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GCF of 886/421, 2203/928

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 886/421, 2203/928 i.e 1/390688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/421, 2203/928.

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 886/421,2203/928?

Given fractions are 886/421,2203/928

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 886/421,2203/928, numerators are 886,2203

Denominators are 421,928

The GCF of 886,2203 is 1 .

LCM of 421,928 is 390688.

The greatest common factor of 886/421,2203/928 = [GCF of 886,2203]/[LCM of 421,928]= 1/390688

Therefore, the GCF of 886/421,2203/928 is 1/390688.

Greatest Common Factor of 886,2203

To find the highest common factor of 886,2203, we have to find the factors of both numbers and list the highest common factor.

The factors of 886 are 1, 2, 443, 886

The factors of 2203 are 1, 2203

The HCF of 886,2203 is 1.

Lets's calculate GCF of 886,2203

Greatest Common Factor (GCF) of 886,2203 By Common Division

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

Greatest Common Factor of 886,2203 By Matching Biggest Common Factor Method

Greatest Common Factor of 886,2203 By Matching Biggest Common Factor Method

Now, list down the factors of 886

:

1,2,443,886

Now, list down the factors of 2203

:

1,2203

Greatest Common Factor

We found the factors 886,2203 . The biggest common factor number is the GCF number.
So the greatest common factor 886,2203 is 1.

Lets's calculate LCM of 421,928

Lowest Common Multiple of 421,928 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 390688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390688

Therefore, the GCF of Fractions 886/421,2203/928 is 1/390688

Least Common Multiple of 421,928 with GCF Formula

Least Common Multiple of 421,928 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 421,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,928) = 1

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

GCF(421,928) x common factors =1 x 1 = 1

LCM(421,928) = ( 421 × 928 ) / 1

LCM(421,928) = 390688 / 1

LCM(421,928) = 390688


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FAQs on GCF of Fractions of 886/421, 2203/928

1. What is the HCF of 886,2203?

The HCF of 886,2203 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 886/421, 2203/928?

Answer: GCF of Numerators as per given numbers 886/421, 2203/928 is

GCF of Numerators i.e. for 886,2203 is 1

LCM of denominators i.e. for 421,928 is 390688.

Thus, GCF of Fractions is 1/390688.Finally, GCF of Fractions for 886/421, 2203/928 is 1/390688.