How to Find GCF of 7208/218, 2110/8510?

GCF of 7208/218, 2110/8510

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 7208/218, 2110/8510 i.e 2/927590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7208/218, 2110/8510.

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 7208/218,2110/8510?

Given fractions are 7208/218,2110/8510

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 7208/218,2110/8510, numerators are 7208,2110

Denominators are 218,8510

The GCF of 7208,2110 is 2 .

LCM of 218,8510 is 927590.

The greatest common factor of 7208/218,2110/8510 = [GCF of 7208,2110]/[LCM of 218,8510]= 2/927590

Therefore, the GCF of 7208/218,2110/8510 is 2/927590.

Greatest Common Factor of 7208,2110

To find the highest common factor of 7208,2110, we have to find the factors of both numbers and list the highest common factor.

The factors of 7208 are 1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208

The factors of 2110 are 1, 2, 5, 10, 211, 422, 1055, 2110

The HCF of 7208,2110 is 2.

Lets's calculate GCF of 7208,2110

Greatest Common Factor (GCF) of 7208,2110 By Common Division

2	7208, 2110
	3604, 1055

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7208,2110 By Matching Biggest Common Factor Method

Now, list down the factors of 7208

1,2,4,8,17,34,53,68,106,136,212,424,901,1802,3604,7208

Now, list down the factors of 2110

1,2,5,10,211,422,1055,2110

Greatest Common Factor

We found the factors 7208,2110 . The biggest common factor number is the GCF number.
So the greatest common factor 7208,2110 is 2.

Lets's calculate LCM of 218,8510

Lowest Common Multiple of 218,8510 using Common Division

2	218, 8510
	109, 4255

∴ So the LCM of the given numbers is 2 x 109 x 4255 = 927590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/927590

Therefore, the GCF of Fractions 7208/218,2110/8510 is 2/927590

Least Common Multiple of 218,8510 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 218,8510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,8510) = 2

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

GCF(218,8510) x common factors =2 x 1 = 2

LCM(218,8510) = ( 218 × 8510 ) / 2

LCM(218,8510) = 1855180 / 2

LCM(218,8510) = 927590

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FAQs on GCF of Fractions of 7208/218, 2110/8510

1. What is the HCF of 7208,2110?

The HCF of 7208,2110 is 2

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 7208/218, 2110/8510?

Answer: GCF of Numerators as per given numbers 7208/218, 2110/8510 is

GCF of Numerators i.e. for 7208,2110 is 2

LCM of denominators i.e. for 218,8510 is 927590.

Thus, GCF of Fractions is 2/927590.Finally, GCF of Fractions for 7208/218, 2110/8510 is 2/927590.