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GCF of 4562/80, 5898/141

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 4562/80, 5898/141 i.e 2/11280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4562/80, 5898/141.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4562/80,5898/141?

Given fractions are 4562/80,5898/141

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 4562/80,5898/141, numerators are 4562,5898

Denominators are 80,141

The GCF of 4562,5898 is 2 .

LCM of 80,141 is 11280.

The greatest common factor of 4562/80,5898/141 = [GCF of 4562,5898]/[LCM of 80,141]= 2/11280

Therefore, the GCF of 4562/80,5898/141 is 2/11280.

Greatest Common Factor of 4562,5898

To find the highest common factor of 4562,5898, we have to find the factors of both numbers and list the highest common factor.

The factors of 4562 are 1, 2, 2281, 4562

The factors of 5898 are 1, 2, 3, 6, 983, 1966, 2949, 5898

The HCF of 4562,5898 is 2.

Lets's calculate GCF of 4562,5898

Greatest Common Factor (GCF) of 4562,5898 By Common Division

2 4562, 5898
2281, 2949

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

Greatest Common Factor of 4562,5898 By Matching Biggest Common Factor Method

Greatest Common Factor of 4562,5898 By Matching Biggest Common Factor Method

Now, list down the factors of 4562

:

1,2,2281,4562

Now, list down the factors of 5898

:

1,2,3,6,983,1966,2949,5898

Greatest Common Factor

We found the factors 4562,5898 . The biggest common factor number is the GCF number.
So the greatest common factor 4562,5898 is 2.

Lets's calculate LCM of 80,141

Lowest Common Multiple of 80,141 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 11280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11280

Therefore, the GCF of Fractions 4562/80,5898/141 is 2/11280

Least Common Multiple of 80,141 with GCF Formula

Least Common Multiple of 80,141 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 80,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,141) = 1

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

GCF(80,141) x common factors =1 x 1 = 1

LCM(80,141) = ( 80 × 141 ) / 1

LCM(80,141) = 11280 / 1

LCM(80,141) = 11280


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FAQs on GCF of Fractions of 4562/80, 5898/141

1. What is the HCF of 4562,5898?

The HCF of 4562,5898 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 4562/80, 5898/141?

Answer: GCF of Numerators as per given numbers 4562/80, 5898/141 is

GCF of Numerators i.e. for 4562,5898 is 2

LCM of denominators i.e. for 80,141 is 11280.

Thus, GCF of Fractions is 2/11280.Finally, GCF of Fractions for 4562/80, 5898/141 is 2/11280.