How to Find GCF of 1962/220, 7477/1212?

GCF of 1962/220, 7477/1212

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 1962/220, 7477/1212 i.e 1/66660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1962/220, 7477/1212.

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 1962/220,7477/1212?

Given fractions are 1962/220,7477/1212

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 1962/220,7477/1212, numerators are 1962,7477

Denominators are 220,1212

The GCF of 1962,7477 is 1 .

LCM of 220,1212 is 66660.

The greatest common factor of 1962/220,7477/1212 = [GCF of 1962,7477]/[LCM of 220,1212]= 1/66660

Therefore, the GCF of 1962/220,7477/1212 is 1/66660.

Greatest Common Factor of 1962,7477

To find the highest common factor of 1962,7477, we have to find the factors of both numbers and list the highest common factor.

The factors of 1962 are 1, 2, 3, 6, 9, 18, 109, 218, 327, 654, 981, 1962

The factors of 7477 are 1, 7477

The HCF of 1962,7477 is 1.

Lets's calculate GCF of 1962,7477

Greatest Common Factor (GCF) of 1962,7477 By Common Division

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

Greatest Common Factor of 1962,7477 By Matching Biggest Common Factor Method

Now, list down the factors of 1962

1,2,3,6,9,18,109,218,327,654,981,1962

Now, list down the factors of 7477

1,7477

Greatest Common Factor

We found the factors 1962,7477 . The biggest common factor number is the GCF number.
So the greatest common factor 1962,7477 is 1.

Lets's calculate LCM of 220,1212

Lowest Common Multiple of 220,1212 using Common Division

2	220, 1212
2	110, 606
	55, 303

∴ So the LCM of the given numbers is 2 x 2 x 55 x 303 = 66660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66660

Therefore, the GCF of Fractions 1962/220,7477/1212 is 1/66660

Least Common Multiple of 220,1212 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 220,1212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,1212) = 4

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

GCF(220,1212) x common factors =4 x 1 = 4

LCM(220,1212) = ( 220 × 1212 ) / 4

LCM(220,1212) = 266640 / 4

LCM(220,1212) = 66660

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FAQs on GCF of Fractions of 1962/220, 7477/1212

1. What is the HCF of 1962,7477?

The HCF of 1962,7477 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 1962/220, 7477/1212?

Answer: GCF of Numerators as per given numbers 1962/220, 7477/1212 is

GCF of Numerators i.e. for 1962,7477 is 1

LCM of denominators i.e. for 220,1212 is 66660.

Thus, GCF of Fractions is 1/66660.Finally, GCF of Fractions for 1962/220, 7477/1212 is 1/66660.