LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 976/19, 368/419

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 976/19, 368/419 i.e 16/7961 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/19, 368/419.

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 976/19,368/419?

Given fractions are 976/19,368/419

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 976/19,368/419, numerators are 976,368

Denominators are 19,419

The GCF of 976,368 is 16 .

LCM of 19,419 is 7961.

The greatest common factor of 976/19,368/419 = [GCF of 976,368]/[LCM of 19,419]= 16/7961

Therefore, the GCF of 976/19,368/419 is 16/7961.

Greatest Common Factor of 976,368

To find the highest common factor of 976,368, we have to find the factors of both numbers and list the highest common factor.

The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

The HCF of 976,368 is 16.

Lets's calculate GCF of 976,368

Greatest Common Factor (GCF) of 976,368 By Common Division

2 976, 368
2 488, 184
2 244, 92
2 122, 46
61, 23

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 976,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,368 By Matching Biggest Common Factor Method

Now, list down the factors of 976

:

1,2,4,8,16,61,122,244,488,976

Now, list down the factors of 368

:

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 976,368 . The biggest common factor number is the GCF number.
So the greatest common factor 976,368 is 16.

Lets's calculate LCM of 19,419

Lowest Common Multiple of 19,419 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7961

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/7961

Therefore, the GCF of Fractions 976/19,368/419 is 16/7961

Least Common Multiple of 19,419 with GCF Formula

Least Common Multiple of 19,419 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 19,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,419) = 1

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

GCF(19,419) x common factors =1 x 1 = 1

LCM(19,419) = ( 19 × 419 ) / 1

LCM(19,419) = 7961 / 1

LCM(19,419) = 7961


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 976/19, 368/419

1. What is the HCF of 976,368?

The HCF of 976,368 is 16

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 976/19, 368/419?

Answer: GCF of Numerators as per given numbers 976/19, 368/419 is

GCF of Numerators i.e. for 976,368 is 16

LCM of denominators i.e. for 19,419 is 7961.

Thus, GCF of Fractions is 16/7961.Finally, GCF of Fractions for 976/19, 368/419 is 16/7961.