How to Find GCF of 3167/944, 3248/5771?

GCF of 3167/944, 3248/5771

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 3167/944, 3248/5771 i.e 1/5447824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3167/944, 3248/5771.

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 3167/944,3248/5771?

Given fractions are 3167/944,3248/5771

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 3167/944,3248/5771, numerators are 3167,3248

Denominators are 944,5771

The GCF of 3167,3248 is 1 .

LCM of 944,5771 is 5447824.

The greatest common factor of 3167/944,3248/5771 = [GCF of 3167,3248]/[LCM of 944,5771]= 1/5447824

Therefore, the GCF of 3167/944,3248/5771 is 1/5447824.

Greatest Common Factor of 3167,3248

To find the highest common factor of 3167,3248, we have to find the factors of both numbers and list the highest common factor.

The factors of 3167 are 1, 3167

The factors of 3248 are 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624, 3248

The HCF of 3167,3248 is 1.

Lets's calculate GCF of 3167,3248

Greatest Common Factor (GCF) of 3167,3248 By Common Division

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

Greatest Common Factor of 3167,3248 By Matching Biggest Common Factor Method

Now, list down the factors of 3167

1,3167

Now, list down the factors of 3248

1,2,4,7,8,14,16,28,29,56,58,112,116,203,232,406,464,812,1624,3248

Greatest Common Factor

We found the factors 3167,3248 . The biggest common factor number is the GCF number.
So the greatest common factor 3167,3248 is 1.

Lets's calculate LCM of 944,5771

Lowest Common Multiple of 944,5771 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5447824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5447824

Therefore, the GCF of Fractions 3167/944,3248/5771 is 1/5447824

Least Common Multiple of 944,5771 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 944,5771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,5771) = 1

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

GCF(944,5771) x common factors =1 x 1 = 1

LCM(944,5771) = ( 944 × 5771 ) / 1

LCM(944,5771) = 5447824 / 1

LCM(944,5771) = 5447824

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FAQs on GCF of Fractions of 3167/944, 3248/5771

1. What is the HCF of 3167,3248?

The HCF of 3167,3248 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 3167/944, 3248/5771?

Answer: GCF of Numerators as per given numbers 3167/944, 3248/5771 is

GCF of Numerators i.e. for 3167,3248 is 1

LCM of denominators i.e. for 944,5771 is 5447824.

Thus, GCF of Fractions is 1/5447824.Finally, GCF of Fractions for 3167/944, 3248/5771 is 1/5447824.