How to Find GCF of 1324/280, 1008/244?

GCF of 1324/280, 1008/244

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 1324/280, 1008/244 i.e 4/17080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1324/280, 1008/244.

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 1324/280,1008/244?

Given fractions are 1324/280,1008/244

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 1324/280,1008/244, numerators are 1324,1008

Denominators are 280,244

The GCF of 1324,1008 is 4 .

LCM of 280,244 is 17080.

The greatest common factor of 1324/280,1008/244 = [GCF of 1324,1008]/[LCM of 280,244]= 4/17080

Therefore, the GCF of 1324/280,1008/244 is 4/17080.

Greatest Common Factor of 1324,1008

To find the highest common factor of 1324,1008, we have to find the factors of both numbers and list the highest common factor.

The factors of 1324 are 1, 2, 4, 331, 662, 1324

The factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008

The HCF of 1324,1008 is 4.

Lets's calculate GCF of 1324,1008

Greatest Common Factor (GCF) of 1324,1008 By Common Division

2	1324, 1008
2	662, 504
	331, 252

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1324,1008 By Matching Biggest Common Factor Method

Now, list down the factors of 1324

1,2,4,331,662,1324

Now, list down the factors of 1008

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008

Greatest Common Factor

We found the factors 1324,1008 . The biggest common factor number is the GCF number.
So the greatest common factor 1324,1008 is 4.

Lets's calculate LCM of 280,244

Lowest Common Multiple of 280,244 using Common Division

2	280, 244
2	140, 122
	70, 61

∴ So the LCM of the given numbers is 2 x 2 x 70 x 61 = 17080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17080

Therefore, the GCF of Fractions 1324/280,1008/244 is 4/17080

Least Common Multiple of 280,244 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 280,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,244) = 4

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

GCF(280,244) x common factors =4 x 1 = 4

LCM(280,244) = ( 280 × 244 ) / 4

LCM(280,244) = 68320 / 4

LCM(280,244) = 17080

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FAQs on GCF of Fractions of 1324/280, 1008/244

1. What is the HCF of 1324,1008?

The HCF of 1324,1008 is 4

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 1324/280, 1008/244?

Answer: GCF of Numerators as per given numbers 1324/280, 1008/244 is

GCF of Numerators i.e. for 1324,1008 is 4

LCM of denominators i.e. for 280,244 is 17080.

Thus, GCF of Fractions is 4/17080.Finally, GCF of Fractions for 1324/280, 1008/244 is 4/17080.