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GCF of 8051/492, 1126/886

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 8051/492, 1126/886 i.e 1/217956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8051/492, 1126/886.

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 8051/492,1126/886?

Given fractions are 8051/492,1126/886

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 8051/492,1126/886, numerators are 8051,1126

Denominators are 492,886

The GCF of 8051,1126 is 1 .

LCM of 492,886 is 217956.

The greatest common factor of 8051/492,1126/886 = [GCF of 8051,1126]/[LCM of 492,886]= 1/217956

Therefore, the GCF of 8051/492,1126/886 is 1/217956.

Greatest Common Factor of 8051,1126

To find the highest common factor of 8051,1126, we have to find the factors of both numbers and list the highest common factor.

The factors of 8051 are 1, 83, 97, 8051

The factors of 1126 are 1, 2, 563, 1126

The HCF of 8051,1126 is 1.

Lets's calculate GCF of 8051,1126

Greatest Common Factor (GCF) of 8051,1126 By Common Division

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

Greatest Common Factor of 8051,1126 By Matching Biggest Common Factor Method

Greatest Common Factor of 8051,1126 By Matching Biggest Common Factor Method

Now, list down the factors of 8051

:

1,83,97,8051

Now, list down the factors of 1126

:

1,2,563,1126

Greatest Common Factor

We found the factors 8051,1126 . The biggest common factor number is the GCF number.
So the greatest common factor 8051,1126 is 1.

Lets's calculate LCM of 492,886

Lowest Common Multiple of 492,886 using Common Division

2 492, 886
246, 443

∴ So the LCM of the given numbers is 2 x 246 x 443 = 217956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217956

Therefore, the GCF of Fractions 8051/492,1126/886 is 1/217956

Least Common Multiple of 492,886 with GCF Formula

Least Common Multiple of 492,886 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 492,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,886) = 2

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

GCF(492,886) x common factors =2 x 1 = 2

LCM(492,886) = ( 492 × 886 ) / 2

LCM(492,886) = 435912 / 2

LCM(492,886) = 217956


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FAQs on GCF of Fractions of 8051/492, 1126/886

1. What is the HCF of 8051,1126?

The HCF of 8051,1126 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 8051/492, 1126/886?

Answer: GCF of Numerators as per given numbers 8051/492, 1126/886 is

GCF of Numerators i.e. for 8051,1126 is 1

LCM of denominators i.e. for 492,886 is 217956.

Thus, GCF of Fractions is 1/217956.Finally, GCF of Fractions for 8051/492, 1126/886 is 1/217956.