How to Find GCF of 1594/317, 2912/9863?

GCF of 1594/317, 2912/9863

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 1594/317, 2912/9863 i.e 2/3126571 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1594/317, 2912/9863.

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 1594/317,2912/9863?

Given fractions are 1594/317,2912/9863

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 1594/317,2912/9863, numerators are 1594,2912

Denominators are 317,9863

The GCF of 1594,2912 is 2 .

LCM of 317,9863 is 3126571.

The greatest common factor of 1594/317,2912/9863 = [GCF of 1594,2912]/[LCM of 317,9863]= 2/3126571

Therefore, the GCF of 1594/317,2912/9863 is 2/3126571.

Greatest Common Factor of 1594,2912

To find the highest common factor of 1594,2912, we have to find the factors of both numbers and list the highest common factor.

The factors of 1594 are 1, 2, 797, 1594

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 1594,2912 is 2.

Lets's calculate GCF of 1594,2912

Greatest Common Factor (GCF) of 1594,2912 By Common Division

2	1594, 2912
	797, 1456

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

Greatest Common Factor of 1594,2912 By Matching Biggest Common Factor Method

Now, list down the factors of 1594

1,2,797,1594

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 1594,2912 . The biggest common factor number is the GCF number.
So the greatest common factor 1594,2912 is 2.

Lets's calculate LCM of 317,9863

Lowest Common Multiple of 317,9863 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3126571

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3126571

Therefore, the GCF of Fractions 1594/317,2912/9863 is 2/3126571

Least Common Multiple of 317,9863 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 317,9863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,9863) = 1

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

GCF(317,9863) x common factors =1 x 1 = 1

LCM(317,9863) = ( 317 × 9863 ) / 1

LCM(317,9863) = 3126571 / 1

LCM(317,9863) = 3126571

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FAQs on GCF of Fractions of 1594/317, 2912/9863

1. What is the HCF of 1594,2912?

The HCF of 1594,2912 is 2

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 1594/317, 2912/9863?

Answer: GCF of Numerators as per given numbers 1594/317, 2912/9863 is

GCF of Numerators i.e. for 1594,2912 is 2

LCM of denominators i.e. for 317,9863 is 3126571.

Thus, GCF of Fractions is 2/3126571.Finally, GCF of Fractions for 1594/317, 2912/9863 is 2/3126571.