How to Find GCF of 3160/479, 2912/9596?

GCF of 3160/479, 2912/9596

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 3160/479, 2912/9596 i.e 8/4596484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3160/479, 2912/9596.

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 3160/479,2912/9596?

Given fractions are 3160/479,2912/9596

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 3160/479,2912/9596, numerators are 3160,2912

Denominators are 479,9596

The GCF of 3160,2912 is 8 .

LCM of 479,9596 is 4596484.

The greatest common factor of 3160/479,2912/9596 = [GCF of 3160,2912]/[LCM of 479,9596]= 8/4596484

Therefore, the GCF of 3160/479,2912/9596 is 8/4596484.

Greatest Common Factor of 3160,2912

To find the highest common factor of 3160,2912, we have to find the factors of both numbers and list the highest common factor.

The factors of 3160 are 1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160

The factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912

The HCF of 3160,2912 is 8.

Lets's calculate GCF of 3160,2912

Greatest Common Factor (GCF) of 3160,2912 By Common Division

2	3160, 2912
2	1580, 1456
2	790, 728
	395, 364

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

Greatest Common Factor of 3160,2912 By Matching Biggest Common Factor Method

Now, list down the factors of 3160

1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160

Now, list down the factors of 2912

1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912

Greatest Common Factor

We found the factors 3160,2912 . The biggest common factor number is the GCF number.
So the greatest common factor 3160,2912 is 8.

Lets's calculate LCM of 479,9596

Lowest Common Multiple of 479,9596 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4596484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4596484

Therefore, the GCF of Fractions 3160/479,2912/9596 is 8/4596484

Least Common Multiple of 479,9596 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 479,9596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,9596) = 1

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

GCF(479,9596) x common factors =1 x 1 = 1

LCM(479,9596) = ( 479 × 9596 ) / 1

LCM(479,9596) = 4596484 / 1

LCM(479,9596) = 4596484

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FAQs on GCF of Fractions of 3160/479, 2912/9596

1. What is the HCF of 3160,2912?

The HCF of 3160,2912 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 3160/479, 2912/9596?

Answer: GCF of Numerators as per given numbers 3160/479, 2912/9596 is

GCF of Numerators i.e. for 3160,2912 is 8

LCM of denominators i.e. for 479,9596 is 4596484.

Thus, GCF of Fractions is 8/4596484.Finally, GCF of Fractions for 3160/479, 2912/9596 is 8/4596484.