How to Find GCF of 5527/839, 8365/9459?

GCF of 5527/839, 8365/9459

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 5527/839, 8365/9459 i.e 1/7936101 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5527/839, 8365/9459.

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 5527/839,8365/9459?

Given fractions are 5527/839,8365/9459

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 5527/839,8365/9459, numerators are 5527,8365

Denominators are 839,9459

The GCF of 5527,8365 is 1 .

LCM of 839,9459 is 7936101.

The greatest common factor of 5527/839,8365/9459 = [GCF of 5527,8365]/[LCM of 839,9459]= 1/7936101

Therefore, the GCF of 5527/839,8365/9459 is 1/7936101.

Greatest Common Factor of 5527,8365

To find the highest common factor of 5527,8365, we have to find the factors of both numbers and list the highest common factor.

The factors of 5527 are 1, 5527

The factors of 8365 are 1, 5, 7, 35, 239, 1195, 1673, 8365

The HCF of 5527,8365 is 1.

Lets's calculate GCF of 5527,8365

Greatest Common Factor (GCF) of 5527,8365 By Common Division

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

Greatest Common Factor of 5527,8365 By Matching Biggest Common Factor Method

Now, list down the factors of 5527

1,5527

Now, list down the factors of 8365

1,5,7,35,239,1195,1673,8365

Greatest Common Factor

We found the factors 5527,8365 . The biggest common factor number is the GCF number.
So the greatest common factor 5527,8365 is 1.

Lets's calculate LCM of 839,9459

Lowest Common Multiple of 839,9459 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7936101

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7936101

Therefore, the GCF of Fractions 5527/839,8365/9459 is 1/7936101

Least Common Multiple of 839,9459 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 839,9459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,9459) = 1

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

GCF(839,9459) x common factors =1 x 1 = 1

LCM(839,9459) = ( 839 × 9459 ) / 1

LCM(839,9459) = 7936101 / 1

LCM(839,9459) = 7936101

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FAQs on GCF of Fractions of 5527/839, 8365/9459

1. What is the HCF of 5527,8365?

The HCF of 5527,8365 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 5527/839, 8365/9459?

Answer: GCF of Numerators as per given numbers 5527/839, 8365/9459 is

GCF of Numerators i.e. for 5527,8365 is 1

LCM of denominators i.e. for 839,9459 is 7936101.

Thus, GCF of Fractions is 1/7936101.Finally, GCF of Fractions for 5527/839, 8365/9459 is 1/7936101.