How to Find GCF of 619/210, 3640/457?

GCF of 619/210, 3640/457

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 619/210, 3640/457 i.e 1/95970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 619/210, 3640/457.

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 619/210,3640/457?

Given fractions are 619/210,3640/457

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 619/210,3640/457, numerators are 619,3640

Denominators are 210,457

The GCF of 619,3640 is 1 .

LCM of 210,457 is 95970.

The greatest common factor of 619/210,3640/457 = [GCF of 619,3640]/[LCM of 210,457]= 1/95970

Therefore, the GCF of 619/210,3640/457 is 1/95970.

Greatest Common Factor of 619,3640

To find the highest common factor of 619,3640, we have to find the factors of both numbers and list the highest common factor.

The factors of 619 are 1, 619

The factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640

The HCF of 619,3640 is 1.

Lets's calculate GCF of 619,3640

Greatest Common Factor (GCF) of 619,3640 By Common Division

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

Greatest Common Factor of 619,3640 By Matching Biggest Common Factor Method

Now, list down the factors of 619

1,619

Now, list down the factors of 3640

1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640

Greatest Common Factor

We found the factors 619,3640 . The biggest common factor number is the GCF number.
So the greatest common factor 619,3640 is 1.

Lets's calculate LCM of 210,457

Lowest Common Multiple of 210,457 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 95970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95970

Therefore, the GCF of Fractions 619/210,3640/457 is 1/95970

Least Common Multiple of 210,457 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 210,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,457) = 1

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

GCF(210,457) x common factors =1 x 1 = 1

LCM(210,457) = ( 210 × 457 ) / 1

LCM(210,457) = 95970 / 1

LCM(210,457) = 95970

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FAQs on GCF of Fractions of 619/210, 3640/457

1. What is the HCF of 619,3640?

The HCF of 619,3640 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 619/210, 3640/457?

Answer: GCF of Numerators as per given numbers 619/210, 3640/457 is

GCF of Numerators i.e. for 619,3640 is 1

LCM of denominators i.e. for 210,457 is 95970.

Thus, GCF of Fractions is 1/95970.Finally, GCF of Fractions for 619/210, 3640/457 is 1/95970.