How to Find GCF of 6858/281, 5650/205?

GCF of 6858/281, 5650/205

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 6858/281, 5650/205 i.e 2/57605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6858/281, 5650/205.

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 6858/281,5650/205?

Given fractions are 6858/281,5650/205

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 6858/281,5650/205, numerators are 6858,5650

Denominators are 281,205

The GCF of 6858,5650 is 2 .

LCM of 281,205 is 57605.

The greatest common factor of 6858/281,5650/205 = [GCF of 6858,5650]/[LCM of 281,205]= 2/57605

Therefore, the GCF of 6858/281,5650/205 is 2/57605.

Greatest Common Factor of 6858,5650

To find the highest common factor of 6858,5650, we have to find the factors of both numbers and list the highest common factor.

The factors of 6858 are 1, 2, 3, 6, 9, 18, 27, 54, 127, 254, 381, 762, 1143, 2286, 3429, 6858

The factors of 5650 are 1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650

The HCF of 6858,5650 is 2.

Lets's calculate GCF of 6858,5650

Greatest Common Factor (GCF) of 6858,5650 By Common Division

2	6858, 5650
	3429, 2825

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

Greatest Common Factor of 6858,5650 By Matching Biggest Common Factor Method

Now, list down the factors of 6858

1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858

Now, list down the factors of 5650

1,2,5,10,25,50,113,226,565,1130,2825,5650

Greatest Common Factor

We found the factors 6858,5650 . The biggest common factor number is the GCF number.
So the greatest common factor 6858,5650 is 2.

Lets's calculate LCM of 281,205

Lowest Common Multiple of 281,205 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 57605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/57605

Therefore, the GCF of Fractions 6858/281,5650/205 is 2/57605

Least Common Multiple of 281,205 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 281,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,205) = 1

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

GCF(281,205) x common factors =1 x 1 = 1

LCM(281,205) = ( 281 × 205 ) / 1

LCM(281,205) = 57605 / 1

LCM(281,205) = 57605

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FAQs on GCF of Fractions of 6858/281, 5650/205

1. What is the HCF of 6858,5650?

The HCF of 6858,5650 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 6858/281, 5650/205?

Answer: GCF of Numerators as per given numbers 6858/281, 5650/205 is

GCF of Numerators i.e. for 6858,5650 is 2

LCM of denominators i.e. for 281,205 is 57605.

Thus, GCF of Fractions is 2/57605.Finally, GCF of Fractions for 6858/281, 5650/205 is 2/57605.