How to Find GCF of 7004/342, 8487/2510?

GCF of 7004/342, 8487/2510

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 7004/342, 8487/2510 i.e 1/429210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7004/342, 8487/2510.

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 7004/342,8487/2510?

Given fractions are 7004/342,8487/2510

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 7004/342,8487/2510, numerators are 7004,8487

Denominators are 342,2510

The GCF of 7004,8487 is 1 .

LCM of 342,2510 is 429210.

The greatest common factor of 7004/342,8487/2510 = [GCF of 7004,8487]/[LCM of 342,2510]= 1/429210

Therefore, the GCF of 7004/342,8487/2510 is 1/429210.

Greatest Common Factor of 7004,8487

To find the highest common factor of 7004,8487, we have to find the factors of both numbers and list the highest common factor.

The factors of 7004 are 1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004

The factors of 8487 are 1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829, 8487

The HCF of 7004,8487 is 1.

Lets's calculate GCF of 7004,8487

Greatest Common Factor (GCF) of 7004,8487 By Common Division

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

Greatest Common Factor of 7004,8487 By Matching Biggest Common Factor Method

Now, list down the factors of 7004

1,2,4,17,34,68,103,206,412,1751,3502,7004

Now, list down the factors of 8487

1,3,9,23,41,69,123,207,369,943,2829,8487

Greatest Common Factor

We found the factors 7004,8487 . The biggest common factor number is the GCF number.
So the greatest common factor 7004,8487 is 1.

Lets's calculate LCM of 342,2510

Lowest Common Multiple of 342,2510 using Common Division

2	342, 2510
	171, 1255

∴ So the LCM of the given numbers is 2 x 171 x 1255 = 429210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429210

Therefore, the GCF of Fractions 7004/342,8487/2510 is 1/429210

Least Common Multiple of 342,2510 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 342,2510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,2510) = 2

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

GCF(342,2510) x common factors =2 x 1 = 2

LCM(342,2510) = ( 342 × 2510 ) / 2

LCM(342,2510) = 858420 / 2

LCM(342,2510) = 429210

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FAQs on GCF of Fractions of 7004/342, 8487/2510

1. What is the HCF of 7004,8487?

The HCF of 7004,8487 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 7004/342, 8487/2510?

Answer: GCF of Numerators as per given numbers 7004/342, 8487/2510 is

GCF of Numerators i.e. for 7004,8487 is 1

LCM of denominators i.e. for 342,2510 is 429210.

Thus, GCF of Fractions is 1/429210.Finally, GCF of Fractions for 7004/342, 8487/2510 is 1/429210.