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GCF of 886/26, 469/284

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 886/26, 469/284 i.e 1/3692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/26, 469/284.

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 886/26,469/284?

Given fractions are 886/26,469/284

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 886/26,469/284, numerators are 886,469

Denominators are 26,284

The GCF of 886,469 is 1 .

LCM of 26,284 is 3692.

The greatest common factor of 886/26,469/284 = [GCF of 886,469]/[LCM of 26,284]= 1/3692

Therefore, the GCF of 886/26,469/284 is 1/3692.

Greatest Common Factor of 886,469

To find the highest common factor of 886,469, 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 469 are 1, 7, 67, 469

The HCF of 886,469 is 1.

Lets's calculate GCF of 886,469

Greatest Common Factor (GCF) of 886,469 By Common Division

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

Greatest Common Factor of 886,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 886,469 By Matching Biggest Common Factor Method

Now, list down the factors of 886

:

1,2,443,886

Now, list down the factors of 469

:

1,7,67,469

Greatest Common Factor

We found the factors 886,469 . The biggest common factor number is the GCF number.
So the greatest common factor 886,469 is 1.

Lets's calculate LCM of 26,284

Lowest Common Multiple of 26,284 using Common Division

2 26, 284
13, 142

∴ So the LCM of the given numbers is 2 x 13 x 142 = 3692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3692

Therefore, the GCF of Fractions 886/26,469/284 is 1/3692

Least Common Multiple of 26,284 with GCF Formula

Least Common Multiple of 26,284 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 26,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,284) = 2

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

GCF(26,284) x common factors =2 x 1 = 2

LCM(26,284) = ( 26 × 284 ) / 2

LCM(26,284) = 7384 / 2

LCM(26,284) = 3692


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FAQs on GCF of Fractions of 886/26, 469/284

1. What is the HCF of 886,469?

The HCF of 886,469 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 886/26, 469/284?

Answer: GCF of Numerators as per given numbers 886/26, 469/284 is

GCF of Numerators i.e. for 886,469 is 1

LCM of denominators i.e. for 26,284 is 3692.

Thus, GCF of Fractions is 1/3692.Finally, GCF of Fractions for 886/26, 469/284 is 1/3692.