How to Find GCF of 40/250, 9390/4429?

GCF of 40/250, 9390/4429

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 40/250, 9390/4429 i.e 10/1107250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/250, 9390/4429.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 40/250,9390/4429?

Given fractions are 40/250,9390/4429

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 40/250,9390/4429, numerators are 40,9390

Denominators are 250,4429

The GCF of 40,9390 is 10 .

LCM of 250,4429 is 1107250.

The greatest common factor of 40/250,9390/4429 = [GCF of 40,9390]/[LCM of 250,4429]= 10/1107250

Therefore, the GCF of 40/250,9390/4429 is 10/1107250.

Greatest Common Factor of 40,9390

To find the highest common factor of 40,9390, we have to find the factors of both numbers and list the highest common factor.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 9390 are 1, 2, 3, 5, 6, 10, 15, 30, 313, 626, 939, 1565, 1878, 3130, 4695, 9390

The HCF of 40,9390 is 10.

Lets's calculate GCF of 40,9390

Greatest Common Factor (GCF) of 40,9390 By Common Division

2	40, 9390
5	20, 4695
	4, 939

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 40,9390 By Matching Biggest Common Factor Method

Now, list down the factors of 40

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

Now, list down the factors of 9390

1,2,3,5,6,10,15,30,313,626,939,1565,1878,3130,4695,9390

Greatest Common Factor

We found the factors 40,9390 . The biggest common factor number is the GCF number.
So the greatest common factor 40,9390 is 10.

Lets's calculate LCM of 250,4429

Lowest Common Multiple of 250,4429 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1107250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1107250

Therefore, the GCF of Fractions 40/250,9390/4429 is 10/1107250

Least Common Multiple of 250,4429 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 250,4429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,4429) = 1

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

GCF(250,4429) x common factors =1 x 1 = 1

LCM(250,4429) = ( 250 × 4429 ) / 1

LCM(250,4429) = 1107250 / 1

LCM(250,4429) = 1107250

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FAQs on GCF of Fractions of 40/250, 9390/4429

1. What is the HCF of 40,9390?

The HCF of 40,9390 is 10

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 40/250, 9390/4429?

Answer: GCF of Numerators as per given numbers 40/250, 9390/4429 is

GCF of Numerators i.e. for 40,9390 is 10

LCM of denominators i.e. for 250,4429 is 1107250.

Thus, GCF of Fractions is 10/1107250.Finally, GCF of Fractions for 40/250, 9390/4429 is 10/1107250.