How to Find GCF of 77/14, 200/73, 932/221?

GCF of 77/14, 200/73, 932/221

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 77/14, 200/73, 932/221 i.e 1/225862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/14, 200/73, 932/221.

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 77/14,200/73,932/221?

Given fractions are 77/14,200/73,932/221

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 77/14,200/73,932/221, numerators are 77,200,932

Denominators are 14,73,221

The GCF of 77,200,932 is 1 .

LCM of 14,73,221 is 225862.

The greatest common factor of 77/14,200/73,932/221 = [GCF of 77,200,932]/[LCM of 14,73,221]= 1/225862

Therefore, the GCF of 77/14,200/73,932/221 is 1/225862.

Greatest Common Factor of 77,200,932

To find the highest common factor of 77,200,932, we have to find the factors of both numbers and list the highest common factor.

The factors of 77 are 1, 7, 11, 77

The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

The factors of 932 are 1, 2, 4, 233, 466, 932

The HCF of 77,200,932 is 1.

Lets's calculate GCF of 77,200,932

Greatest Common Factor (GCF) of 77,200,932 By Common Division

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

Greatest Common Factor of 77,200,932 By Matching Biggest Common Factor Method

Now, list down the factors of 77

1,7,11,77

Now, list down the factors of 200

1,2,4,5,8,10,20,25,40,50,100,200

Now, list down the factors of 932

1,2,4,233,466,932

Greatest Common Factor

We found the factors 77,200,932 . The biggest common factor number is the GCF number.
So the greatest common factor 77,200,932 is 1.

Lets's calculate LCM of 14,73,221

Lowest Common Multiple of 14,73,221 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 225862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225862

Therefore, the GCF of Fractions 77/14,200/73,932/221 is 1/225862

Least Common Multiple of 14,73,221 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 14,73,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,73,221) = 1

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

GCF(14,73,221) x common factors =1 x 1 = 1

LCM(14,73,221) = ( 14 × 73 × 221 ) / 1

LCM(14,73,221) = 225862 / 1

LCM(14,73,221) = 225862

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 77/14, 200/73, 932/221

1. What is the HCF of 77,200,932?

The HCF of 77,200,932 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 77/14, 200/73, 932/221?

Answer: GCF of Numerators as per given numbers 77/14, 200/73, 932/221 is

GCF of Numerators i.e. for 77,200,932 is 1

LCM of denominators i.e. for 14,73,221 is 225862.

Thus, GCF of Fractions is 1/225862.Finally, GCF of Fractions for 77/14, 200/73, 932/221 is 1/225862.