How to Find GCF of 702/23, 846/485?

GCF of 702/23, 846/485

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 702/23, 846/485 i.e 18/11155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 702/23, 846/485.

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 702/23,846/485?

Given fractions are 702/23,846/485

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 702/23,846/485, numerators are 702,846

Denominators are 23,485

The GCF of 702,846 is 18 .

LCM of 23,485 is 11155.

The greatest common factor of 702/23,846/485 = [GCF of 702,846]/[LCM of 23,485]= 18/11155

Therefore, the GCF of 702/23,846/485 is 18/11155.

Greatest Common Factor of 702,846

To find the highest common factor of 702,846, we have to find the factors of both numbers and list the highest common factor.

The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

The HCF of 702,846 is 18.

Lets's calculate GCF of 702,846

Greatest Common Factor (GCF) of 702,846 By Common Division

2	702, 846
3	351, 423
3	117, 141
	39, 47

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 702,846 By Matching Biggest Common Factor Method

Now, list down the factors of 702

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Now, list down the factors of 846

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 702,846 . The biggest common factor number is the GCF number.
So the greatest common factor 702,846 is 18.

Lets's calculate LCM of 23,485

Lowest Common Multiple of 23,485 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 11155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/11155

Therefore, the GCF of Fractions 702/23,846/485 is 18/11155

Least Common Multiple of 23,485 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 23,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,485) = 1

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

GCF(23,485) x common factors =1 x 1 = 1

LCM(23,485) = ( 23 × 485 ) / 1

LCM(23,485) = 11155 / 1

LCM(23,485) = 11155

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FAQs on GCF of Fractions of 702/23, 846/485

1. What is the HCF of 702,846?

The HCF of 702,846 is 18

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 702/23, 846/485?

Answer: GCF of Numerators as per given numbers 702/23, 846/485 is

GCF of Numerators i.e. for 702,846 is 18

LCM of denominators i.e. for 23,485 is 11155.

Thus, GCF of Fractions is 18/11155.Finally, GCF of Fractions for 702/23, 846/485 is 18/11155.