How to Find GCF of 1210/479, 1397/6211?

GCF of 1210/479, 1397/6211

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 1210/479, 1397/6211 i.e 11/2975069 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1210/479, 1397/6211.

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 1210/479,1397/6211?

Given fractions are 1210/479,1397/6211

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 1210/479,1397/6211, numerators are 1210,1397

Denominators are 479,6211

The GCF of 1210,1397 is 11 .

LCM of 479,6211 is 2975069.

The greatest common factor of 1210/479,1397/6211 = [GCF of 1210,1397]/[LCM of 479,6211]= 11/2975069

Therefore, the GCF of 1210/479,1397/6211 is 11/2975069.

Greatest Common Factor of 1210,1397

To find the highest common factor of 1210,1397, we have to find the factors of both numbers and list the highest common factor.

The factors of 1210 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210

The factors of 1397 are 1, 11, 127, 1397

The HCF of 1210,1397 is 11.

Lets's calculate GCF of 1210,1397

Greatest Common Factor (GCF) of 1210,1397 By Common Division

11	1210, 1397
	110, 127

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 1210,1397 By Matching Biggest Common Factor Method

Now, list down the factors of 1210

1,2,5,10,11,22,55,110,121,242,605,1210

Now, list down the factors of 1397

1,11,127,1397

Greatest Common Factor

We found the factors 1210,1397 . The biggest common factor number is the GCF number.
So the greatest common factor 1210,1397 is 11.

Lets's calculate LCM of 479,6211

Lowest Common Multiple of 479,6211 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2975069

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2975069

Therefore, the GCF of Fractions 1210/479,1397/6211 is 11/2975069

Least Common Multiple of 479,6211 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 479,6211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,6211) = 1

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

GCF(479,6211) x common factors =1 x 1 = 1

LCM(479,6211) = ( 479 × 6211 ) / 1

LCM(479,6211) = 2975069 / 1

LCM(479,6211) = 2975069

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FAQs on GCF of Fractions of 1210/479, 1397/6211

1. What is the HCF of 1210,1397?

The HCF of 1210,1397 is 11

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 1210/479, 1397/6211?

Answer: GCF of Numerators as per given numbers 1210/479, 1397/6211 is

GCF of Numerators i.e. for 1210,1397 is 11

LCM of denominators i.e. for 479,6211 is 2975069.

Thus, GCF of Fractions is 11/2975069.Finally, GCF of Fractions for 1210/479, 1397/6211 is 11/2975069.