How to Find GCF of 8887/974, 5802/161?

GCF of 8887/974, 5802/161

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 8887/974, 5802/161 i.e 1/156814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8887/974, 5802/161.

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 8887/974,5802/161?

Given fractions are 8887/974,5802/161

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 8887/974,5802/161, numerators are 8887,5802

Denominators are 974,161

The GCF of 8887,5802 is 1 .

LCM of 974,161 is 156814.

The greatest common factor of 8887/974,5802/161 = [GCF of 8887,5802]/[LCM of 974,161]= 1/156814

Therefore, the GCF of 8887/974,5802/161 is 1/156814.

Greatest Common Factor of 8887,5802

To find the highest common factor of 8887,5802, we have to find the factors of both numbers and list the highest common factor.

The factors of 8887 are 1, 8887

The factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802

The HCF of 8887,5802 is 1.

Lets's calculate GCF of 8887,5802

Greatest Common Factor (GCF) of 8887,5802 By Common Division

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

Greatest Common Factor of 8887,5802 By Matching Biggest Common Factor Method

Now, list down the factors of 8887

1,8887

Now, list down the factors of 5802

1,2,3,6,967,1934,2901,5802

Greatest Common Factor

We found the factors 8887,5802 . The biggest common factor number is the GCF number.
So the greatest common factor 8887,5802 is 1.

Lets's calculate LCM of 974,161

Lowest Common Multiple of 974,161 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 156814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156814

Therefore, the GCF of Fractions 8887/974,5802/161 is 1/156814

Least Common Multiple of 974,161 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 974,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,161) = 1

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

GCF(974,161) x common factors =1 x 1 = 1

LCM(974,161) = ( 974 × 161 ) / 1

LCM(974,161) = 156814 / 1

LCM(974,161) = 156814

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FAQs on GCF of Fractions of 8887/974, 5802/161

1. What is the HCF of 8887,5802?

The HCF of 8887,5802 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 8887/974, 5802/161?

Answer: GCF of Numerators as per given numbers 8887/974, 5802/161 is

GCF of Numerators i.e. for 8887,5802 is 1

LCM of denominators i.e. for 974,161 is 156814.

Thus, GCF of Fractions is 1/156814.Finally, GCF of Fractions for 8887/974, 5802/161 is 1/156814.