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GCF of 8801/220, 3148/112

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 8801/220, 3148/112 i.e 1/6160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8801/220, 3148/112.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8801/220,3148/112?

Given fractions are 8801/220,3148/112

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 8801/220,3148/112, numerators are 8801,3148

Denominators are 220,112

The GCF of 8801,3148 is 1 .

LCM of 220,112 is 6160.

The greatest common factor of 8801/220,3148/112 = [GCF of 8801,3148]/[LCM of 220,112]= 1/6160

Therefore, the GCF of 8801/220,3148/112 is 1/6160.

Greatest Common Factor of 8801,3148

To find the highest common factor of 8801,3148, we have to find the factors of both numbers and list the highest common factor.

The factors of 8801 are 1, 13, 677, 8801

The factors of 3148 are 1, 2, 4, 787, 1574, 3148

The HCF of 8801,3148 is 1.

Lets's calculate GCF of 8801,3148

Greatest Common Factor (GCF) of 8801,3148 By Common Division

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

Greatest Common Factor of 8801,3148 By Matching Biggest Common Factor Method

Greatest Common Factor of 8801,3148 By Matching Biggest Common Factor Method

Now, list down the factors of 8801

:

1,13,677,8801

Now, list down the factors of 3148

:

1,2,4,787,1574,3148

Greatest Common Factor

We found the factors 8801,3148 . The biggest common factor number is the GCF number.
So the greatest common factor 8801,3148 is 1.

Lets's calculate LCM of 220,112

Lowest Common Multiple of 220,112 using Common Division

2 220, 112
2 110, 56
55, 28

∴ So the LCM of the given numbers is 2 x 2 x 55 x 28 = 6160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6160

Therefore, the GCF of Fractions 8801/220,3148/112 is 1/6160

Least Common Multiple of 220,112 with GCF Formula

Least Common Multiple of 220,112 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 220,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,112) = 4

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

GCF(220,112) x common factors =4 x 1 = 4

LCM(220,112) = ( 220 × 112 ) / 4

LCM(220,112) = 24640 / 4

LCM(220,112) = 6160


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8801/220, 3148/112

1. What is the HCF of 8801,3148?

The HCF of 8801,3148 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 8801/220, 3148/112?

Answer: GCF of Numerators as per given numbers 8801/220, 3148/112 is

GCF of Numerators i.e. for 8801,3148 is 1

LCM of denominators i.e. for 220,112 is 6160.

Thus, GCF of Fractions is 1/6160.Finally, GCF of Fractions for 8801/220, 3148/112 is 1/6160.