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GCF of 215/40, 419/4708

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 215/40, 419/4708 i.e 1/47080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 215/40, 419/4708.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 215/40,419/4708?

Given fractions are 215/40,419/4708

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 215/40,419/4708, numerators are 215,419

Denominators are 40,4708

The GCF of 215,419 is 1 .

LCM of 40,4708 is 47080.

The greatest common factor of 215/40,419/4708 = [GCF of 215,419]/[LCM of 40,4708]= 1/47080

Therefore, the GCF of 215/40,419/4708 is 1/47080.

Greatest Common Factor of 215,419

To find the highest common factor of 215,419, we have to find the factors of both numbers and list the highest common factor.

The factors of 215 are 1, 5, 43, 215

The factors of 419 are 1, 419

The HCF of 215,419 is 1.

Lets's calculate GCF of 215,419

Greatest Common Factor (GCF) of 215,419 By Common Division

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

Greatest Common Factor of 215,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,419 By Matching Biggest Common Factor Method

Now, list down the factors of 215

:

1,5,43,215

Now, list down the factors of 419

:

1,419

Greatest Common Factor

We found the factors 215,419 . The biggest common factor number is the GCF number.
So the greatest common factor 215,419 is 1.

Lets's calculate LCM of 40,4708

Lowest Common Multiple of 40,4708 using Common Division

2 40, 4708
2 20, 2354
10, 1177

∴ So the LCM of the given numbers is 2 x 2 x 10 x 1177 = 47080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47080

Therefore, the GCF of Fractions 215/40,419/4708 is 1/47080

Least Common Multiple of 40,4708 with GCF Formula

Least Common Multiple of 40,4708 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 40,4708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,4708) = 4

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

GCF(40,4708) x common factors =4 x 1 = 4

LCM(40,4708) = ( 40 × 4708 ) / 4

LCM(40,4708) = 188320 / 4

LCM(40,4708) = 47080


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FAQs on GCF of Fractions of 215/40, 419/4708

1. What is the HCF of 215,419?

The HCF of 215,419 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 215/40, 419/4708?

Answer: GCF of Numerators as per given numbers 215/40, 419/4708 is

GCF of Numerators i.e. for 215,419 is 1

LCM of denominators i.e. for 40,4708 is 47080.

Thus, GCF of Fractions is 1/47080.Finally, GCF of Fractions for 215/40, 419/4708 is 1/47080.