How to Find GCF of 4021/419, 1470/7144?

GCF of 4021/419, 1470/7144

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 4021/419, 1470/7144 i.e 1/2993336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4021/419, 1470/7144.

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 4021/419,1470/7144?

Given fractions are 4021/419,1470/7144

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 4021/419,1470/7144, numerators are 4021,1470

Denominators are 419,7144

The GCF of 4021,1470 is 1 .

LCM of 419,7144 is 2993336.

The greatest common factor of 4021/419,1470/7144 = [GCF of 4021,1470]/[LCM of 419,7144]= 1/2993336

Therefore, the GCF of 4021/419,1470/7144 is 1/2993336.

Greatest Common Factor of 4021,1470

To find the highest common factor of 4021,1470, we have to find the factors of both numbers and list the highest common factor.

The factors of 4021 are 1, 4021

The factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470

The HCF of 4021,1470 is 1.

Lets's calculate GCF of 4021,1470

Greatest Common Factor (GCF) of 4021,1470 By Common Division

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

Greatest Common Factor of 4021,1470 By Matching Biggest Common Factor Method

Now, list down the factors of 4021

1,4021

Now, list down the factors of 1470

1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470

Greatest Common Factor

We found the factors 4021,1470 . The biggest common factor number is the GCF number.
So the greatest common factor 4021,1470 is 1.

Lets's calculate LCM of 419,7144

Lowest Common Multiple of 419,7144 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2993336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2993336

Therefore, the GCF of Fractions 4021/419,1470/7144 is 1/2993336

Least Common Multiple of 419,7144 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 419,7144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,7144) = 1

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

GCF(419,7144) x common factors =1 x 1 = 1

LCM(419,7144) = ( 419 × 7144 ) / 1

LCM(419,7144) = 2993336 / 1

LCM(419,7144) = 2993336

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FAQs on GCF of Fractions of 4021/419, 1470/7144

1. What is the HCF of 4021,1470?

The HCF of 4021,1470 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 4021/419, 1470/7144?

Answer: GCF of Numerators as per given numbers 4021/419, 1470/7144 is

GCF of Numerators i.e. for 4021,1470 is 1

LCM of denominators i.e. for 419,7144 is 2993336.

Thus, GCF of Fractions is 1/2993336.Finally, GCF of Fractions for 4021/419, 1470/7144 is 1/2993336.