How to Find GCF of 9566/271, 3248/5117?

GCF of 9566/271, 3248/5117

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 9566/271, 3248/5117 i.e 2/1386707 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9566/271, 3248/5117.

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 9566/271,3248/5117?

Given fractions are 9566/271,3248/5117

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 9566/271,3248/5117, numerators are 9566,3248

Denominators are 271,5117

The GCF of 9566,3248 is 2 .

LCM of 271,5117 is 1386707.

The greatest common factor of 9566/271,3248/5117 = [GCF of 9566,3248]/[LCM of 271,5117]= 2/1386707

Therefore, the GCF of 9566/271,3248/5117 is 2/1386707.

Greatest Common Factor of 9566,3248

To find the highest common factor of 9566,3248, we have to find the factors of both numbers and list the highest common factor.

The factors of 9566 are 1, 2, 4783, 9566

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 9566,3248 is 2.

Lets's calculate GCF of 9566,3248

Greatest Common Factor (GCF) of 9566,3248 By Common Division

2	9566, 3248
	4783, 1624

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

Greatest Common Factor of 9566,3248 By Matching Biggest Common Factor Method

Now, list down the factors of 9566

1,2,4783,9566

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 9566,3248 . The biggest common factor number is the GCF number.
So the greatest common factor 9566,3248 is 2.

Lets's calculate LCM of 271,5117

Lowest Common Multiple of 271,5117 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1386707

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1386707

Therefore, the GCF of Fractions 9566/271,3248/5117 is 2/1386707

Least Common Multiple of 271,5117 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 271,5117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,5117) = 1

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

GCF(271,5117) x common factors =1 x 1 = 1

LCM(271,5117) = ( 271 × 5117 ) / 1

LCM(271,5117) = 1386707 / 1

LCM(271,5117) = 1386707

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FAQs on GCF of Fractions of 9566/271, 3248/5117

1. What is the HCF of 9566,3248?

The HCF of 9566,3248 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 9566/271, 3248/5117?

Answer: GCF of Numerators as per given numbers 9566/271, 3248/5117 is

GCF of Numerators i.e. for 9566,3248 is 2

LCM of denominators i.e. for 271,5117 is 1386707.

Thus, GCF of Fractions is 2/1386707.Finally, GCF of Fractions for 9566/271, 3248/5117 is 2/1386707.