How to Find GCF of 886/736, 5503/996?

GCF of 886/736, 5503/996

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 886/736, 5503/996 i.e 1/183264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/736, 5503/996.

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 886/736,5503/996?

Given fractions are 886/736,5503/996

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 886/736,5503/996, numerators are 886,5503

Denominators are 736,996

The GCF of 886,5503 is 1 .

LCM of 736,996 is 183264.

The greatest common factor of 886/736,5503/996 = [GCF of 886,5503]/[LCM of 736,996]= 1/183264

Therefore, the GCF of 886/736,5503/996 is 1/183264.

Greatest Common Factor of 886,5503

To find the highest common factor of 886,5503, we have to find the factors of both numbers and list the highest common factor.

The factors of 886 are 1, 2, 443, 886

The factors of 5503 are 1, 5503

The HCF of 886,5503 is 1.

Lets's calculate GCF of 886,5503

Greatest Common Factor (GCF) of 886,5503 By Common Division

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

Greatest Common Factor of 886,5503 By Matching Biggest Common Factor Method

Now, list down the factors of 886

1,2,443,886

Now, list down the factors of 5503

1,5503

Greatest Common Factor

We found the factors 886,5503 . The biggest common factor number is the GCF number.
So the greatest common factor 886,5503 is 1.

Lets's calculate LCM of 736,996

Lowest Common Multiple of 736,996 using Common Division

2	736, 996
2	368, 498
	184, 249

∴ So the LCM of the given numbers is 2 x 2 x 184 x 249 = 183264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183264

Therefore, the GCF of Fractions 886/736,5503/996 is 1/183264

Least Common Multiple of 736,996 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 736,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,996) = 4

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

GCF(736,996) x common factors =4 x 1 = 4

LCM(736,996) = ( 736 × 996 ) / 4

LCM(736,996) = 733056 / 4

LCM(736,996) = 183264

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FAQs on GCF of Fractions of 886/736, 5503/996

1. What is the HCF of 886,5503?

The HCF of 886,5503 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 886/736, 5503/996?

Answer: GCF of Numerators as per given numbers 886/736, 5503/996 is

GCF of Numerators i.e. for 886,5503 is 1

LCM of denominators i.e. for 736,996 is 183264.

Thus, GCF of Fractions is 1/183264.Finally, GCF of Fractions for 886/736, 5503/996 is 1/183264.