How to Find GCF of 8900/377, 2932/8393?

GCF of 8900/377, 2932/8393

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 8900/377, 2932/8393 i.e 4/3164161 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8900/377, 2932/8393.

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 8900/377,2932/8393?

Given fractions are 8900/377,2932/8393

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 8900/377,2932/8393, numerators are 8900,2932

Denominators are 377,8393

The GCF of 8900,2932 is 4 .

LCM of 377,8393 is 3164161.

The greatest common factor of 8900/377,2932/8393 = [GCF of 8900,2932]/[LCM of 377,8393]= 4/3164161

Therefore, the GCF of 8900/377,2932/8393 is 4/3164161.

Greatest Common Factor of 8900,2932

To find the highest common factor of 8900,2932, we have to find the factors of both numbers and list the highest common factor.

The factors of 8900 are 1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900

The factors of 2932 are 1, 2, 4, 733, 1466, 2932

The HCF of 8900,2932 is 4.

Lets's calculate GCF of 8900,2932

Greatest Common Factor (GCF) of 8900,2932 By Common Division

2	8900, 2932
2	4450, 1466
	2225, 733

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

Greatest Common Factor of 8900,2932 By Matching Biggest Common Factor Method

Now, list down the factors of 8900

1,2,4,5,10,20,25,50,89,100,178,356,445,890,1780,2225,4450,8900

Now, list down the factors of 2932

1,2,4,733,1466,2932

Greatest Common Factor

We found the factors 8900,2932 . The biggest common factor number is the GCF number.
So the greatest common factor 8900,2932 is 4.

Lets's calculate LCM of 377,8393

Lowest Common Multiple of 377,8393 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3164161

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3164161

Therefore, the GCF of Fractions 8900/377,2932/8393 is 4/3164161

Least Common Multiple of 377,8393 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 377,8393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,8393) = 1

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

GCF(377,8393) x common factors =1 x 1 = 1

LCM(377,8393) = ( 377 × 8393 ) / 1

LCM(377,8393) = 3164161 / 1

LCM(377,8393) = 3164161

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FAQs on GCF of Fractions of 8900/377, 2932/8393

1. What is the HCF of 8900,2932?

The HCF of 8900,2932 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 8900/377, 2932/8393?

Answer: GCF of Numerators as per given numbers 8900/377, 2932/8393 is

GCF of Numerators i.e. for 8900,2932 is 4

LCM of denominators i.e. for 377,8393 is 3164161.

Thus, GCF of Fractions is 4/3164161.Finally, GCF of Fractions for 8900/377, 2932/8393 is 4/3164161.