How to Find GCF of 1724/871, 2912/5317?

GCF of 1724/871, 2912/5317

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 1724/871, 2912/5317 i.e 4/356239 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1724/871, 2912/5317.

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 1724/871,2912/5317?

Given fractions are 1724/871,2912/5317

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 1724/871,2912/5317, numerators are 1724,2912

Denominators are 871,5317

The GCF of 1724,2912 is 4 .

LCM of 871,5317 is 356239.

The greatest common factor of 1724/871,2912/5317 = [GCF of 1724,2912]/[LCM of 871,5317]= 4/356239

Therefore, the GCF of 1724/871,2912/5317 is 4/356239.

Greatest Common Factor of 1724,2912

To find the highest common factor of 1724,2912, we have to find the factors of both numbers and list the highest common factor.

The factors of 1724 are 1, 2, 4, 431, 862, 1724

The factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912

The HCF of 1724,2912 is 4.

Lets's calculate GCF of 1724,2912

Greatest Common Factor (GCF) of 1724,2912 By Common Division

2	1724, 2912
2	862, 1456
	431, 728

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

Greatest Common Factor of 1724,2912 By Matching Biggest Common Factor Method

Now, list down the factors of 1724

1,2,4,431,862,1724

Now, list down the factors of 2912

1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912

Greatest Common Factor

We found the factors 1724,2912 . The biggest common factor number is the GCF number.
So the greatest common factor 1724,2912 is 4.

Lets's calculate LCM of 871,5317

Lowest Common Multiple of 871,5317 using Common Division

13	871, 5317
	67, 409

∴ So the LCM of the given numbers is 13 x 67 x 409 = 356239

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/356239

Therefore, the GCF of Fractions 1724/871,2912/5317 is 4/356239

Least Common Multiple of 871,5317 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 871,5317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,5317) = 13

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

GCF(871,5317) x common factors =13 x 1 = 13

LCM(871,5317) = ( 871 × 5317 ) / 13

LCM(871,5317) = 4631107 / 13

LCM(871,5317) = 356239

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1724/871, 2912/5317

1. What is the HCF of 1724,2912?

The HCF of 1724,2912 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 1724/871, 2912/5317?

Answer: GCF of Numerators as per given numbers 1724/871, 2912/5317 is

GCF of Numerators i.e. for 1724,2912 is 4

LCM of denominators i.e. for 871,5317 is 356239.

Thus, GCF of Fractions is 4/356239.Finally, GCF of Fractions for 1724/871, 2912/5317 is 4/356239.