How to Find GCF of 1093/882, 1902/9658?

GCF of 1093/882, 1902/9658

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 1093/882, 1902/9658 i.e 1/4259178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1093/882, 1902/9658.

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 1093/882,1902/9658?

Given fractions are 1093/882,1902/9658

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 1093/882,1902/9658, numerators are 1093,1902

Denominators are 882,9658

The GCF of 1093,1902 is 1 .

LCM of 882,9658 is 4259178.

The greatest common factor of 1093/882,1902/9658 = [GCF of 1093,1902]/[LCM of 882,9658]= 1/4259178

Therefore, the GCF of 1093/882,1902/9658 is 1/4259178.

Greatest Common Factor of 1093,1902

To find the highest common factor of 1093,1902, we have to find the factors of both numbers and list the highest common factor.

The factors of 1093 are 1, 1093

The factors of 1902 are 1, 2, 3, 6, 317, 634, 951, 1902

The HCF of 1093,1902 is 1.

Lets's calculate GCF of 1093,1902

Greatest Common Factor (GCF) of 1093,1902 By Common Division

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

Greatest Common Factor of 1093,1902 By Matching Biggest Common Factor Method

Now, list down the factors of 1093

1,1093

Now, list down the factors of 1902

1,2,3,6,317,634,951,1902

Greatest Common Factor

We found the factors 1093,1902 . The biggest common factor number is the GCF number.
So the greatest common factor 1093,1902 is 1.

Lets's calculate LCM of 882,9658

Lowest Common Multiple of 882,9658 using Common Division

2	882, 9658
	441, 4829

∴ So the LCM of the given numbers is 2 x 441 x 4829 = 4259178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4259178

Therefore, the GCF of Fractions 1093/882,1902/9658 is 1/4259178

Least Common Multiple of 882,9658 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 882,9658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,9658) = 2

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

GCF(882,9658) x common factors =2 x 1 = 2

LCM(882,9658) = ( 882 × 9658 ) / 2

LCM(882,9658) = 8518356 / 2

LCM(882,9658) = 4259178

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FAQs on GCF of Fractions of 1093/882, 1902/9658

1. What is the HCF of 1093,1902?

The HCF of 1093,1902 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 1093/882, 1902/9658?

Answer: GCF of Numerators as per given numbers 1093/882, 1902/9658 is

GCF of Numerators i.e. for 1093,1902 is 1

LCM of denominators i.e. for 882,9658 is 4259178.

Thus, GCF of Fractions is 1/4259178.Finally, GCF of Fractions for 1093/882, 1902/9658 is 1/4259178.