Greatest Common Factor of 52/714, 670/704, 999/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/714, 670/704, 999/153

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 52/714,670/704,999/153

Given fractions are 52/714,670/704,999/153

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 52,670,999

Greatest Common Factor of Numerators i.e. GCF of 52,670,999 is 1 .

LCM of Denominators means LCM of 714,704,153 as per the given fractions.

LCM of 714,704,153 is 753984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,670,999

GCF of Fractions 52/714,670/704,999/153 is 1/753984

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

Greatest Common Factor of 52,670,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,670,999 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 52,670,999 . The biggest common factor number is the GCF number.
So the greatest common factor 52,670,999 is 1.

Lets's calculate LCM of 714,704,153

2 714, 704, 153
3 357, 352, 153
17 119, 352, 51
7, 352, 3

∴ So the LCM of the given numbers is 2 x 3 x 17 x 7 x 352 x 3 = 753984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/753984

Therefore, the GCF of Fractions 52/714,670/704,999/153 is 1/753984

Least Common Multiple of 714,704,153 with GCF Formula

Least Common Multiple of 714,704,153 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 714,704,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,704,153) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(714,704,153) x common factors =1 x 102 = 102

LCM(714,704,153) = ( 714 × 704 × 153 ) / 102

LCM(714,704,153) = 76906368 / 102

LCM(714,704,153) = 753984


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 52/714, 670/704, 999/153

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 52/714, 670/704, 999/153?

Answer: GCF of Numerators as per given numbers 52/714, 670/704, 999/153 is

GCF of Numerators i.e. for 52,670,999 is 1

LCM of denominators i.e. for 714,704,153 is 753984.

Thus, GCF of Fractions is 1/753984.Finally, GCF of Fractions for 52/714, 670/704, 999/153 is 1/753984.