How to Find GCF of 5536/482, 6506/109?

GCF of 5536/482, 6506/109

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 5536/482, 6506/109 i.e 2/52538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5536/482, 6506/109.

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 5536/482,6506/109?

Given fractions are 5536/482,6506/109

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 5536/482,6506/109, numerators are 5536,6506

Denominators are 482,109

The GCF of 5536,6506 is 2 .

LCM of 482,109 is 52538.

The greatest common factor of 5536/482,6506/109 = [GCF of 5536,6506]/[LCM of 482,109]= 2/52538

Therefore, the GCF of 5536/482,6506/109 is 2/52538.

Greatest Common Factor of 5536,6506

To find the highest common factor of 5536,6506, we have to find the factors of both numbers and list the highest common factor.

The factors of 5536 are 1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536

The factors of 6506 are 1, 2, 3253, 6506

The HCF of 5536,6506 is 2.

Lets's calculate GCF of 5536,6506

Greatest Common Factor (GCF) of 5536,6506 By Common Division

2	5536, 6506
	2768, 3253

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

Greatest Common Factor of 5536,6506 By Matching Biggest Common Factor Method

Now, list down the factors of 5536

1,2,4,8,16,32,173,346,692,1384,2768,5536

Now, list down the factors of 6506

1,2,3253,6506

Greatest Common Factor

We found the factors 5536,6506 . The biggest common factor number is the GCF number.
So the greatest common factor 5536,6506 is 2.

Lets's calculate LCM of 482,109

Lowest Common Multiple of 482,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 52538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/52538

Therefore, the GCF of Fractions 5536/482,6506/109 is 2/52538

Least Common Multiple of 482,109 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 482,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,109) = 1

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

GCF(482,109) x common factors =1 x 1 = 1

LCM(482,109) = ( 482 × 109 ) / 1

LCM(482,109) = 52538 / 1

LCM(482,109) = 52538

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FAQs on GCF of Fractions of 5536/482, 6506/109

1. What is the HCF of 5536,6506?

The HCF of 5536,6506 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 5536/482, 6506/109?

Answer: GCF of Numerators as per given numbers 5536/482, 6506/109 is

GCF of Numerators i.e. for 5536,6506 is 2

LCM of denominators i.e. for 482,109 is 52538.

Thus, GCF of Fractions is 2/52538.Finally, GCF of Fractions for 5536/482, 6506/109 is 2/52538.