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GCF of 655/22, 258/286

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 655/22, 258/286 i.e 1/286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 655/22, 258/286.

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 655/22,258/286?

Given fractions are 655/22,258/286

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 655/22,258/286, numerators are 655,258

Denominators are 22,286

The GCF of 655,258 is 1 .

LCM of 22,286 is 286.

The greatest common factor of 655/22,258/286 = [GCF of 655,258]/[LCM of 22,286]= 1/286

Therefore, the GCF of 655/22,258/286 is 1/286.

Greatest Common Factor of 655,258

To find the highest common factor of 655,258, we have to find the factors of both numbers and list the highest common factor.

The factors of 655 are 1, 5, 131, 655

The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258

The HCF of 655,258 is 1.

Lets's calculate GCF of 655,258

Greatest Common Factor (GCF) of 655,258 By Common Division

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

Greatest Common Factor of 655,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,258 By Matching Biggest Common Factor Method

Now, list down the factors of 655

:

1,5,131,655

Now, list down the factors of 258

:

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 655,258 . The biggest common factor number is the GCF number.
So the greatest common factor 655,258 is 1.

Lets's calculate LCM of 22,286

Lowest Common Multiple of 22,286 using Common Division

2 22, 286
11 11, 143
1, 13

∴ So the LCM of the given numbers is 2 x 11 x 1 x 13 = 286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286

Therefore, the GCF of Fractions 655/22,258/286 is 1/286

Least Common Multiple of 22,286 with GCF Formula

Least Common Multiple of 22,286 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 22,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,286) = 22

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

GCF(22,286) x common factors =22 x 1 = 22

LCM(22,286) = ( 22 × 286 ) / 22

LCM(22,286) = 6292 / 22

LCM(22,286) = 286


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FAQs on GCF of Fractions of 655/22, 258/286

1. What is the HCF of 655,258?

The HCF of 655,258 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 655/22, 258/286?

Answer: GCF of Numerators as per given numbers 655/22, 258/286 is

GCF of Numerators i.e. for 655,258 is 1

LCM of denominators i.e. for 22,286 is 286.

Thus, GCF of Fractions is 1/286.Finally, GCF of Fractions for 655/22, 258/286 is 1/286.