How to Find GCF of 4710/663, 2230/2785?

GCF of 4710/663, 2230/2785

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 4710/663, 2230/2785 i.e 10/1846455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4710/663, 2230/2785.

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 4710/663,2230/2785?

Given fractions are 4710/663,2230/2785

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 4710/663,2230/2785, numerators are 4710,2230

Denominators are 663,2785

The GCF of 4710,2230 is 10 .

LCM of 663,2785 is 1846455.

The greatest common factor of 4710/663,2230/2785 = [GCF of 4710,2230]/[LCM of 663,2785]= 10/1846455

Therefore, the GCF of 4710/663,2230/2785 is 10/1846455.

Greatest Common Factor of 4710,2230

To find the highest common factor of 4710,2230, we have to find the factors of both numbers and list the highest common factor.

The factors of 4710 are 1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710

The factors of 2230 are 1, 2, 5, 10, 223, 446, 1115, 2230

The HCF of 4710,2230 is 10.

Lets's calculate GCF of 4710,2230

Greatest Common Factor (GCF) of 4710,2230 By Common Division

2	4710, 2230
5	2355, 1115
	471, 223

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 4710,2230 By Matching Biggest Common Factor Method

Now, list down the factors of 4710

1,2,3,5,6,10,15,30,157,314,471,785,942,1570,2355,4710

Now, list down the factors of 2230

1,2,5,10,223,446,1115,2230

Greatest Common Factor

We found the factors 4710,2230 . The biggest common factor number is the GCF number.
So the greatest common factor 4710,2230 is 10.

Lets's calculate LCM of 663,2785

Lowest Common Multiple of 663,2785 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1846455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1846455

Therefore, the GCF of Fractions 4710/663,2230/2785 is 10/1846455

Least Common Multiple of 663,2785 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 663,2785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,2785) = 1

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

GCF(663,2785) x common factors =1 x 1 = 1

LCM(663,2785) = ( 663 × 2785 ) / 1

LCM(663,2785) = 1846455 / 1

LCM(663,2785) = 1846455

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FAQs on GCF of Fractions of 4710/663, 2230/2785

1. What is the HCF of 4710,2230?

The HCF of 4710,2230 is 10

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 4710/663, 2230/2785?

Answer: GCF of Numerators as per given numbers 4710/663, 2230/2785 is

GCF of Numerators i.e. for 4710,2230 is 10

LCM of denominators i.e. for 663,2785 is 1846455.

Thus, GCF of Fractions is 10/1846455.Finally, GCF of Fractions for 4710/663, 2230/2785 is 10/1846455.