How to Find GCF of 7890/367, 4090/8202?

GCF of 7890/367, 4090/8202

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 7890/367, 4090/8202 i.e 10/3010134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7890/367, 4090/8202.

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 7890/367,4090/8202?

Given fractions are 7890/367,4090/8202

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 7890/367,4090/8202, numerators are 7890,4090

Denominators are 367,8202

The GCF of 7890,4090 is 10 .

LCM of 367,8202 is 3010134.

The greatest common factor of 7890/367,4090/8202 = [GCF of 7890,4090]/[LCM of 367,8202]= 10/3010134

Therefore, the GCF of 7890/367,4090/8202 is 10/3010134.

Greatest Common Factor of 7890,4090

To find the highest common factor of 7890,4090, we have to find the factors of both numbers and list the highest common factor.

The factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890

The factors of 4090 are 1, 2, 5, 10, 409, 818, 2045, 4090

The HCF of 7890,4090 is 10.

Lets's calculate GCF of 7890,4090

Greatest Common Factor (GCF) of 7890,4090 By Common Division

2	7890, 4090
5	3945, 2045
	789, 409

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

Greatest Common Factor of 7890,4090 By Matching Biggest Common Factor Method

Now, list down the factors of 7890

1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890

Now, list down the factors of 4090

1,2,5,10,409,818,2045,4090

Greatest Common Factor

We found the factors 7890,4090 . The biggest common factor number is the GCF number.
So the greatest common factor 7890,4090 is 10.

Lets's calculate LCM of 367,8202

Lowest Common Multiple of 367,8202 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3010134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3010134

Therefore, the GCF of Fractions 7890/367,4090/8202 is 10/3010134

Least Common Multiple of 367,8202 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 367,8202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,8202) = 1

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

GCF(367,8202) x common factors =1 x 1 = 1

LCM(367,8202) = ( 367 × 8202 ) / 1

LCM(367,8202) = 3010134 / 1

LCM(367,8202) = 3010134

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FAQs on GCF of Fractions of 7890/367, 4090/8202

1. What is the HCF of 7890,4090?

The HCF of 7890,4090 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 7890/367, 4090/8202?

Answer: GCF of Numerators as per given numbers 7890/367, 4090/8202 is

GCF of Numerators i.e. for 7890,4090 is 10

LCM of denominators i.e. for 367,8202 is 3010134.

Thus, GCF of Fractions is 10/3010134.Finally, GCF of Fractions for 7890/367, 4090/8202 is 10/3010134.