 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 7,19,10,299 . The biggest common factor number is the GCF number.
So the greatest common factor 7,19,10,299 is 1.

Lets's calculate LCM of 45,32,770,576

2 45, 32, 770, 576
2 45, 16, 385, 288
2 45, 8, 385, 144
2 45, 4, 385, 72
2 45, 2, 385, 36
3 45, 1, 385, 18
3 15, 1, 385, 6
5 5, 1, 385, 2
1, 1, 77, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 1 x 1 x 77 x 2 = 221760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221760

Therefore, the GCF of Fractions 7/45,19/32,10/770,299/576 is 1/221760

Least Common Multiple of 45,32,770,576 with GCF Formula

Least Common Multiple of 45,32,770,576 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 45,32,770,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,32,770,576) = 1

common factors(in case of two or more numbers have common factors) = 2880

GCF(45,32,770,576) x common factors =1 x 2880 = 2880

LCM(45,32,770,576) = ( 45 × 32 × 770 × 576 ) / 2880

LCM(45,32,770,576) = 638668800 / 2880

LCM(45,32,770,576) = 221760


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 7/45, 19/32, 10/770, 299/576

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 7/45, 19/32, 10/770, 299/576?

Answer: GCF of Numerators as per given numbers 7/45, 19/32, 10/770, 299/576 is

GCF of Numerators i.e. for 7,19,10,299 is 1

LCM of denominators i.e. for 45,32,770,576 is 221760.

Thus, GCF of Fractions is 1/221760.Finally, GCF of Fractions for 7/45, 19/32, 10/770, 299/576 is 1/221760.