How to Find GCF of 279/952, 1288/3324?

GCF of 279/952, 1288/3324

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 279/952, 1288/3324 i.e 1/791112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 279/952, 1288/3324.

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 279/952,1288/3324?

Given fractions are 279/952,1288/3324

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 279/952,1288/3324, numerators are 279,1288

Denominators are 952,3324

The GCF of 279,1288 is 1 .

LCM of 952,3324 is 791112.

The greatest common factor of 279/952,1288/3324 = [GCF of 279,1288]/[LCM of 952,3324]= 1/791112

Therefore, the GCF of 279/952,1288/3324 is 1/791112.

Greatest Common Factor of 279,1288

To find the highest common factor of 279,1288, we have to find the factors of both numbers and list the highest common factor.

The factors of 279 are 1, 3, 9, 31, 93, 279

The factors of 1288 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288

The HCF of 279,1288 is 1.

Lets's calculate GCF of 279,1288

Greatest Common Factor (GCF) of 279,1288 By Common Division

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

Greatest Common Factor of 279,1288 By Matching Biggest Common Factor Method

Now, list down the factors of 279

1,3,9,31,93,279

Now, list down the factors of 1288

1,2,4,7,8,14,23,28,46,56,92,161,184,322,644,1288

Greatest Common Factor

We found the factors 279,1288 . The biggest common factor number is the GCF number.
So the greatest common factor 279,1288 is 1.

Lets's calculate LCM of 952,3324

Lowest Common Multiple of 952,3324 using Common Division

2	952, 3324
2	476, 1662
	238, 831

∴ So the LCM of the given numbers is 2 x 2 x 238 x 831 = 791112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/791112

Therefore, the GCF of Fractions 279/952,1288/3324 is 1/791112

Least Common Multiple of 952,3324 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 952,3324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,3324) = 4

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

GCF(952,3324) x common factors =4 x 1 = 4

LCM(952,3324) = ( 952 × 3324 ) / 4

LCM(952,3324) = 3164448 / 4

LCM(952,3324) = 791112

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FAQs on GCF of Fractions of 279/952, 1288/3324

1. What is the HCF of 279,1288?

The HCF of 279,1288 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 279/952, 1288/3324?

Answer: GCF of Numerators as per given numbers 279/952, 1288/3324 is

GCF of Numerators i.e. for 279,1288 is 1

LCM of denominators i.e. for 952,3324 is 791112.

Thus, GCF of Fractions is 1/791112.Finally, GCF of Fractions for 279/952, 1288/3324 is 1/791112.