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GCF of 563/286, 222/551

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 563/286, 222/551 i.e 1/157586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 563/286, 222/551.

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 563/286,222/551?

Given fractions are 563/286,222/551

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 563/286,222/551, numerators are 563,222

Denominators are 286,551

The GCF of 563,222 is 1 .

LCM of 286,551 is 157586.

The greatest common factor of 563/286,222/551 = [GCF of 563,222]/[LCM of 286,551]= 1/157586

Therefore, the GCF of 563/286,222/551 is 1/157586.

Greatest Common Factor of 563,222

To find the highest common factor of 563,222, we have to find the factors of both numbers and list the highest common factor.

The factors of 563 are 1, 563

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

The HCF of 563,222 is 1.

Lets's calculate GCF of 563,222

Greatest Common Factor (GCF) of 563,222 By Common Division

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

Greatest Common Factor of 563,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 563,222 By Matching Biggest Common Factor Method

Now, list down the factors of 563

:

1,563

Now, list down the factors of 222

:

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

Greatest Common Factor

We found the factors 563,222 . The biggest common factor number is the GCF number.
So the greatest common factor 563,222 is 1.

Lets's calculate LCM of 286,551

Lowest Common Multiple of 286,551 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 157586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157586

Therefore, the GCF of Fractions 563/286,222/551 is 1/157586

Least Common Multiple of 286,551 with GCF Formula

Least Common Multiple of 286,551 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 286,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,551) = 1

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

GCF(286,551) x common factors =1 x 1 = 1

LCM(286,551) = ( 286 × 551 ) / 1

LCM(286,551) = 157586 / 1

LCM(286,551) = 157586


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FAQs on GCF of Fractions of 563/286, 222/551

1. What is the HCF of 563,222?

The HCF of 563,222 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 563/286, 222/551?

Answer: GCF of Numerators as per given numbers 563/286, 222/551 is

GCF of Numerators i.e. for 563,222 is 1

LCM of denominators i.e. for 286,551 is 157586.

Thus, GCF of Fractions is 1/157586.Finally, GCF of Fractions for 563/286, 222/551 is 1/157586.