How to Find GCF of 5417/882, 8027/3646?

GCF of 5417/882, 8027/3646

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 5417/882, 8027/3646 i.e 1/1607886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5417/882, 8027/3646.

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 5417/882,8027/3646?

Given fractions are 5417/882,8027/3646

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 5417/882,8027/3646, numerators are 5417,8027

Denominators are 882,3646

The GCF of 5417,8027 is 1 .

LCM of 882,3646 is 1607886.

The greatest common factor of 5417/882,8027/3646 = [GCF of 5417,8027]/[LCM of 882,3646]= 1/1607886

Therefore, the GCF of 5417/882,8027/3646 is 1/1607886.

Greatest Common Factor of 5417,8027

To find the highest common factor of 5417,8027, we have to find the factors of both numbers and list the highest common factor.

The factors of 5417 are 1, 5417

The factors of 8027 are 1, 23, 349, 8027

The HCF of 5417,8027 is 1.

Lets's calculate GCF of 5417,8027

Greatest Common Factor (GCF) of 5417,8027 By Common Division

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

Greatest Common Factor of 5417,8027 By Matching Biggest Common Factor Method

Now, list down the factors of 5417

1,5417

Now, list down the factors of 8027

1,23,349,8027

Greatest Common Factor

We found the factors 5417,8027 . The biggest common factor number is the GCF number.
So the greatest common factor 5417,8027 is 1.

Lets's calculate LCM of 882,3646

Lowest Common Multiple of 882,3646 using Common Division

2	882, 3646
	441, 1823

∴ So the LCM of the given numbers is 2 x 441 x 1823 = 1607886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1607886

Therefore, the GCF of Fractions 5417/882,8027/3646 is 1/1607886

Least Common Multiple of 882,3646 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 882,3646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,3646) = 2

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

GCF(882,3646) x common factors =2 x 1 = 2

LCM(882,3646) = ( 882 × 3646 ) / 2

LCM(882,3646) = 3215772 / 2

LCM(882,3646) = 1607886

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FAQs on GCF of Fractions of 5417/882, 8027/3646

1. What is the HCF of 5417,8027?

The HCF of 5417,8027 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 5417/882, 8027/3646?

Answer: GCF of Numerators as per given numbers 5417/882, 8027/3646 is

GCF of Numerators i.e. for 5417,8027 is 1

LCM of denominators i.e. for 882,3646 is 1607886.

Thus, GCF of Fractions is 1/1607886.Finally, GCF of Fractions for 5417/882, 8027/3646 is 1/1607886.