How to Find GCF of 6212/934, 7336/5068?

GCF of 6212/934, 7336/5068

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 6212/934, 7336/5068 i.e 4/2366756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6212/934, 7336/5068.

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 6212/934,7336/5068?

Given fractions are 6212/934,7336/5068

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 6212/934,7336/5068, numerators are 6212,7336

Denominators are 934,5068

The GCF of 6212,7336 is 4 .

LCM of 934,5068 is 2366756.

The greatest common factor of 6212/934,7336/5068 = [GCF of 6212,7336]/[LCM of 934,5068]= 4/2366756

Therefore, the GCF of 6212/934,7336/5068 is 4/2366756.

Greatest Common Factor of 6212,7336

To find the highest common factor of 6212,7336, we have to find the factors of both numbers and list the highest common factor.

The factors of 6212 are 1, 2, 4, 1553, 3106, 6212

The factors of 7336 are 1, 2, 4, 7, 8, 14, 28, 56, 131, 262, 524, 917, 1048, 1834, 3668, 7336

The HCF of 6212,7336 is 4.

Lets's calculate GCF of 6212,7336

Greatest Common Factor (GCF) of 6212,7336 By Common Division

2	6212, 7336
2	3106, 3668
	1553, 1834

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6212,7336 By Matching Biggest Common Factor Method

Now, list down the factors of 6212

1,2,4,1553,3106,6212

Now, list down the factors of 7336

1,2,4,7,8,14,28,56,131,262,524,917,1048,1834,3668,7336

Greatest Common Factor

We found the factors 6212,7336 . The biggest common factor number is the GCF number.
So the greatest common factor 6212,7336 is 4.

Lets's calculate LCM of 934,5068

Lowest Common Multiple of 934,5068 using Common Division

2	934, 5068
	467, 2534

∴ So the LCM of the given numbers is 2 x 467 x 2534 = 2366756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2366756

Therefore, the GCF of Fractions 6212/934,7336/5068 is 4/2366756

Least Common Multiple of 934,5068 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 934,5068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,5068) = 2

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

GCF(934,5068) x common factors =2 x 1 = 2

LCM(934,5068) = ( 934 × 5068 ) / 2

LCM(934,5068) = 4733512 / 2

LCM(934,5068) = 2366756

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6212/934, 7336/5068

1. What is the HCF of 6212,7336?

The HCF of 6212,7336 is 4

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 6212/934, 7336/5068?

Answer: GCF of Numerators as per given numbers 6212/934, 7336/5068 is

GCF of Numerators i.e. for 6212,7336 is 4

LCM of denominators i.e. for 934,5068 is 2366756.

Thus, GCF of Fractions is 4/2366756.Finally, GCF of Fractions for 6212/934, 7336/5068 is 4/2366756.