How to Find GCF of 4251/190, 4513/6899?

GCF of 4251/190, 4513/6899

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 4251/190, 4513/6899 i.e 1/1310810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4251/190, 4513/6899.

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 4251/190,4513/6899?

Given fractions are 4251/190,4513/6899

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 4251/190,4513/6899, numerators are 4251,4513

Denominators are 190,6899

The GCF of 4251,4513 is 1 .

LCM of 190,6899 is 1310810.

The greatest common factor of 4251/190,4513/6899 = [GCF of 4251,4513]/[LCM of 190,6899]= 1/1310810

Therefore, the GCF of 4251/190,4513/6899 is 1/1310810.

Greatest Common Factor of 4251,4513

To find the highest common factor of 4251,4513, we have to find the factors of both numbers and list the highest common factor.

The factors of 4251 are 1, 3, 13, 39, 109, 327, 1417, 4251

The factors of 4513 are 1, 4513

The HCF of 4251,4513 is 1.

Lets's calculate GCF of 4251,4513

Greatest Common Factor (GCF) of 4251,4513 By Common Division

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

Greatest Common Factor of 4251,4513 By Matching Biggest Common Factor Method

Now, list down the factors of 4251

1,3,13,39,109,327,1417,4251

Now, list down the factors of 4513

1,4513

Greatest Common Factor

We found the factors 4251,4513 . The biggest common factor number is the GCF number.
So the greatest common factor 4251,4513 is 1.

Lets's calculate LCM of 190,6899

Lowest Common Multiple of 190,6899 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1310810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1310810

Therefore, the GCF of Fractions 4251/190,4513/6899 is 1/1310810

Least Common Multiple of 190,6899 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 190,6899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,6899) = 1

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

GCF(190,6899) x common factors =1 x 1 = 1

LCM(190,6899) = ( 190 × 6899 ) / 1

LCM(190,6899) = 1310810 / 1

LCM(190,6899) = 1310810

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FAQs on GCF of Fractions of 4251/190, 4513/6899

1. What is the HCF of 4251,4513?

The HCF of 4251,4513 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 4251/190, 4513/6899?

Answer: GCF of Numerators as per given numbers 4251/190, 4513/6899 is

GCF of Numerators i.e. for 4251,4513 is 1

LCM of denominators i.e. for 190,6899 is 1310810.

Thus, GCF of Fractions is 1/1310810.Finally, GCF of Fractions for 4251/190, 4513/6899 is 1/1310810.