How to Find GCF of 5506/550, 3015/7666?

GCF of 5506/550, 3015/7666

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 5506/550, 3015/7666 i.e 1/2108150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5506/550, 3015/7666.

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 5506/550,3015/7666?

Given fractions are 5506/550,3015/7666

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 5506/550,3015/7666, numerators are 5506,3015

Denominators are 550,7666

The GCF of 5506,3015 is 1 .

LCM of 550,7666 is 2108150.

The greatest common factor of 5506/550,3015/7666 = [GCF of 5506,3015]/[LCM of 550,7666]= 1/2108150

Therefore, the GCF of 5506/550,3015/7666 is 1/2108150.

Greatest Common Factor of 5506,3015

To find the highest common factor of 5506,3015, we have to find the factors of both numbers and list the highest common factor.

The factors of 5506 are 1, 2, 2753, 5506

The factors of 3015 are 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015

The HCF of 5506,3015 is 1.

Lets's calculate GCF of 5506,3015

Greatest Common Factor (GCF) of 5506,3015 By Common Division

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

Greatest Common Factor of 5506,3015 By Matching Biggest Common Factor Method

Now, list down the factors of 5506

1,2,2753,5506

Now, list down the factors of 3015

1,3,5,9,15,45,67,201,335,603,1005,3015

Greatest Common Factor

We found the factors 5506,3015 . The biggest common factor number is the GCF number.
So the greatest common factor 5506,3015 is 1.

Lets's calculate LCM of 550,7666

Lowest Common Multiple of 550,7666 using Common Division

2	550, 7666
	275, 3833

∴ So the LCM of the given numbers is 2 x 275 x 3833 = 2108150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2108150

Therefore, the GCF of Fractions 5506/550,3015/7666 is 1/2108150

Least Common Multiple of 550,7666 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 550,7666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,7666) = 2

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

GCF(550,7666) x common factors =2 x 1 = 2

LCM(550,7666) = ( 550 × 7666 ) / 2

LCM(550,7666) = 4216300 / 2

LCM(550,7666) = 2108150

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FAQs on GCF of Fractions of 5506/550, 3015/7666

1. What is the HCF of 5506,3015?

The HCF of 5506,3015 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 5506/550, 3015/7666?

Answer: GCF of Numerators as per given numbers 5506/550, 3015/7666 is

GCF of Numerators i.e. for 5506,3015 is 1

LCM of denominators i.e. for 550,7666 is 2108150.

Thus, GCF of Fractions is 1/2108150.Finally, GCF of Fractions for 5506/550, 3015/7666 is 1/2108150.