How to Find GCF of 8332/101, 8220/1128?

GCF of 8332/101, 8220/1128

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 8332/101, 8220/1128 i.e 4/113928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8332/101, 8220/1128.

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 8332/101,8220/1128?

Given fractions are 8332/101,8220/1128

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 8332/101,8220/1128, numerators are 8332,8220

Denominators are 101,1128

The GCF of 8332,8220 is 4 .

LCM of 101,1128 is 113928.

The greatest common factor of 8332/101,8220/1128 = [GCF of 8332,8220]/[LCM of 101,1128]= 4/113928

Therefore, the GCF of 8332/101,8220/1128 is 4/113928.

Greatest Common Factor of 8332,8220

To find the highest common factor of 8332,8220, we have to find the factors of both numbers and list the highest common factor.

The factors of 8332 are 1, 2, 4, 2083, 4166, 8332

The factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220

The HCF of 8332,8220 is 4.

Lets's calculate GCF of 8332,8220

Greatest Common Factor (GCF) of 8332,8220 By Common Division

2	8332, 8220
2	4166, 4110
	2083, 2055

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

Greatest Common Factor of 8332,8220 By Matching Biggest Common Factor Method

Now, list down the factors of 8332

1,2,4,2083,4166,8332

Now, list down the factors of 8220

1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220

Greatest Common Factor

We found the factors 8332,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 8332,8220 is 4.

Lets's calculate LCM of 101,1128

Lowest Common Multiple of 101,1128 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 113928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/113928

Therefore, the GCF of Fractions 8332/101,8220/1128 is 4/113928

Least Common Multiple of 101,1128 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 101,1128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,1128) = 1

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

GCF(101,1128) x common factors =1 x 1 = 1

LCM(101,1128) = ( 101 × 1128 ) / 1

LCM(101,1128) = 113928 / 1

LCM(101,1128) = 113928

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8332/101, 8220/1128

1. What is the HCF of 8332,8220?

The HCF of 8332,8220 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 8332/101, 8220/1128?

Answer: GCF of Numerators as per given numbers 8332/101, 8220/1128 is

GCF of Numerators i.e. for 8332,8220 is 4

LCM of denominators i.e. for 101,1128 is 113928.

Thus, GCF of Fractions is 4/113928.Finally, GCF of Fractions for 8332/101, 8220/1128 is 4/113928.