How to Find GCF of 4526/341, 5510/241?

GCF of 4526/341, 5510/241

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 4526/341, 5510/241 i.e 2/82181 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4526/341, 5510/241.

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 4526/341,5510/241?

Given fractions are 4526/341,5510/241

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 4526/341,5510/241, numerators are 4526,5510

Denominators are 341,241

The GCF of 4526,5510 is 2 .

LCM of 341,241 is 82181.

The greatest common factor of 4526/341,5510/241 = [GCF of 4526,5510]/[LCM of 341,241]= 2/82181

Therefore, the GCF of 4526/341,5510/241 is 2/82181.

Greatest Common Factor of 4526,5510

To find the highest common factor of 4526,5510, we have to find the factors of both numbers and list the highest common factor.

The factors of 4526 are 1, 2, 31, 62, 73, 146, 2263, 4526

The factors of 5510 are 1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755, 5510

The HCF of 4526,5510 is 2.

Lets's calculate GCF of 4526,5510

Greatest Common Factor (GCF) of 4526,5510 By Common Division

2	4526, 5510
	2263, 2755

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

Greatest Common Factor of 4526,5510 By Matching Biggest Common Factor Method

Now, list down the factors of 4526

1,2,31,62,73,146,2263,4526

Now, list down the factors of 5510

1,2,5,10,19,29,38,58,95,145,190,290,551,1102,2755,5510

Greatest Common Factor

We found the factors 4526,5510 . The biggest common factor number is the GCF number.
So the greatest common factor 4526,5510 is 2.

Lets's calculate LCM of 341,241

Lowest Common Multiple of 341,241 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 82181

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/82181

Therefore, the GCF of Fractions 4526/341,5510/241 is 2/82181

Least Common Multiple of 341,241 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 341,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,241) = 1

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

GCF(341,241) x common factors =1 x 1 = 1

LCM(341,241) = ( 341 × 241 ) / 1

LCM(341,241) = 82181 / 1

LCM(341,241) = 82181

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FAQs on GCF of Fractions of 4526/341, 5510/241

1. What is the HCF of 4526,5510?

The HCF of 4526,5510 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 4526/341, 5510/241?

Answer: GCF of Numerators as per given numbers 4526/341, 5510/241 is

GCF of Numerators i.e. for 4526,5510 is 2

LCM of denominators i.e. for 341,241 is 82181.

Thus, GCF of Fractions is 2/82181.Finally, GCF of Fractions for 4526/341, 5510/241 is 2/82181.