How to Find GCF of 7794/398, 1036/2637?

GCF of 7794/398, 1036/2637

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 7794/398, 1036/2637 i.e 2/1049526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7794/398, 1036/2637.

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 7794/398,1036/2637?

Given fractions are 7794/398,1036/2637

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 7794/398,1036/2637, numerators are 7794,1036

Denominators are 398,2637

The GCF of 7794,1036 is 2 .

LCM of 398,2637 is 1049526.

The greatest common factor of 7794/398,1036/2637 = [GCF of 7794,1036]/[LCM of 398,2637]= 2/1049526

Therefore, the GCF of 7794/398,1036/2637 is 2/1049526.

Greatest Common Factor of 7794,1036

To find the highest common factor of 7794,1036, we have to find the factors of both numbers and list the highest common factor.

The factors of 7794 are 1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794

The factors of 1036 are 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036

The HCF of 7794,1036 is 2.

Lets's calculate GCF of 7794,1036

Greatest Common Factor (GCF) of 7794,1036 By Common Division

2	7794, 1036
	3897, 518

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7794,1036 By Matching Biggest Common Factor Method

Now, list down the factors of 7794

1,2,3,6,9,18,433,866,1299,2598,3897,7794

Now, list down the factors of 1036

1,2,4,7,14,28,37,74,148,259,518,1036

Greatest Common Factor

We found the factors 7794,1036 . The biggest common factor number is the GCF number.
So the greatest common factor 7794,1036 is 2.

Lets's calculate LCM of 398,2637

Lowest Common Multiple of 398,2637 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1049526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1049526

Therefore, the GCF of Fractions 7794/398,1036/2637 is 2/1049526

Least Common Multiple of 398,2637 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 398,2637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,2637) = 1

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

GCF(398,2637) x common factors =1 x 1 = 1

LCM(398,2637) = ( 398 × 2637 ) / 1

LCM(398,2637) = 1049526 / 1

LCM(398,2637) = 1049526

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FAQs on GCF of Fractions of 7794/398, 1036/2637

1. What is the HCF of 7794,1036?

The HCF of 7794,1036 is 2

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 7794/398, 1036/2637?

Answer: GCF of Numerators as per given numbers 7794/398, 1036/2637 is

GCF of Numerators i.e. for 7794,1036 is 2

LCM of denominators i.e. for 398,2637 is 1049526.

Thus, GCF of Fractions is 2/1049526.Finally, GCF of Fractions for 7794/398, 1036/2637 is 2/1049526.