How to Find GCF of 2600/329, 7048/8118?

GCF of 2600/329, 7048/8118

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 2600/329, 7048/8118 i.e 8/2670822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2600/329, 7048/8118.

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 2600/329,7048/8118?

Given fractions are 2600/329,7048/8118

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 2600/329,7048/8118, numerators are 2600,7048

Denominators are 329,8118

The GCF of 2600,7048 is 8 .

LCM of 329,8118 is 2670822.

The greatest common factor of 2600/329,7048/8118 = [GCF of 2600,7048]/[LCM of 329,8118]= 8/2670822

Therefore, the GCF of 2600/329,7048/8118 is 8/2670822.

Greatest Common Factor of 2600,7048

To find the highest common factor of 2600,7048, we have to find the factors of both numbers and list the highest common factor.

The factors of 2600 are 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600

The factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048

The HCF of 2600,7048 is 8.

Lets's calculate GCF of 2600,7048

Greatest Common Factor (GCF) of 2600,7048 By Common Division

2	2600, 7048
2	1300, 3524
2	650, 1762
	325, 881

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2600,7048 By Matching Biggest Common Factor Method

Now, list down the factors of 2600

1,2,4,5,8,10,13,20,25,26,40,50,52,65,100,104,130,200,260,325,520,650,1300,2600

Now, list down the factors of 7048

1,2,4,8,881,1762,3524,7048

Greatest Common Factor

We found the factors 2600,7048 . The biggest common factor number is the GCF number.
So the greatest common factor 2600,7048 is 8.

Lets's calculate LCM of 329,8118

Lowest Common Multiple of 329,8118 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2670822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2670822

Therefore, the GCF of Fractions 2600/329,7048/8118 is 8/2670822

Least Common Multiple of 329,8118 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 329,8118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,8118) = 1

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

GCF(329,8118) x common factors =1 x 1 = 1

LCM(329,8118) = ( 329 × 8118 ) / 1

LCM(329,8118) = 2670822 / 1

LCM(329,8118) = 2670822

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FAQs on GCF of Fractions of 2600/329, 7048/8118

1. What is the HCF of 2600,7048?

The HCF of 2600,7048 is 8

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 2600/329, 7048/8118?

Answer: GCF of Numerators as per given numbers 2600/329, 7048/8118 is

GCF of Numerators i.e. for 2600,7048 is 8

LCM of denominators i.e. for 329,8118 is 2670822.

Thus, GCF of Fractions is 8/2670822.Finally, GCF of Fractions for 2600/329, 7048/8118 is 8/2670822.