Greatest Common Factor of 1/43, 49/35, 40/999, 252/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/43, 49/35, 40/999, 252/950

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 1/43,49/35,40/999,252/950

Given fractions are 1/43,49/35,40/999,252/950

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 1,49,40,252

Greatest Common Factor of Numerators i.e. GCF of 1,49,40,252 is 1 .

LCM of Denominators means LCM of 43,35,999,950 as per the given fractions.

LCM of 43,35,999,950 is 285664050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,49,40,252

GCF of Fractions 1/43,49/35,40/999,252/950 is 1/285664050

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

Greatest Common Factor of 1,49,40,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,49,40,252 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 1,49,40,252 . The biggest common factor number is the GCF number.
So the greatest common factor 1,49,40,252 is 1.

Lets's calculate LCM of 43,35,999,950

5 43, 35, 999, 950
43, 7, 999, 190

∴ So the LCM of the given numbers is 5 x 43 x 7 x 999 x 190 = 285664050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285664050

Therefore, the GCF of Fractions 1/43,49/35,40/999,252/950 is 1/285664050

Least Common Multiple of 43,35,999,950 with GCF Formula

Least Common Multiple of 43,35,999,950 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 43,35,999,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,35,999,950) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(43,35,999,950) x common factors =1 x 5 = 5

LCM(43,35,999,950) = ( 43 × 35 × 999 × 950 ) / 5

LCM(43,35,999,950) = 1428320250 / 5

LCM(43,35,999,950) = 285664050


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 1/43, 49/35, 40/999, 252/950

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 1/43, 49/35, 40/999, 252/950?

Answer: GCF of Numerators as per given numbers 1/43, 49/35, 40/999, 252/950 is

GCF of Numerators i.e. for 1,49,40,252 is 1

LCM of denominators i.e. for 43,35,999,950 is 285664050.

Thus, GCF of Fractions is 1/285664050.Finally, GCF of Fractions for 1/43, 49/35, 40/999, 252/950 is 1/285664050.