How to Find GCF of 5534/601, 5530/4770?

GCF of 5534/601, 5530/4770

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 5534/601, 5530/4770 i.e 2/2866770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5534/601, 5530/4770.

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 5534/601,5530/4770?

Given fractions are 5534/601,5530/4770

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 5534/601,5530/4770, numerators are 5534,5530

Denominators are 601,4770

The GCF of 5534,5530 is 2 .

LCM of 601,4770 is 2866770.

The greatest common factor of 5534/601,5530/4770 = [GCF of 5534,5530]/[LCM of 601,4770]= 2/2866770

Therefore, the GCF of 5534/601,5530/4770 is 2/2866770.

Greatest Common Factor of 5534,5530

To find the highest common factor of 5534,5530, we have to find the factors of both numbers and list the highest common factor.

The factors of 5534 are 1, 2, 2767, 5534

The factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530

The HCF of 5534,5530 is 2.

Lets's calculate GCF of 5534,5530

Greatest Common Factor (GCF) of 5534,5530 By Common Division

2	5534, 5530
	2767, 2765

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5534,5530 By Matching Biggest Common Factor Method

Now, list down the factors of 5534

1,2,2767,5534

Now, list down the factors of 5530

1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530

Greatest Common Factor

We found the factors 5534,5530 . The biggest common factor number is the GCF number.
So the greatest common factor 5534,5530 is 2.

Lets's calculate LCM of 601,4770

Lowest Common Multiple of 601,4770 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2866770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2866770

Therefore, the GCF of Fractions 5534/601,5530/4770 is 2/2866770

Least Common Multiple of 601,4770 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 601,4770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,4770) = 1

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

GCF(601,4770) x common factors =1 x 1 = 1

LCM(601,4770) = ( 601 × 4770 ) / 1

LCM(601,4770) = 2866770 / 1

LCM(601,4770) = 2866770

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FAQs on GCF of Fractions of 5534/601, 5530/4770

1. What is the HCF of 5534,5530?

The HCF of 5534,5530 is 2

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 5534/601, 5530/4770?

Answer: GCF of Numerators as per given numbers 5534/601, 5530/4770 is

GCF of Numerators i.e. for 5534,5530 is 2

LCM of denominators i.e. for 601,4770 is 2866770.

Thus, GCF of Fractions is 2/2866770.Finally, GCF of Fractions for 5534/601, 5530/4770 is 2/2866770.