How to Find GCF of 4656/602, 2003/706?

GCF of 4656/602, 2003/706

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 4656/602, 2003/706 i.e 1/212506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4656/602, 2003/706.

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 4656/602,2003/706?

Given fractions are 4656/602,2003/706

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 4656/602,2003/706, numerators are 4656,2003

Denominators are 602,706

The GCF of 4656,2003 is 1 .

LCM of 602,706 is 212506.

The greatest common factor of 4656/602,2003/706 = [GCF of 4656,2003]/[LCM of 602,706]= 1/212506

Therefore, the GCF of 4656/602,2003/706 is 1/212506.

Greatest Common Factor of 4656,2003

To find the highest common factor of 4656,2003, we have to find the factors of both numbers and list the highest common factor.

The factors of 4656 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656

The factors of 2003 are 1, 2003

The HCF of 4656,2003 is 1.

Lets's calculate GCF of 4656,2003

Greatest Common Factor (GCF) of 4656,2003 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4656,2003 By Matching Biggest Common Factor Method

Now, list down the factors of 4656

1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656

Now, list down the factors of 2003

1,2003

Greatest Common Factor

We found the factors 4656,2003 . The biggest common factor number is the GCF number.
So the greatest common factor 4656,2003 is 1.

Lets's calculate LCM of 602,706

Lowest Common Multiple of 602,706 using Common Division

2	602, 706
	301, 353

∴ So the LCM of the given numbers is 2 x 301 x 353 = 212506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212506

Therefore, the GCF of Fractions 4656/602,2003/706 is 1/212506

Least Common Multiple of 602,706 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 602,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,706) = 2

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

GCF(602,706) x common factors =2 x 1 = 2

LCM(602,706) = ( 602 × 706 ) / 2

LCM(602,706) = 425012 / 2

LCM(602,706) = 212506

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FAQs on GCF of Fractions of 4656/602, 2003/706

1. What is the HCF of 4656,2003?

The HCF of 4656,2003 is 1

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 4656/602, 2003/706?

Answer: GCF of Numerators as per given numbers 4656/602, 2003/706 is

GCF of Numerators i.e. for 4656,2003 is 1

LCM of denominators i.e. for 602,706 is 212506.

Thus, GCF of Fractions is 1/212506.Finally, GCF of Fractions for 4656/602, 2003/706 is 1/212506.