How to Find GCF of 23/955, 4692/5574?

GCF of 23/955, 4692/5574

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 23/955, 4692/5574 i.e 23/5323170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/955, 4692/5574.

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 23/955,4692/5574?

Given fractions are 23/955,4692/5574

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 23/955,4692/5574, numerators are 23,4692

Denominators are 955,5574

The GCF of 23,4692 is 23 .

LCM of 955,5574 is 5323170.

The greatest common factor of 23/955,4692/5574 = [GCF of 23,4692]/[LCM of 955,5574]= 23/5323170

Therefore, the GCF of 23/955,4692/5574 is 23/5323170.

Greatest Common Factor of 23,4692

To find the highest common factor of 23,4692, we have to find the factors of both numbers and list the highest common factor.

The factors of 23 are 1, 23

The factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692

The HCF of 23,4692 is 23.

Lets's calculate GCF of 23,4692

Greatest Common Factor (GCF) of 23,4692 By Common Division

23	23, 4692
	1, 204

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 23,4692 By Matching Biggest Common Factor Method

Now, list down the factors of 23

1,23

Now, list down the factors of 4692

1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692

Greatest Common Factor

We found the factors 23,4692 . The biggest common factor number is the GCF number.
So the greatest common factor 23,4692 is 23.

Lets's calculate LCM of 955,5574

Lowest Common Multiple of 955,5574 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5323170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/5323170

Therefore, the GCF of Fractions 23/955,4692/5574 is 23/5323170

Least Common Multiple of 955,5574 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 955,5574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,5574) = 1

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

GCF(955,5574) x common factors =1 x 1 = 1

LCM(955,5574) = ( 955 × 5574 ) / 1

LCM(955,5574) = 5323170 / 1

LCM(955,5574) = 5323170

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FAQs on GCF of Fractions of 23/955, 4692/5574

1. What is the HCF of 23,4692?

The HCF of 23,4692 is 23

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 23/955, 4692/5574?

Answer: GCF of Numerators as per given numbers 23/955, 4692/5574 is

GCF of Numerators i.e. for 23,4692 is 23

LCM of denominators i.e. for 955,5574 is 5323170.

Thus, GCF of Fractions is 23/5323170.Finally, GCF of Fractions for 23/955, 4692/5574 is 23/5323170.