How to Find GCF of 4370/555, 2806/143?

GCF of 4370/555, 2806/143

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 4370/555, 2806/143 i.e 46/79365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4370/555, 2806/143.

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 4370/555,2806/143?

Given fractions are 4370/555,2806/143

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 4370/555,2806/143, numerators are 4370,2806

Denominators are 555,143

The GCF of 4370,2806 is 46 .

LCM of 555,143 is 79365.

The greatest common factor of 4370/555,2806/143 = [GCF of 4370,2806]/[LCM of 555,143]= 46/79365

Therefore, the GCF of 4370/555,2806/143 is 46/79365.

Greatest Common Factor of 4370,2806

To find the highest common factor of 4370,2806, we have to find the factors of both numbers and list the highest common factor.

The factors of 4370 are 1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370

The factors of 2806 are 1, 2, 23, 46, 61, 122, 1403, 2806

The HCF of 4370,2806 is 46.

Lets's calculate GCF of 4370,2806

Greatest Common Factor (GCF) of 4370,2806 By Common Division

2	4370, 2806
23	2185, 1403
	95, 61

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 4370,2806 By Matching Biggest Common Factor Method

Now, list down the factors of 4370

1,2,5,10,19,23,38,46,95,115,190,230,437,874,2185,4370

Now, list down the factors of 2806

1,2,23,46,61,122,1403,2806

Greatest Common Factor

We found the factors 4370,2806 . The biggest common factor number is the GCF number.
So the greatest common factor 4370,2806 is 46.

Lets's calculate LCM of 555,143

Lowest Common Multiple of 555,143 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 79365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/79365

Therefore, the GCF of Fractions 4370/555,2806/143 is 46/79365

Least Common Multiple of 555,143 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 555,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(555,143) = 1

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

GCF(555,143) x common factors =1 x 1 = 1

LCM(555,143) = ( 555 × 143 ) / 1

LCM(555,143) = 79365 / 1

LCM(555,143) = 79365

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FAQs on GCF of Fractions of 4370/555, 2806/143

1. What is the HCF of 4370,2806?

The HCF of 4370,2806 is 46

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 4370/555, 2806/143?

Answer: GCF of Numerators as per given numbers 4370/555, 2806/143 is

GCF of Numerators i.e. for 4370,2806 is 46

LCM of denominators i.e. for 555,143 is 79365.

Thus, GCF of Fractions is 46/79365.Finally, GCF of Fractions for 4370/555, 2806/143 is 46/79365.