How to Find GCF of 900/440, 370/428?

GCF of 900/440, 370/428

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 900/440, 370/428 i.e 10/47080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 900/440, 370/428.

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 900/440,370/428?

Given fractions are 900/440,370/428

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 900/440,370/428, numerators are 900,370

Denominators are 440,428

The GCF of 900,370 is 10 .

LCM of 440,428 is 47080.

The greatest common factor of 900/440,370/428 = [GCF of 900,370]/[LCM of 440,428]= 10/47080

Therefore, the GCF of 900/440,370/428 is 10/47080.

Greatest Common Factor of 900,370

To find the highest common factor of 900,370, we have to find the factors of both numbers and list the highest common factor.

The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370

The HCF of 900,370 is 10.

Lets's calculate GCF of 900,370

Greatest Common Factor (GCF) of 900,370 By Common Division

2	900, 370
5	450, 185
	90, 37

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

Greatest Common Factor of 900,370 By Matching Biggest Common Factor Method

Now, list down the factors of 900

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Now, list down the factors of 370

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 900,370 . The biggest common factor number is the GCF number.
So the greatest common factor 900,370 is 10.

Lets's calculate LCM of 440,428

Lowest Common Multiple of 440,428 using Common Division

2	440, 428
2	220, 214
	110, 107

∴ So the LCM of the given numbers is 2 x 2 x 110 x 107 = 47080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/47080

Therefore, the GCF of Fractions 900/440,370/428 is 10/47080

Least Common Multiple of 440,428 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 440,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,428) = 4

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

GCF(440,428) x common factors =4 x 1 = 4

LCM(440,428) = ( 440 × 428 ) / 4

LCM(440,428) = 188320 / 4

LCM(440,428) = 47080

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 900/440, 370/428

1. What is the HCF of 900,370?

The HCF of 900,370 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 900/440, 370/428?

Answer: GCF of Numerators as per given numbers 900/440, 370/428 is

GCF of Numerators i.e. for 900,370 is 10

LCM of denominators i.e. for 440,428 is 47080.

Thus, GCF of Fractions is 10/47080.Finally, GCF of Fractions for 900/440, 370/428 is 10/47080.