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GCF of 220/81, 769/218

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 220/81, 769/218 i.e 1/17658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/81, 769/218.

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 220/81,769/218?

Given fractions are 220/81,769/218

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 220/81,769/218, numerators are 220,769

Denominators are 81,218

The GCF of 220,769 is 1 .

LCM of 81,218 is 17658.

The greatest common factor of 220/81,769/218 = [GCF of 220,769]/[LCM of 81,218]= 1/17658

Therefore, the GCF of 220/81,769/218 is 1/17658.

Greatest Common Factor of 220,769

To find the highest common factor of 220,769, we have to find the factors of both numbers and list the highest common factor.

The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

The factors of 769 are 1, 769

The HCF of 220,769 is 1.

Lets's calculate GCF of 220,769

Greatest Common Factor (GCF) of 220,769 By Common Division

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

Greatest Common Factor of 220,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,769 By Matching Biggest Common Factor Method

Now, list down the factors of 220

:

1,2,4,5,10,11,20,22,44,55,110,220

Now, list down the factors of 769

:

1,769

Greatest Common Factor

We found the factors 220,769 . The biggest common factor number is the GCF number.
So the greatest common factor 220,769 is 1.

Lets's calculate LCM of 81,218

Lowest Common Multiple of 81,218 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17658

Therefore, the GCF of Fractions 220/81,769/218 is 1/17658

Least Common Multiple of 81,218 with GCF Formula

Least Common Multiple of 81,218 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 81,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,218) = 1

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

GCF(81,218) x common factors =1 x 1 = 1

LCM(81,218) = ( 81 × 218 ) / 1

LCM(81,218) = 17658 / 1

LCM(81,218) = 17658


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FAQs on GCF of Fractions of 220/81, 769/218

1. What is the HCF of 220,769?

The HCF of 220,769 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 220/81, 769/218?

Answer: GCF of Numerators as per given numbers 220/81, 769/218 is

GCF of Numerators i.e. for 220,769 is 1

LCM of denominators i.e. for 81,218 is 17658.

Thus, GCF of Fractions is 1/17658.Finally, GCF of Fractions for 220/81, 769/218 is 1/17658.