How to Find GCF of 1287/596, 9614/927?

GCF of 1287/596, 9614/927

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 1287/596, 9614/927 i.e 11/552492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1287/596, 9614/927.

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 1287/596,9614/927?

Given fractions are 1287/596,9614/927

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 1287/596,9614/927, numerators are 1287,9614

Denominators are 596,927

The GCF of 1287,9614 is 11 .

LCM of 596,927 is 552492.

The greatest common factor of 1287/596,9614/927 = [GCF of 1287,9614]/[LCM of 596,927]= 11/552492

Therefore, the GCF of 1287/596,9614/927 is 11/552492.

Greatest Common Factor of 1287,9614

To find the highest common factor of 1287,9614, we have to find the factors of both numbers and list the highest common factor.

The factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287

The factors of 9614 are 1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614

The HCF of 1287,9614 is 11.

Lets's calculate GCF of 1287,9614

Greatest Common Factor (GCF) of 1287,9614 By Common Division

11	1287, 9614
	117, 874

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 1287,9614 By Matching Biggest Common Factor Method

Now, list down the factors of 1287

1,3,9,11,13,33,39,99,117,143,429,1287

Now, list down the factors of 9614

1,2,11,19,22,23,38,46,209,253,418,437,506,874,4807,9614

Greatest Common Factor

We found the factors 1287,9614 . The biggest common factor number is the GCF number.
So the greatest common factor 1287,9614 is 11.

Lets's calculate LCM of 596,927

Lowest Common Multiple of 596,927 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 552492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/552492

Therefore, the GCF of Fractions 1287/596,9614/927 is 11/552492

Least Common Multiple of 596,927 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 596,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,927) = 1

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

GCF(596,927) x common factors =1 x 1 = 1

LCM(596,927) = ( 596 × 927 ) / 1

LCM(596,927) = 552492 / 1

LCM(596,927) = 552492

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FAQs on GCF of Fractions of 1287/596, 9614/927

1. What is the HCF of 1287,9614?

The HCF of 1287,9614 is 11

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 1287/596, 9614/927?

Answer: GCF of Numerators as per given numbers 1287/596, 9614/927 is

GCF of Numerators i.e. for 1287,9614 is 11

LCM of denominators i.e. for 596,927 is 552492.

Thus, GCF of Fractions is 11/552492.Finally, GCF of Fractions for 1287/596, 9614/927 is 11/552492.