How to Find GCF of 196/417, 885/977?

GCF of 196/417, 885/977

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 196/417, 885/977 i.e 1/407409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 196/417, 885/977.

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 196/417,885/977?

Given fractions are 196/417,885/977

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 196/417,885/977, numerators are 196,885

Denominators are 417,977

The GCF of 196,885 is 1 .

LCM of 417,977 is 407409.

The greatest common factor of 196/417,885/977 = [GCF of 196,885]/[LCM of 417,977]= 1/407409

Therefore, the GCF of 196/417,885/977 is 1/407409.

Greatest Common Factor of 196,885

To find the highest common factor of 196,885, we have to find the factors of both numbers and list the highest common factor.

The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196

The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885

The HCF of 196,885 is 1.

Lets's calculate GCF of 196,885

Greatest Common Factor (GCF) of 196,885 By Common Division

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

Greatest Common Factor of 196,885 By Matching Biggest Common Factor Method

Now, list down the factors of 196

1,2,4,7,14,28,49,98,196

Now, list down the factors of 885

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 196,885 . The biggest common factor number is the GCF number.
So the greatest common factor 196,885 is 1.

Lets's calculate LCM of 417,977

Lowest Common Multiple of 417,977 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 407409

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407409

Therefore, the GCF of Fractions 196/417,885/977 is 1/407409

Least Common Multiple of 417,977 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 417,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,977) = 1

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

GCF(417,977) x common factors =1 x 1 = 1

LCM(417,977) = ( 417 × 977 ) / 1

LCM(417,977) = 407409 / 1

LCM(417,977) = 407409

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FAQs on GCF of Fractions of 196/417, 885/977

1. What is the HCF of 196,885?

The HCF of 196,885 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 196/417, 885/977?

Answer: GCF of Numerators as per given numbers 196/417, 885/977 is

GCF of Numerators i.e. for 196,885 is 1

LCM of denominators i.e. for 417,977 is 407409.

Thus, GCF of Fractions is 1/407409.Finally, GCF of Fractions for 196/417, 885/977 is 1/407409.