How to Find GCF of 955/76, 399/67, 219/41?

GCF of 955/76, 399/67, 219/41

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 955/76, 399/67, 219/41 i.e 1/208772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 955/76, 399/67, 219/41.

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 955/76,399/67,219/41?

Given fractions are 955/76,399/67,219/41

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 955/76,399/67,219/41, numerators are 955,399,219

Denominators are 76,67,41

The GCF of 955,399,219 is 1 .

LCM of 76,67,41 is 208772.

The greatest common factor of 955/76,399/67,219/41 = [GCF of 955,399,219]/[LCM of 76,67,41]= 1/208772

Therefore, the GCF of 955/76,399/67,219/41 is 1/208772.

Greatest Common Factor of 955,399,219

To find the highest common factor of 955,399,219, we have to find the factors of both numbers and list the highest common factor.

The factors of 955 are 1, 5, 191, 955

The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399

The factors of 219 are 1, 3, 73, 219

The HCF of 955,399,219 is 1.

Lets's calculate GCF of 955,399,219

Greatest Common Factor (GCF) of 955,399,219 By Common Division

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

Greatest Common Factor of 955,399,219 By Matching Biggest Common Factor Method

Now, list down the factors of 955

1,5,191,955

Now, list down the factors of 399

1,3,7,19,21,57,133,399

Now, list down the factors of 219

1,3,73,219

Greatest Common Factor

We found the factors 955,399,219 . The biggest common factor number is the GCF number.
So the greatest common factor 955,399,219 is 1.

Lets's calculate LCM of 76,67,41

Lowest Common Multiple of 76,67,41 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 208772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208772

Therefore, the GCF of Fractions 955/76,399/67,219/41 is 1/208772

Least Common Multiple of 76,67,41 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 76,67,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,67,41) = 1

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

GCF(76,67,41) x common factors =1 x 1 = 1

LCM(76,67,41) = ( 76 × 67 × 41 ) / 1

LCM(76,67,41) = 208772 / 1

LCM(76,67,41) = 208772

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FAQs on GCF of Fractions of 955/76, 399/67, 219/41

1. What is the HCF of 955,399,219?

The HCF of 955,399,219 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 955/76, 399/67, 219/41?

Answer: GCF of Numerators as per given numbers 955/76, 399/67, 219/41 is

GCF of Numerators i.e. for 955,399,219 is 1

LCM of denominators i.e. for 76,67,41 is 208772.

Thus, GCF of Fractions is 1/208772.Finally, GCF of Fractions for 955/76, 399/67, 219/41 is 1/208772.