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GCF of 211/563, 3887/773

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 211/563, 3887/773 i.e 1/435199 easily. The following is the detailed procedure to determine the greatest common factor of fractions 211/563, 3887/773.

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 211/563,3887/773?

Given fractions are 211/563,3887/773

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 211/563,3887/773, numerators are 211,3887

Denominators are 563,773

The GCF of 211,3887 is 1 .

LCM of 563,773 is 435199.

The greatest common factor of 211/563,3887/773 = [GCF of 211,3887]/[LCM of 563,773]= 1/435199

Therefore, the GCF of 211/563,3887/773 is 1/435199.

Greatest Common Factor of 211,3887

To find the highest common factor of 211,3887, we have to find the factors of both numbers and list the highest common factor.

The factors of 211 are 1, 211

The factors of 3887 are 1, 13, 23, 169, 299, 3887

The HCF of 211,3887 is 1.

Lets's calculate GCF of 211,3887

Greatest Common Factor (GCF) of 211,3887 By Common Division

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

Greatest Common Factor of 211,3887 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,3887 By Matching Biggest Common Factor Method

Now, list down the factors of 211

:

1,211

Now, list down the factors of 3887

:

1,13,23,169,299,3887

Greatest Common Factor

We found the factors 211,3887 . The biggest common factor number is the GCF number.
So the greatest common factor 211,3887 is 1.

Lets's calculate LCM of 563,773

Lowest Common Multiple of 563,773 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 435199

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/435199

Therefore, the GCF of Fractions 211/563,3887/773 is 1/435199

Least Common Multiple of 563,773 with GCF Formula

Least Common Multiple of 563,773 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 563,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,773) = 1

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

GCF(563,773) x common factors =1 x 1 = 1

LCM(563,773) = ( 563 × 773 ) / 1

LCM(563,773) = 435199 / 1

LCM(563,773) = 435199


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FAQs on GCF of Fractions of 211/563, 3887/773

1. What is the HCF of 211,3887?

The HCF of 211,3887 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 211/563, 3887/773?

Answer: GCF of Numerators as per given numbers 211/563, 3887/773 is

GCF of Numerators i.e. for 211,3887 is 1

LCM of denominators i.e. for 563,773 is 435199.

Thus, GCF of Fractions is 1/435199.Finally, GCF of Fractions for 211/563, 3887/773 is 1/435199.