How to Find GCF of 2351/250, 2210/7788?

GCF of 2351/250, 2210/7788

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 2351/250, 2210/7788 i.e 1/973500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2351/250, 2210/7788.

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 2351/250,2210/7788?

Given fractions are 2351/250,2210/7788

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 2351/250,2210/7788, numerators are 2351,2210

Denominators are 250,7788

The GCF of 2351,2210 is 1 .

LCM of 250,7788 is 973500.

The greatest common factor of 2351/250,2210/7788 = [GCF of 2351,2210]/[LCM of 250,7788]= 1/973500

Therefore, the GCF of 2351/250,2210/7788 is 1/973500.

Greatest Common Factor of 2351,2210

To find the highest common factor of 2351,2210, we have to find the factors of both numbers and list the highest common factor.

The factors of 2351 are 1, 2351

The factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210

The HCF of 2351,2210 is 1.

Lets's calculate GCF of 2351,2210

Greatest Common Factor (GCF) of 2351,2210 By Common Division

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

Greatest Common Factor of 2351,2210 By Matching Biggest Common Factor Method

Now, list down the factors of 2351

1,2351

Now, list down the factors of 2210

1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210

Greatest Common Factor

We found the factors 2351,2210 . The biggest common factor number is the GCF number.
So the greatest common factor 2351,2210 is 1.

Lets's calculate LCM of 250,7788

Lowest Common Multiple of 250,7788 using Common Division

2	250, 7788
	125, 3894

∴ So the LCM of the given numbers is 2 x 125 x 3894 = 973500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/973500

Therefore, the GCF of Fractions 2351/250,2210/7788 is 1/973500

Least Common Multiple of 250,7788 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 250,7788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,7788) = 2

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

GCF(250,7788) x common factors =2 x 1 = 2

LCM(250,7788) = ( 250 × 7788 ) / 2

LCM(250,7788) = 1947000 / 2

LCM(250,7788) = 973500

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FAQs on GCF of Fractions of 2351/250, 2210/7788

1. What is the HCF of 2351,2210?

The HCF of 2351,2210 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 2351/250, 2210/7788?

Answer: GCF of Numerators as per given numbers 2351/250, 2210/7788 is

GCF of Numerators i.e. for 2351,2210 is 1

LCM of denominators i.e. for 250,7788 is 973500.

Thus, GCF of Fractions is 1/973500.Finally, GCF of Fractions for 2351/250, 2210/7788 is 1/973500.