How to Find GCF of 926/632, 4400/174?

GCF of 926/632, 4400/174

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 926/632, 4400/174 i.e 2/54984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 926/632, 4400/174.

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 926/632,4400/174?

Given fractions are 926/632,4400/174

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 926/632,4400/174, numerators are 926,4400

Denominators are 632,174

The GCF of 926,4400 is 2 .

LCM of 632,174 is 54984.

The greatest common factor of 926/632,4400/174 = [GCF of 926,4400]/[LCM of 632,174]= 2/54984

Therefore, the GCF of 926/632,4400/174 is 2/54984.

Greatest Common Factor of 926,4400

To find the highest common factor of 926,4400, we have to find the factors of both numbers and list the highest common factor.

The factors of 926 are 1, 2, 463, 926

The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400

The HCF of 926,4400 is 2.

Lets's calculate GCF of 926,4400

Greatest Common Factor (GCF) of 926,4400 By Common Division

2	926, 4400
	463, 2200

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

Greatest Common Factor of 926,4400 By Matching Biggest Common Factor Method

Now, list down the factors of 926

1,2,463,926

Now, list down the factors of 4400

1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400

Greatest Common Factor

We found the factors 926,4400 . The biggest common factor number is the GCF number.
So the greatest common factor 926,4400 is 2.

Lets's calculate LCM of 632,174

Lowest Common Multiple of 632,174 using Common Division

2	632, 174
	316, 87

∴ So the LCM of the given numbers is 2 x 316 x 87 = 54984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54984

Therefore, the GCF of Fractions 926/632,4400/174 is 2/54984

Least Common Multiple of 632,174 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 632,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,174) = 2

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

GCF(632,174) x common factors =2 x 1 = 2

LCM(632,174) = ( 632 × 174 ) / 2

LCM(632,174) = 109968 / 2

LCM(632,174) = 54984

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FAQs on GCF of Fractions of 926/632, 4400/174

1. What is the HCF of 926,4400?

The HCF of 926,4400 is 2

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 926/632, 4400/174?

Answer: GCF of Numerators as per given numbers 926/632, 4400/174 is

GCF of Numerators i.e. for 926,4400 is 2

LCM of denominators i.e. for 632,174 is 54984.

Thus, GCF of Fractions is 2/54984.Finally, GCF of Fractions for 926/632, 4400/174 is 2/54984.