How to Find GCF of 5908/856, 1163/172?

GCF of 5908/856, 1163/172

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 5908/856, 1163/172 i.e 1/36808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5908/856, 1163/172.

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 5908/856,1163/172?

Given fractions are 5908/856,1163/172

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 5908/856,1163/172, numerators are 5908,1163

Denominators are 856,172

The GCF of 5908,1163 is 1 .

LCM of 856,172 is 36808.

The greatest common factor of 5908/856,1163/172 = [GCF of 5908,1163]/[LCM of 856,172]= 1/36808

Therefore, the GCF of 5908/856,1163/172 is 1/36808.

Greatest Common Factor of 5908,1163

To find the highest common factor of 5908,1163, we have to find the factors of both numbers and list the highest common factor.

The factors of 5908 are 1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908

The factors of 1163 are 1, 1163

The HCF of 5908,1163 is 1.

Lets's calculate GCF of 5908,1163

Greatest Common Factor (GCF) of 5908,1163 By Common Division

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

Greatest Common Factor of 5908,1163 By Matching Biggest Common Factor Method

Now, list down the factors of 5908

1,2,4,7,14,28,211,422,844,1477,2954,5908

Now, list down the factors of 1163

1,1163

Greatest Common Factor

We found the factors 5908,1163 . The biggest common factor number is the GCF number.
So the greatest common factor 5908,1163 is 1.

Lets's calculate LCM of 856,172

Lowest Common Multiple of 856,172 using Common Division

2	856, 172
2	428, 86
	214, 43

∴ So the LCM of the given numbers is 2 x 2 x 214 x 43 = 36808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36808

Therefore, the GCF of Fractions 5908/856,1163/172 is 1/36808

Least Common Multiple of 856,172 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 856,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,172) = 4

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

GCF(856,172) x common factors =4 x 1 = 4

LCM(856,172) = ( 856 × 172 ) / 4

LCM(856,172) = 147232 / 4

LCM(856,172) = 36808

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FAQs on GCF of Fractions of 5908/856, 1163/172

1. What is the HCF of 5908,1163?

The HCF of 5908,1163 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 5908/856, 1163/172?

Answer: GCF of Numerators as per given numbers 5908/856, 1163/172 is

GCF of Numerators i.e. for 5908,1163 is 1

LCM of denominators i.e. for 856,172 is 36808.

Thus, GCF of Fractions is 1/36808.Finally, GCF of Fractions for 5908/856, 1163/172 is 1/36808.