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GCF of 222/796, 409/648

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 222/796, 409/648 i.e 1/128952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 222/796, 409/648.

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 222/796,409/648?

Given fractions are 222/796,409/648

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 222/796,409/648, numerators are 222,409

Denominators are 796,648

The GCF of 222,409 is 1 .

LCM of 796,648 is 128952.

The greatest common factor of 222/796,409/648 = [GCF of 222,409]/[LCM of 796,648]= 1/128952

Therefore, the GCF of 222/796,409/648 is 1/128952.

Greatest Common Factor of 222,409

To find the highest common factor of 222,409, we have to find the factors of both numbers and list the highest common factor.

The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222

The factors of 409 are 1, 409

The HCF of 222,409 is 1.

Lets's calculate GCF of 222,409

Greatest Common Factor (GCF) of 222,409 By Common Division

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

Greatest Common Factor of 222,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,409 By Matching Biggest Common Factor Method

Now, list down the factors of 222

:

1,2,3,6,37,74,111,222

Now, list down the factors of 409

:

1,409

Greatest Common Factor

We found the factors 222,409 . The biggest common factor number is the GCF number.
So the greatest common factor 222,409 is 1.

Lets's calculate LCM of 796,648

Lowest Common Multiple of 796,648 using Common Division

2 796, 648
2 398, 324
199, 162

∴ So the LCM of the given numbers is 2 x 2 x 199 x 162 = 128952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128952

Therefore, the GCF of Fractions 222/796,409/648 is 1/128952

Least Common Multiple of 796,648 with GCF Formula

Least Common Multiple of 796,648 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 796,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,648) = 4

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

GCF(796,648) x common factors =4 x 1 = 4

LCM(796,648) = ( 796 × 648 ) / 4

LCM(796,648) = 515808 / 4

LCM(796,648) = 128952


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FAQs on GCF of Fractions of 222/796, 409/648

1. What is the HCF of 222,409?

The HCF of 222,409 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 222/796, 409/648?

Answer: GCF of Numerators as per given numbers 222/796, 409/648 is

GCF of Numerators i.e. for 222,409 is 1

LCM of denominators i.e. for 796,648 is 128952.

Thus, GCF of Fractions is 1/128952.Finally, GCF of Fractions for 222/796, 409/648 is 1/128952.