How to Find GCF of 1312/234, 8720/472?

GCF of 1312/234, 8720/472

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 1312/234, 8720/472 i.e 16/55224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1312/234, 8720/472.

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 1312/234,8720/472?

Given fractions are 1312/234,8720/472

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 1312/234,8720/472, numerators are 1312,8720

Denominators are 234,472

The GCF of 1312,8720 is 16 .

LCM of 234,472 is 55224.

The greatest common factor of 1312/234,8720/472 = [GCF of 1312,8720]/[LCM of 234,472]= 16/55224

Therefore, the GCF of 1312/234,8720/472 is 16/55224.

Greatest Common Factor of 1312,8720

To find the highest common factor of 1312,8720, we have to find the factors of both numbers and list the highest common factor.

The factors of 1312 are 1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312

The factors of 8720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720

The HCF of 1312,8720 is 16.

Lets's calculate GCF of 1312,8720

Greatest Common Factor (GCF) of 1312,8720 By Common Division

2	1312, 8720
2	656, 4360
2	328, 2180
2	164, 1090
	82, 545

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 1312,8720 By Matching Biggest Common Factor Method

Now, list down the factors of 1312

1,2,4,8,16,32,41,82,164,328,656,1312

Now, list down the factors of 8720

1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720

Greatest Common Factor

We found the factors 1312,8720 . The biggest common factor number is the GCF number.
So the greatest common factor 1312,8720 is 16.

Lets's calculate LCM of 234,472

Lowest Common Multiple of 234,472 using Common Division

2	234, 472
	117, 236

∴ So the LCM of the given numbers is 2 x 117 x 236 = 55224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/55224

Therefore, the GCF of Fractions 1312/234,8720/472 is 16/55224

Least Common Multiple of 234,472 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 234,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,472) = 2

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

GCF(234,472) x common factors =2 x 1 = 2

LCM(234,472) = ( 234 × 472 ) / 2

LCM(234,472) = 110448 / 2

LCM(234,472) = 55224

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1312/234, 8720/472

1. What is the HCF of 1312,8720?

The HCF of 1312,8720 is 16

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 1312/234, 8720/472?

Answer: GCF of Numerators as per given numbers 1312/234, 8720/472 is

GCF of Numerators i.e. for 1312,8720 is 16

LCM of denominators i.e. for 234,472 is 55224.

Thus, GCF of Fractions is 16/55224.Finally, GCF of Fractions for 1312/234, 8720/472 is 16/55224.