How to Find GCF of 887/822, 728/401?

GCF of 887/822, 728/401

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 887/822, 728/401 i.e 1/329622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 887/822, 728/401.

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 887/822,728/401?

Given fractions are 887/822,728/401

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 887/822,728/401, numerators are 887,728

Denominators are 822,401

The GCF of 887,728 is 1 .

LCM of 822,401 is 329622.

The greatest common factor of 887/822,728/401 = [GCF of 887,728]/[LCM of 822,401]= 1/329622

Therefore, the GCF of 887/822,728/401 is 1/329622.

Greatest Common Factor of 887,728

To find the highest common factor of 887,728, we have to find the factors of both numbers and list the highest common factor.

The factors of 887 are 1, 887

The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

The HCF of 887,728 is 1.

Lets's calculate GCF of 887,728

Greatest Common Factor (GCF) of 887,728 By Common Division

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

Greatest Common Factor of 887,728 By Matching Biggest Common Factor Method

Now, list down the factors of 887

1,887

Now, list down the factors of 728

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 887,728 . The biggest common factor number is the GCF number.
So the greatest common factor 887,728 is 1.

Lets's calculate LCM of 822,401

Lowest Common Multiple of 822,401 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 329622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329622

Therefore, the GCF of Fractions 887/822,728/401 is 1/329622

Least Common Multiple of 822,401 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 822,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,401) = 1

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

GCF(822,401) x common factors =1 x 1 = 1

LCM(822,401) = ( 822 × 401 ) / 1

LCM(822,401) = 329622 / 1

LCM(822,401) = 329622

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FAQs on GCF of Fractions of 887/822, 728/401

1. What is the HCF of 887,728?

The HCF of 887,728 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 887/822, 728/401?

Answer: GCF of Numerators as per given numbers 887/822, 728/401 is

GCF of Numerators i.e. for 887,728 is 1

LCM of denominators i.e. for 822,401 is 329622.

Thus, GCF of Fractions is 1/329622.Finally, GCF of Fractions for 887/822, 728/401 is 1/329622.