How to Find GCF of 6799/250, 3612/1040?

GCF of 6799/250, 3612/1040

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 6799/250, 3612/1040 i.e 1/26000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6799/250, 3612/1040.

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 6799/250,3612/1040?

Given fractions are 6799/250,3612/1040

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 6799/250,3612/1040, numerators are 6799,3612

Denominators are 250,1040

The GCF of 6799,3612 is 1 .

LCM of 250,1040 is 26000.

The greatest common factor of 6799/250,3612/1040 = [GCF of 6799,3612]/[LCM of 250,1040]= 1/26000

Therefore, the GCF of 6799/250,3612/1040 is 1/26000.

Greatest Common Factor of 6799,3612

To find the highest common factor of 6799,3612, we have to find the factors of both numbers and list the highest common factor.

The factors of 6799 are 1, 13, 523, 6799

The factors of 3612 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612

The HCF of 6799,3612 is 1.

Lets's calculate GCF of 6799,3612

Greatest Common Factor (GCF) of 6799,3612 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6799,3612 By Matching Biggest Common Factor Method

Now, list down the factors of 6799

1,13,523,6799

Now, list down the factors of 3612

1,2,3,4,6,7,12,14,21,28,42,43,84,86,129,172,258,301,516,602,903,1204,1806,3612

Greatest Common Factor

We found the factors 6799,3612 . The biggest common factor number is the GCF number.
So the greatest common factor 6799,3612 is 1.

Lets's calculate LCM of 250,1040

Lowest Common Multiple of 250,1040 using Common Division

2	250, 1040
5	125, 520
	25, 104

∴ So the LCM of the given numbers is 2 x 5 x 25 x 104 = 26000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26000

Therefore, the GCF of Fractions 6799/250,3612/1040 is 1/26000

Least Common Multiple of 250,1040 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 250,1040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,1040) = 10

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

GCF(250,1040) x common factors =10 x 1 = 10

LCM(250,1040) = ( 250 × 1040 ) / 10

LCM(250,1040) = 260000 / 10

LCM(250,1040) = 26000

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6799/250, 3612/1040

1. What is the HCF of 6799,3612?

The HCF of 6799,3612 is 1

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 6799/250, 3612/1040?

Answer: GCF of Numerators as per given numbers 6799/250, 3612/1040 is

GCF of Numerators i.e. for 6799,3612 is 1

LCM of denominators i.e. for 250,1040 is 26000.

Thus, GCF of Fractions is 1/26000.Finally, GCF of Fractions for 6799/250, 3612/1040 is 1/26000.