How to Find GCF of 7799/338, 6214/6912?

GCF of 7799/338, 6214/6912

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 7799/338, 6214/6912 i.e 1/1168128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7799/338, 6214/6912.

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 7799/338,6214/6912?

Given fractions are 7799/338,6214/6912

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 7799/338,6214/6912, numerators are 7799,6214

Denominators are 338,6912

The GCF of 7799,6214 is 1 .

LCM of 338,6912 is 1168128.

The greatest common factor of 7799/338,6214/6912 = [GCF of 7799,6214]/[LCM of 338,6912]= 1/1168128

Therefore, the GCF of 7799/338,6214/6912 is 1/1168128.

Greatest Common Factor of 7799,6214

To find the highest common factor of 7799,6214, we have to find the factors of both numbers and list the highest common factor.

The factors of 7799 are 1, 11, 709, 7799

The factors of 6214 are 1, 2, 13, 26, 239, 478, 3107, 6214

The HCF of 7799,6214 is 1.

Lets's calculate GCF of 7799,6214

Greatest Common Factor (GCF) of 7799,6214 By Common Division

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

Greatest Common Factor of 7799,6214 By Matching Biggest Common Factor Method

Now, list down the factors of 7799

1,11,709,7799

Now, list down the factors of 6214

1,2,13,26,239,478,3107,6214

Greatest Common Factor

We found the factors 7799,6214 . The biggest common factor number is the GCF number.
So the greatest common factor 7799,6214 is 1.

Lets's calculate LCM of 338,6912

Lowest Common Multiple of 338,6912 using Common Division

2	338, 6912
	169, 3456

∴ So the LCM of the given numbers is 2 x 169 x 3456 = 1168128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1168128

Therefore, the GCF of Fractions 7799/338,6214/6912 is 1/1168128

Least Common Multiple of 338,6912 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 338,6912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,6912) = 2

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

GCF(338,6912) x common factors =2 x 1 = 2

LCM(338,6912) = ( 338 × 6912 ) / 2

LCM(338,6912) = 2336256 / 2

LCM(338,6912) = 1168128

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FAQs on GCF of Fractions of 7799/338, 6214/6912

1. What is the HCF of 7799,6214?

The HCF of 7799,6214 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 7799/338, 6214/6912?

Answer: GCF of Numerators as per given numbers 7799/338, 6214/6912 is

GCF of Numerators i.e. for 7799,6214 is 1

LCM of denominators i.e. for 338,6912 is 1168128.

Thus, GCF of Fractions is 1/1168128.Finally, GCF of Fractions for 7799/338, 6214/6912 is 1/1168128.